Organization: Pearson Education
Product Name: Indiana High School Algebra 1
Product Version: v1.0


Source:     IMS Online Validator
Profile:    1.2.0
Identifier: realize-2c97a007-275d-3aa0-96ca-3e7bace53813
Timestamp:  Thursday, January 24, 2019 03:04 PM EST
Status:     VALID!
Conformant: true

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Resource Validation Results
The document is valid.

-----    VALID!    -----
Schema Location Results
Schema locations are valid.

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Schema Validation Results
The document is valid.

-----    VALID!    -----
Schematron Validation Results
The document is valid.

Curriculum Standards:

Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. - AI.F.3
Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. - AI.F.2
Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. - AI.F.4
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). - AI.F.1
Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. - AI.L.5
Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). - AI.L.4
Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. - AI.L.7
Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. - AI.L.6
Understand that the steps taken when solving linear quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. - AI.L.1
Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. - AI.L.3
Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. - AI.L.2
Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. - AI.QE.4
Solve absolute value linear equations in one variable. - AI.L.9
Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. - AI.QE.5
Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. - AI.L.8
Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. - AI.QE.6
Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. - AI.QE.7
Reason abstractly and quantitatively. - PS.2
Make sense of problems and persevere in solving them. - PS.1
Look for and express regularity in repeated reasoning. - PS.8
Look for and make use of structure. - PS.7
Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. - AI.QE.1
Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. - AI.QE.2
Graph exponential and quadratic equations in two variables with and without technology. - AI.QE.3
Model with mathematics. - PS.4
Construct viable arguments and critique the reasoning of others. - PS.3
Attend to precision. - PS.6
Use appropriate tools strategically. - PS.5
Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. - AI.RNE.5
Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. - AI.SEI.1
Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. - AI.RNE.6
Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. - AI.SEI.2
Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. - AI.RNE.3
Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. - AI.SEI.3
Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. - AI.DS.6
Simplify square roots of non-perfect square integers and algebraic monomials. - AI.RNE.4
Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. - AI.SEI.4
Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. - AI.DS.5
Distinguish between correlation and causation. - AI.DS.4
Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. - AI.DS.3
Graph absolute value linear equations in two variables. - AI.L.10
Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. - AI.RNE.7
Graph bivariate data on a scatter plot and describe the relationship between the variables. - AI.DS.2
Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. - AI.DS.1
Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. - AI.L.11
Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. - AI.RNE.1
Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. - AI.RNE.2


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Title: Indiana High School Math Algebra 1 2017


         Tools

            Math Tools

            Glossary

            Virtual Nerd� Tutorials

            Dynamic Activities

            Student Resources Download Center

         Entry-Level Assessment

         Algebra 1 Next-Generation Practice Test

         Practice Performance Tasks

            3/4-Year Practice Performance Task 1

            3/4-Year Practice Performance Task 2

         Foundations For Algebra

            Homework Video Tutor: Finding the greatest common factor using prime factorization

            Homework Video Tutor: Finding the least common multiple of two numbers

            Homework Video Tutor: Estimating decimal sums by rounding

            Homework Video Tutor: Estimating whole number sums and differences using rounding

            Homework Video Tutor: Writing a fraction as a repeating decimal

            Homework Video Tutor: Subtracting mixed numbers using renaming

            Homework Video Tutor: Adding fractions with unlike denominators

            Virtual Nerd� Tutorial: What is simplest form of a fraction?

            Chapter 1 Get Ready

            Chapter 1 My Math Video
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Variables and Expressions

               Student eText Lesson 1-1
                 Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing Expressions With Addition and Subtraction
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing Expressions With Multiplication and Division
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing Expressions With Two Operations
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using Words for an Expression
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing a Rule to Describe a Pattern
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  1-1 Virtual Nerd� Tutorial: What Are Numerical and Algebraic Expressions?
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               1-1 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  1-1 Lesson Quiz
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

            Order of Operations and Evaluating Expressions

               Student eText Lesson 1-2
                 Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Simplifying Powers
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

                  Simplifying a Numerical Expression
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

                  Evaluating Algebraic Expressions
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

                  Evaluating a Real-World Expression
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

                  Simplifying Powers
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

                  Simplifying a Numerical Expression
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  1-2 Virtual Nerd� Tutorial: What's the Order of Operations?
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

               1-2 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  1-2 Lesson Quiz
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Real Numbers and the Number Line

               Student eText Lesson 1-3
                 Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Simplifying Square Root Expressions
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

                  Estimating a Square Root
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

                  Classifying Real Numbers
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

                  Comparing Real Numbers
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

                  Graphing and Ordering Real Numbers
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

                  Classifying Real Numbers
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  1-3 Virtual Nerd� Tutorial: How Do Different Categories of Numbers Compare To Each Other?
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

               1-3 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

               Step 5: Assess and Remediate

                  1-3 Lesson Quiz
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Properties of Real Numbers

               Student eText Lesson 1-4
                 Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Properties
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Using Properties for Mental Calculations
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Writing Equivalent Expressions
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Using Deductive Reasoning and Counterexamples
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  1-4 Virtual Nerd� Tutorial: What are the Commutative Properties of Addition and Multiplication?
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

               1-4 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  1-4: Lesson Quiz
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

            Chapter 1 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 1 Mid-Chapter Quiz
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Adding and Subtracting Real Numbers

               Student eText Lesson 1-5
                 Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using Number Line Models
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

                  Adding Real Numbers
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

                  Subtracting Real Numbers
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

                  Adding and Subtracting Real Numbers
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

               Step 3: Lesson Check and Step 4: Practice

                  1-5 Virtual Nerd� Tutorial: What are the Rules for Using Absolute Values to Add Integers?
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

               1-5 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

               Step 5: Assess and Remediate

                  1-5 Lesson Quiz
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Multiplying and Dividing Real Numbers

               Student eText Lesson 1-6
                 Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Multiplying Real Numbers
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

                  Simplifying Square Root Expressions
                    Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

                  Dividing Real Numbers
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

                  Dividing Fractions
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

               Step 3: Lesson Check and Step 4: Practice

                  1-6 Virtual Nerd� Tutorial: How Do You Figure Out the Sign of a Product or Quotient?
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

               1-6 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

               Step 5: Assess and Remediate

                  1-6: Lesson Quiz
                    Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            The Distributive Property

               Student eText Lesson 1-7

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Simplifying Expressions

                  Rewriting Fraction Expressions

                  Using the Multiplication Property of -1

                  Using the Distributive Property for Mental Math

                  Combining Like Terms

               Step 3: Lesson Check and Step 4: Practice

                  1-7 Virtual Nerd� Tutorial: What's the Distributive Property?

               1-7 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  1-7: Lesson Quiz

            An Introduction to Equations

               Student eText Lesson 1-8
                 Curriculum Standards: Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Classifying Equations
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

                  Identifying Solutions of an Equation
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

                  Writing an Equation
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

                  Using Mental Math to Find Solutions
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

                  Using a Table to Find a Solution
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

                  Estimating a Solution
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  1-8 Virtual Nerd� Tutorial: How Do You Solve an Equation by Guessing and Checking?
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

               1-8 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  1-8: Lesson Quiz
                    Curriculum Standards: Look for and express regularity in repeated reasoning. 

            Patterns, Equations, and Graphs

               Student eText Lesson 1-9

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Solutions of a Two-Variable Equation

                  Using a Table, an Equation, and a Graph

                  Extending a Pattern

               Step 3: Lesson Check and Step 4: Practice

                  1-9 Virtual Nerd� Tutorial: How Do You Check if a Point is on a Line If You Have an Equation?

               1-9 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  1-9: Lesson Quiz

            Edgy Design

            Chapter 1 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 1 Test
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

         Solving Equations

            Using Number Line Models
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Adding Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Subtracting Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Adding and Subtracting Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Multiplying Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Simplifying Square Root Expressions
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Dividing Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Dividing Fractions
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Using the Distributive Property for Mental Math

            Combining Like Terms

            Extending a Pattern

            Chapter 1 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Homework Video Tutor: Writing a linear equation using a table

            Homework Video Tutor: Adding integers using rules
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Homework Video Tutor: Subtracting integers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Homework Video Tutor: Adding decimals
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Homework Video Tutor: Subtracting decimals
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Homework Video Tutor: Adding fractions with unlike denominators

            Homework Video Tutor: Subtracting mixed numbers using renaming

            Homework Video Tutor: Algebraic expressions and order of operations
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Homework Video Tutor: Solving multi-step equations by combining like terms

            Chapter 2 Get Ready
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. Look for and express regularity in repeated reasoning. 

            Chapter 2 My Math Video
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Solving One-Step Equations

               Student eText Lesson 2-1
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving an Equation Using Subtraction
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation Using Addition
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation Using Division
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation Using Multiplication
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving Equations Using Reciprocals
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Using a One-Step Equation as a Model
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation Using Addition
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation Using Division
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 3: Lesson Check and Step 4: Practice

                  2-1 Virtual Nerd� Tutorial: What's the Addition Property of Equality?
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               2-1 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 5: Assess and Remediate

                  2-1: Lesson Quiz
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving Two-Step Equations

               Student eText Lesson 2-2
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving a Two-Step Equation
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Using an Equation as a Model
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving With Two Terms in the Numerator
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Using Deductive Reasoning
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving a Two-Step Equation
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 3: Lesson Check and Step 4: Practice

                  2-2 Virtual Nerd� Tutorial: How Do You Solve a Two-Step Equation With a Negative Variable Term?
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               2-2 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 5: Assess and Remediate

                  2-2: Lesson Quiz
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving Multi-Step Equations

               Student eText Lesson 2-3
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Combining Like Terms

                  Solving a Multi-Step Equation
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving Using the Distributive Property
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation that Contains Fractions
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation that Contains Decimals
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  Solving an Equation that Contains Decimals
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 3: Lesson Check and Step 4: Practice

                  2-3 Virtual Nerd� Tutorial: How Do You Solve a Multi-Step Equation Using the Distributive Property?
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

                  2-3 Virtual Nerd� Tutorial: How Do You Solve a Two-Step Equation with Fractions by Multiplying Away the Fraction?
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               2-3 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

               Step 5: Assess and Remediate

                  2-3: Lesson Quiz
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving Equations With Variables on Both Sides

               Student eText Lesson 2-4

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving an Equation With Variables on Both Sides

                  Using an Equation With Variables on Both Sides

                  Solving an Equation With Grouping Symbols

                  Identities and Equations With No Solution

                  Identities and Equations With No Solution

               Step 3: Lesson Check and Step 4: Practice

                  2-4 Virtual Nerd� Tutorial: How Do You Solve an Equation with Variables on Both Sides?

                  2-4 Virtual Nerd� Tutorial: How Do You Solve an Identity Equation?

               2-4 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  2-4: Lesson Quiz

            Literal Equations and Formulas

               Student eText Lesson 2-5
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Rewriting a Literal Equation
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

                  Rewriting a Literal Equation With Only Variables
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

                  Rewriting a Geometric Formula
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

                  Rewriting a Formula
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

                  Rewriting a Literal Equation With Only Variables
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  2-5 Virtual Nerd� Tutorial: What is a Literal Equation?
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

                  2-5 Virtual Nerd� Tutorial: How Do You Solve a Formula For a Variable?
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

               2-5 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  2-5: Lesson Quiz
                    Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

            Chapter 2 Math XL: Mid-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Chapter 2 Mid-Chapter Quiz
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Ratios, Rates, and Conversions

               Student eText Lesson 2-6
                 Curriculum Standards: Use appropriate tools strategically. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Comparing Unit Rates
                    Curriculum Standards: Use appropriate tools strategically. 

                  Converting Units
                    Curriculum Standards: Use appropriate tools strategically. 

                  Converting Units Between Systems
                    Curriculum Standards: Use appropriate tools strategically. 

                  Converting Rates
                    Curriculum Standards: Use appropriate tools strategically. 

               Step 3: Lesson Check and Step 4: Practice

                  2-6 Virtual Nerd� Tutorial: What are Rates and Unit Rates?
                    Curriculum Standards: Use appropriate tools strategically. 

               2-6 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Use appropriate tools strategically. 

               Step 5: Assess and Remediate

                  2-6: Lesson Quiz
                    Curriculum Standards: Use appropriate tools strategically. 

            A Head Start

            Solving Proportions

               Student eText Lesson 2-7
                 Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving a Proportion Using the Multiplication Property
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

                  Solving a Proportion Using the Cross Products Property
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

                  Solving a Multi-Step Proportion
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

                  Using a Proportion to Solve a Problem
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  2-7 Virtual Nerd� Tutorial: How Do You Solve a Proportion Using Cross Products?
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

                  2-7 Virtual Nerd� Tutorial: How Do You Solve a Proportion Using the Multiplication Property of Equality?
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

               2-7 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  2-7: Lesson Quiz
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

            Proportions and Similar Figures

               Student eText Lesson 2-8
                 Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding the Length of a Side
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  Applying Similarity
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  Interpreting Scale Drawings
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  Using Scale Models
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               Step 3: Lesson Check and Step 4: Practice

                  2-8 Virtual Nerd� Tutorial: What are Similar Figures?
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  2-8 Virtual Nerd� Tutorial: How Do You Find Missing Measurements of Similar Figures Using a Proportion?
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               2-8 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               Step 5: Assess and Remediate

                  2-8: Lesson Quiz
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Percents

               Student eText Lesson 2-9

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding a Percent Using the Percent Proportion

                  Finding a Percent Using the Percent Equation

                  Finding a Part

                  Finding a Base

                  Using the Simple Interest Formula

                  Finding a Percent Using the Percent Equation

               Step 3: Lesson Check and Step 4: Practice

                  2-9 Virtual Nerd� Tutorial: What's a Percent Proportion?

               2-9 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  2-9 Lesson Quiz

            Change Expressed as a Percent

               Student eText Lesson 2-10

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding a Percent Decrease

                  Finding a Percent Increase

                  Finding Percent Error

                  Finding Minimum and Maximum Dimensions

                  Finding the Greatest Possible Percent Error

                  Finding a Percent Decrease

               Step 3: Lesson Check and Step 4: Practice

                  2-10 Virtual Nerd� Tutorial: What's a Percent of Change?

               2-10 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  2-10: Lesson Quiz

            Chapter 2 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Chapter 2 Test
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         Writing Expressions With Addition and Subtraction
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

         Writing Expressions With Multiplication and Division
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

         Writing Expressions With Two Operations
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

         Using Words for an Expression
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

         Writing a Rule to Describe a Pattern
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

         1-1 Virtual Nerd� Tutorial: What Are Numerical and Algebraic Expressions?
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

         Simplifying a Numerical Expression
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Solving an Equation Using Division
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         2-1 Virtual Nerd� Tutorial: What's the Addition Property of Equality?
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving a Two-Step Equation
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Using an Equation as a Model
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving With Two Terms in the Numerator
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Using Deductive Reasoning
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving a Two-Step Equation
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         2-2 Virtual Nerd� Tutorial: How Do You Solve a Two-Step Equation With a Negative Variable Term?
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Combining Like Terms

         Solving a Multi-Step Equation
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving Using the Distributive Property
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving an Equation that Contains Fractions
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving an Equation that Contains Decimals
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving an Equation that Contains Decimals
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         2-3 Virtual Nerd� Tutorial: How Do You Solve a Multi-Step Equation Using the Distributive Property?
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         2-3 Virtual Nerd� Tutorial: How Do You Solve a Two-Step Equation with Fractions by Multiplying Away the Fraction?
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Evaluating Algebraic Expressions
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Evaluating a Real-World Expression
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Simplifying Powers
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Solving an Equation With Variables on Both Sides

         Using an Equation With Variables on Both Sides

         Solving an Equation With Grouping Symbols

         Identities and Equations With No Solution

         Identities and Equations With No Solution

         1-2 Virtual Nerd� Tutorial: What's the Order of Operations?
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Simplifying Square Root Expressions
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

         Estimating a Square Root
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

         Classifying Real Numbers
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

         2-4 Virtual Nerd� Tutorial: How Do You Solve an Equation with Variables on Both Sides?

         2-4 Virtual Nerd� Tutorial: How Do You Solve an Identity Equation?

         Rewriting a Literal Equation
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

         Rewriting a Literal Equation With Only Variables
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

         Comparing Real Numbers
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

         Graphing and Ordering Real Numbers
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

         Classifying Real Numbers
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

         1-3 Virtual Nerd� Tutorial: How Do Different Categories of Numbers Compare To Each Other?
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

         Rewriting a Geometric Formula
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

         Rewriting a Formula
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

         Rewriting a Literal Equation With Only Variables
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

         2-5 Virtual Nerd� Tutorial: What is a Literal Equation?
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

         2-5 Virtual Nerd� Tutorial: How Do You Solve a Formula For a Variable?
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

         Identifying Properties
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

         Using Properties for Mental Calculations
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

         Writing Equivalent Expressions
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

         Using Deductive Reasoning and Counterexamples
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

         1-4 Virtual Nerd� Tutorial: What are the Commutative Properties of Addition and Multiplication?
           Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Reason abstractly and quantitatively. Look for and make use of structure. 

         Comparing Unit Rates
           Curriculum Standards: Use appropriate tools strategically. 

         Converting Units
           Curriculum Standards: Use appropriate tools strategically. 

         Converting Units Between Systems
           Curriculum Standards: Use appropriate tools strategically. 

         Converting Rates
           Curriculum Standards: Use appropriate tools strategically. 

         Using Number Line Models
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

         Adding Real Numbers
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

         Subtracting Real Numbers
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

         Adding and Subtracting Real Numbers
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

         2-6 Virtual Nerd� Tutorial: What are Rates and Unit Rates?
           Curriculum Standards: Use appropriate tools strategically. 

         Solving a Proportion Using the Multiplication Property
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

         Solving a Proportion Using the Cross Products Property
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

         Solving a Multi-Step Proportion
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

         1-5 Virtual Nerd� Tutorial: What are the Rules for Using Absolute Values to Add Integers?
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

         Multiplying Real Numbers
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

         Simplifying Square Root Expressions
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

         Dividing Real Numbers
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

         Dividing Fractions
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

         1-6 Virtual Nerd� Tutorial: How Do You Figure Out the Sign of a Product or Quotient?
           Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

         Simplifying Expressions

         Rewriting Fraction Expressions

         Using a Proportion to Solve a Problem
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

         2-7 Virtual Nerd� Tutorial: How Do You Solve a Proportion Using Cross Products?
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

         2-7 Virtual Nerd� Tutorial: How Do You Solve a Proportion Using the Multiplication Property of Equality?
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

         Finding the Length of a Side
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         Using the Multiplication Property of -1

         Using the Distributive Property for Mental Math

         Combining Like Terms

         1-7 Virtual Nerd� Tutorial: What's the Distributive Property?

         Applying Similarity
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         Interpreting Scale Drawings
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         Using Scale Models
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         2-8 Virtual Nerd� Tutorial: What are Similar Figures?
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         2-8 Virtual Nerd� Tutorial: How Do You Find Missing Measurements of Similar Figures Using a Proportion?
           Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         Classifying Equations
           Curriculum Standards: Look for and express regularity in repeated reasoning. 

         Identifying Solutions of an Equation
           Curriculum Standards: Look for and express regularity in repeated reasoning. 

         Writing an Equation
           Curriculum Standards: Look for and express regularity in repeated reasoning. 

         Using Mental Math to Find Solutions
           Curriculum Standards: Look for and express regularity in repeated reasoning. 

         Using a Table to Find a Solution
           Curriculum Standards: Look for and express regularity in repeated reasoning. 

         Finding a Percent Using the Percent Proportion

         Finding a Percent Using the Percent Equation

         Finding a Part

         Finding a Base

         Estimating a Solution
           Curriculum Standards: Look for and express regularity in repeated reasoning. 

         1-8 Virtual Nerd� Tutorial: How Do You Solve an Equation by Guessing and Checking?
           Curriculum Standards: Look for and express regularity in repeated reasoning. 

         Identifying Solutions of a Two-Variable Equation

         Using a Table, an Equation, and a Graph

         Using the Simple Interest Formula

         Finding a Percent Using the Percent Equation

         2-9 Virtual Nerd� Tutorial: What's a Percent Proportion?

         Finding a Percent Decrease

         Extending a Pattern

         1-9 Virtual Nerd� Tutorial: How Do You Check if a Point is on a Line If You Have an Equation?

         Solving an Equation Using Subtraction
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving an Equation Using Addition
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Finding a Percent Increase

         Finding Percent Error

         Finding Minimum and Maximum Dimensions

         Finding the Greatest Possible Percent Error

         Finding a Percent Decrease

         Solving an Equation Using Division
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving an Equation Using Multiplication
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving Equations Using Reciprocals
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Using a One-Step Equation as a Model
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         Solving an Equation Using Addition
           Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

         2-10 Virtual Nerd� Tutorial: What's a Percent of Change?

         Simplifying a Numerical Expression
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Simplifying Powers
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Benchmark Test 1
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

         Solving Inequalities

            Comparing Real Numbers
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Graphing and Ordering Real Numbers
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Adding Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Solving an Equation Using Subtraction
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving an Equation Using Addition
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving an Equation Using Division
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving an Equation Using Multiplication
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving Equations Using Reciprocals
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Using a One-Step Equation as a Model
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving a Two-Step Equation
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Using an Equation as a Model
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving With Two Terms in the Numerator
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Using Deductive Reasoning
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Combining Like Terms

            Solving a Multi-Step Equation
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving Using the Distributive Property
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving an Equation that Contains Fractions
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving an Equation that Contains Decimals
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving an Equation With Variables on Both Sides

            Using an Equation With Variables on Both Sides

            Solving an Equation With Grouping Symbols

            Identities and Equations With No Solution

            Chapter 1 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 1 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 2 Math XL: Mid-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Homework Video Tutor: Ordering rational numbers
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Homework Video Tutor: Finding absolute value
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. 

            Homework Video Tutor: Solving one-step whole number equations by adding
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Homework Video Tutor: Solving one-step whole number equations by subtracting
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Homework Video Tutor: Solving one-step whole number equations by multiplying
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Homework Video Tutor: Solving one-step whole number equations by dividing
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Homework Video Tutor: Solving two-step equations
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Homework Video Tutor: Solving multi-step equations
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Chapter 3 Get Ready
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Chapter 3 My Math Video
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Inequalities and Their Graphs

               Student eText Lesson 3-1
                 Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing Inequalities
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

                  Identifying Solutions by Evaluating
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

                  Graphing an Inequality
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

                  Writing an Inequality From a Graph
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

                  Writing Real-World Inequalities
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  3-1 Virtual Nerd� Tutorial: How Do You Write an Inequality from a Number Line Graph?
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

               3-1 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

               Step 5: Assess and Remediate

                  3-1 Lesson Quiz
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

            Solving Inequalities Using Addition or Subtraction

               Student eText Lesson 3-2
                 Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using the Addition Property of Inequality
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

                  Solving an Inequality and Checking Solutions
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

                  Using the Subtraction Property of Inequality
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

                  Writing and Solving an Inequality
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

               Step 3: Lesson Check and Step 4: Practice

                  3-2 Virtual Nerd� Tutorial: What's the Addition Property of Inequality?
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

               3-2 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

               Step 5: Assess and Remediate

                  3-2 Lesson Quiz
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

            Solving Inequalities Using Multiplication or Division

               Student eText Lesson 3-3
                 Curriculum Standards: Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Multiplying by a Positive Number
                    Curriculum Standards: Look for and make use of structure. 

                  Multiplying by a Negative Number
                    Curriculum Standards: Look for and make use of structure. 

                  Dividing by a Positive Number
                    Curriculum Standards: Look for and make use of structure. 

                  Dividing by a Negative Number
                    Curriculum Standards: Look for and make use of structure. 

                  Multiplying by a Positive Number
                    Curriculum Standards: Look for and make use of structure. 

                  Multiplying by a Negative Number
                    Curriculum Standards: Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  3-3 Virtual Nerd� Tutorial: What's the Multiplication Property of Inequality?
                    Curriculum Standards: Look for and make use of structure. 

               3-3 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Look for and make use of structure. 

               Step 5: Assess and Remediate

                  3-3 Lesson Quiz
                    Curriculum Standards: Look for and make use of structure. 

            Solving Multi-Step Inequalities

               Student eText Lesson 3-4

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using More Than One Step

                  Writing and Solving a Multi-step Inequality

                  Using the Distributive Property

                  Solving an Inequality With Variables on Both Sides

                  Inequalities With Special Solutions

                  Using the Distributive Property

               Step 3: Lesson Check and Step 4: Practice

                  3-4 Virtual Nerd� Tutorial: What Does it Mean When an Inequality is a Contradiction or Has No Solution?

                  3-4 Virtual Nerd� Tutorial: How Do You Solve and Graph a Two-Step Inequality?

               3-4 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  3-4 Lesson Quiz

            Collecting Cans

            Chapter 3 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. 

            Chapter 3 Mid-Chapter Quiz
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. 

            Working with Sets

               Student eText Lesson 3-5
                 Curriculum Standards: Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using Roster Form and Set-Builder Notation
                    Curriculum Standards: Attend to precision. 

                  Inequalities and Set-Builder Notation
                    Curriculum Standards: Attend to precision. 

                  Finding Subsets
                    Curriculum Standards: Attend to precision. 

                  Finding the Complement of a Set
                    Curriculum Standards: Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  3-5 Virtual Nerd� Tutorial: What's a Set?
                    Curriculum Standards: Attend to precision. 

               3-5 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Attend to precision. 

               Step 5: Assess and Remediate

                  3-5 Lesson Quiz
                    Curriculum Standards: Attend to precision. 

            Compound Inequalities

               Student eText Lesson 3-6
                 Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing a Compound Inequality
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

                  Solving a Compound Inequality Involving ?the word 'And '?
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

                  Writing and Solving a Compound Inequality
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

                  Solving a Compound Inequality Involving ?the word '?Or?'
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

                  Using Interval Notation
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

               Step 3: Lesson Check and Step 4: Practice

                  3-6 Virtual Nerd� Tutorial: What's a Compound Inequality?
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

                  3-6 Virtual Nerd� Tutorial: How Do You Solve an AND Compound Inequality and Graph It On a Number Line?
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

               3-6 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

               Step 5: Assess and Remediate

                  3-6 Lesson Quiz
                    Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

            Absolute Value Equations and Inequalities

               Student eText Lesson 3-7
                 Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving an Absolute Value Equation
                    Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

                  Solving an Absolute Value Equation
                    Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

                  Solving an Absolute Value Equation With No Solution
                    Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

                  Solving an Absolute Value Inequality Involving 'greater than or equal to' symbol
                    Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

                  Solving an Absolute Value Inequality Involving 'less than or equal to' symbol
                    Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

               Step 3: Lesson Check and Step 4: Practice

                  3-7 Virtual Nerd� Tutorial: How Do You Solve a Less Than Absolute Value Inequality and Graph It On a Number Line?
                    Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

               3-7 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

               Step 5: Assess and Remediate

                  3-7 Lesson Quiz
                    Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Unions and Intersections of Sets

               Student eText Lesson 3-8

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Union of Sets

                  Intersection of Sets

                  Making a Venn Diagram

                  Using a Venn Diagram

                  Writing Solutions of an Inequality

               Step 3: Lesson Check and Step 4: Practice

                  3-8 Virtual Nerd� Tutorial: What's a Venn Diagram, and How Do You Find the Intersection and Union of a Set?

               3-8 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  3-8 Lesson Quiz

            Chapter 3 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Chapter 3 Test
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

         An Introduction to Functions

            Simplifying a Numerical Expression
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Evaluating Algebraic Expressions
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Evaluating a Real-World Expression
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Simplifying Powers
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Identifying Solutions of a Two-Variable Equation

            Using a Table, an Equation, and a Graph

            Extending a Pattern

            Solving a Two-Step Equation
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Using an Equation as a Model
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving With Two Terms in the Numerator
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Using Deductive Reasoning
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Solving an Absolute Value Equation
              Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Solving an Absolute Value Equation
              Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Solving an Absolute Value Equation With No Solution
              Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Chapter 1 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 1 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 2 Math XL: Mid-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Chapter 3 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Homework Video Tutor: Evaluating algebraic expressions with more than one variable
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Evaluating algebraic expressions with one variable
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Modeling real world situations using linear equations

            Homework Video Tutor: Graphing points on the coordinate plane

            Homework Video Tutor: Solving two-step equations
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Homework Video Tutor: Solving absolute value equations
              Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Chapter 4 Get Ready
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Chapter 4 My Math Video
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Using Graphs to Relate Two Quantities

               Student eText Lesson 4-1
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               4-1 Dynamic Activity:  Domain of A Function
               4-1 Dynamic Activity: Domain of A Function
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Analyzing a Graph
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

                  Matching a Table and a Graph
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

                  Sketching a Graph
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 3: Lesson Check and Step 4: Practice

                  4-1 Virtual Nerd� Tutorial: How Do You Make an Approximate Graph From a Word Problem?
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               4-1 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 5: Assess and Remediate

                  4-1 Lesson Quiz
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

            The Mad Runner

            Patterns and Linear Functions

               Student eText Lesson 4-2
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Representing a Geometric Relationship
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

                  Representing a Linear Function
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 3: Lesson Check and Step 4: Practice

                  4-2 Virtual Nerd� Tutorial: What's a Function?
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

                  4-2 Virtual Nerd� Tutorial: How Do You Write a Function Rule From a Table of Values?
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               4-2 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 5: Assess and Remediate

                  4-2 Lesson Quiz
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

            Patterns and Nonlinear Functions

               Student eText Lesson 4-3
                 Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Classifying Functions as Linear or Nonlinear
                    Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

                  Representing Patterns and Nonlinear Functions
                    Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

                  Writing a Rule to Describe a Nonlinear Function
                    Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 3: Lesson Check and Step 4: Practice

                  4-3 Virtual Nerd� Tutorial: How Can You Tell if a Function is Linear or Nonlinear From a Table?
                    Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

                  4-3 Virtual Nerd� Tutorial: How Can You Tell if a Function is Linear or Nonlinear From a Graph?
                    Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               4-3 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

               Step 5: Assess and Remediate

                  4-3 Lesson Quiz
                    Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

            Chapter 4 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

            Chapter 4 Mid-Chapter Quiz
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

            Graphing a Function Rule

               Student eText Lesson 4-4
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Graphing a Function Rule
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

                  Graphing a Real-World Function Rule
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

                  Identifying Continuous and Discrete Graphs
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

                  Graphing Nonlinear Function Rules
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

               Step 3: Lesson Check and Step 4: Practice

                  4-4 Virtual Nerd� Tutorial: How Do You Graph a Linear Equation by Making a Table?
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

                  4-4 Virtual Nerd� Tutorial: How Do You Use the Graph of a Linear Equation to Solve a Word Problem?
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

               4-4 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

               Step 5: Assess and Remediate

                  4-4 Lesson Quiz
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Writing a Function Rule

               Student eText Lesson 4-5

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing a Function Rule

                  Writing and Evaluating a Function Rule

                  Writing a Nonlinear Function Rule

               Step 3: Lesson Check and Step 4: Practice

                  4-5 Virtual Nerd� Tutorial: How Do You Write an Equation from a Word Problem?

               4-5 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  4-5 Lesson Quiz

            Formalizing Relations and Functions

               Student eText Lesson 4-6
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Functions Using Mapping Diagrams
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

                  Identifying Functions Using the Vertical Line Test
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

                  Evaluating a Function
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

                  Finding the Range of a Function
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

                  Identifying a Reasonable Domain and Range
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  4-6 Virtual Nerd� Tutorial: What's the Vertical Line Test?
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

                  4-6 Virtual Nerd� Tutorial: How Can You Tell if a Relation is Not a Function?
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

               4-6 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

               Step 5: Assess and Remediate

                  4-6 Lesson Quiz
                    Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Arithmetic Sequences

               Student eText Lesson 4-7

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Extending Sequences

                  Identifying an Arithmetic Sequence

                  Writing a Recursive Formula

                  Writing an Explicit Formula

                  Writing Explicit Formulas From Recursive Formulas

                  Writing Recursive Formulas From Explicit Formulas

               Step 3: Lesson Check and Step 4: Practice

                  4-7 Virtual Nerd� Tutorial: What's an Arithmetic Sequence?

               4-7 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  4-7 Lesson Quiz

            Chapter 4 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Chapter 4 Test
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         Writing Inequalities
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

         Identifying Solutions by Evaluating
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

         Graphing an Inequality
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

         Writing an Inequality From a Graph
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

         Writing Real-World Inequalities
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

         3-1 Virtual Nerd� Tutorial: How Do You Write an Inequality from a Number Line Graph?
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

         Using the Addition Property of Inequality
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

         Identifying Continuous and Discrete Graphs
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

         4-4 Virtual Nerd� Tutorial: How Do You Use the Graph of a Linear Equation to Solve a Word Problem?
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

         Graphing Nonlinear Function Rules
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

         Writing a Function Rule

         Writing and Evaluating a Function Rule

         Writing a Nonlinear Function Rule

         4-5 Virtual Nerd� Tutorial: How Do You Write an Equation from a Word Problem?

         Representing a Geometric Relationship
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Representing a Linear Function
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         4-2 Virtual Nerd� Tutorial: What's a Function?
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         4-2 Virtual Nerd� Tutorial: How Do You Write a Function Rule From a Table of Values?
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         4-4 Virtual Nerd� Tutorial: How Do You Graph a Linear Equation by Making a Table?
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

         Identifying Functions Using Mapping Diagrams
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         Identifying Functions Using the Vertical Line Test
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         Classifying Functions as Linear or Nonlinear
           Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Representing Patterns and Nonlinear Functions
           Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Writing a Rule to Describe a Nonlinear Function
           Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         4-3 Virtual Nerd� Tutorial: How Can You Tell if a Function is Linear or Nonlinear From a Table?
           Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Evaluating a Function
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         Finding the Range of a Function
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         Identifying a Reasonable Domain and Range
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         4-6 Virtual Nerd� Tutorial: What's the Vertical Line Test?
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         4-6 Virtual Nerd� Tutorial: How Can You Tell if a Relation is Not a Function?
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

         4-3 Virtual Nerd� Tutorial: How Can You Tell if a Function is Linear or Nonlinear From a Graph?
           Curriculum Standards: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Extending Sequences

         Identifying an Arithmetic Sequence

         Writing a Recursive Formula

         Writing an Explicit Formula

         Writing Explicit Formulas From Recursive Formulas

         Writing Recursive Formulas From Explicit Formulas

         4-7 Virtual Nerd� Tutorial: What's an Arithmetic Sequence?

         Graphing a Function Rule
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

         Graphing a Real-World Function Rule
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

         Analyzing a Graph
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Matching a Table and a Graph
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Sketching a Graph
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         4-1 Virtual Nerd� Tutorial: How Do You Make an Approximate Graph From a Word Problem?
           Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. 

         Solving an Inequality and Checking Solutions
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

         Using the Subtraction Property of Inequality
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

         Writing and Solving an Inequality
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

         3-2 Virtual Nerd� Tutorial: What's the Addition Property of Inequality?
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. 

         Multiplying by a Positive Number
           Curriculum Standards: Look for and make use of structure. 

         Multiplying by a Negative Number
           Curriculum Standards: Look for and make use of structure. 

         Dividing by a Positive Number
           Curriculum Standards: Look for and make use of structure. 

         Dividing by a Negative Number
           Curriculum Standards: Look for and make use of structure. 

         Multiplying by a Positive Number
           Curriculum Standards: Look for and make use of structure. 

         Multiplying by a Negative Number
           Curriculum Standards: Look for and make use of structure. 

         3-3 Virtual Nerd� Tutorial: What's the Multiplication Property of Inequality?
           Curriculum Standards: Look for and make use of structure. 

         Using More Than One Step

         Writing and Solving a Multi-step Inequality

         Using the Distributive Property

         Solving an Inequality With Variables on Both Sides

         Inequalities With Special Solutions

         Using the Distributive Property

         3-4 Virtual Nerd� Tutorial: How Do You Solve and Graph a Two-Step Inequality?

         3-4 Virtual Nerd� Tutorial: What Does it Mean When an Inequality is a Contradiction or Has No Solution?

         Using Roster Form and Set-Builder Notation
           Curriculum Standards: Attend to precision. 

         Inequalities and Set-Builder Notation
           Curriculum Standards: Attend to precision. 

         Finding Subsets
           Curriculum Standards: Attend to precision. 

         Finding the Complement of a Set
           Curriculum Standards: Attend to precision. 

         3-5 Virtual Nerd� Tutorial: What's a Set?
           Curriculum Standards: Attend to precision. 

         Writing a Compound Inequality
           Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

         Solving a Compound Inequality Involving ?the word 'And '?
           Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

         Writing and Solving a Compound Inequality
           Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

         Solving a Compound Inequality Involving ?the word '?Or?'
           Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

         Using Interval Notation
           Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

         3-6 Virtual Nerd� Tutorial: What's a Compound Inequality?
           Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

         3-6 Virtual Nerd� Tutorial: How Do You Solve an AND Compound Inequality and Graph It On a Number Line?
           Curriculum Standards: Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. 

         Solving an Absolute Value Equation
           Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

         Solving an Absolute Value Equation
           Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

         Solving an Absolute Value Equation With No Solution
           Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

         Solving an Absolute Value Inequality Involving 'greater than or equal to' symbol
           Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

         Solving an Absolute Value Inequality Involving 'less than or equal to' symbol
           Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

         3-7 Virtual Nerd� Tutorial: How Do You Solve a Less Than Absolute Value Inequality and Graph It On a Number Line?
           Curriculum Standards: Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

         Union of Sets

         Intersection of Sets

         Making a Venn Diagram

         Using a Venn Diagram

         Writing Solutions of an Inequality

         3-8 Virtual Nerd� Tutorial: What's a Venn Diagram, and How Do You Find the Intersection and Union of a Set?

         Benchmark Test 2
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. 

         Linear Functions

            Identifying Solutions of a Two-Variable Equation

            Using a Table, an Equation, and a Graph

            Extending a Pattern

            Rewriting a Literal Equation
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

            Rewriting a Literal Equation With Only Variables
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

            Rewriting a Geometric Formula
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

            Rewriting a Formula
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. 

            Comparing Unit Rates
              Curriculum Standards: Use appropriate tools strategically. 

            Graphing a Function Rule
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Graphing a Real-World Function Rule
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Identifying Continuous and Discrete Graphs
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Graphing Nonlinear Function Rules
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Extending Sequences

            Identifying an Arithmetic Sequence

            Writing a Recursive Formula

            Writing an Explicit Formula

            Writing Explicit Formulas From Recursive Formulas

            Writing Recursive Formulas From Explicit Formulas

            Chapter 1 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 2 Math XL: Mid-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Chapter 2 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Chapter 4 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Homework Video Tutor: Evaluating a function rule

            Homework Video Tutor: Solving multi-step equations
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. 

            Homework Video Tutor: Converting rates using unit or dimensional analysis
              Curriculum Standards: Use appropriate tools strategically. 

            Homework Video Tutor: Graphing a function using a table
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Homework Video Tutor: Finding the common difference of an arithmetic sequence

            Chapter 5 Get Ready
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Chapter 5 My Math Video
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

            Rate of Change and Slope

               Student eText Lesson 5-1
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

               9-1 Dynamic Activity: Graphs of Quadratic Functions
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding Rate of Change Using a Table
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

                  Finding Slope Using a Graph
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

                  Finding Slope Using Points
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

                  Finding Slopes of Horizontal and Vertical Lines
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

               Step 3: Lesson Check and Step 4: Practice

                  5-1 Virtual Nerd� Tutorial: What's the Formula for Slope?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

                  5-1 Virtual Nerd� Tutorial: How Do You Find the Slope of a Line from a Graph?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

               5-1 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

               Step 5: Assess and Remediate

                  5-1 Lesson Quiz
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

            Direct Variation

               Student eText Lesson 5-2
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying a Direct Variation
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Writing a Direct Variation Equation
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Graphing a Direct Variation
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Writing a Direct Variation From a Table
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  5-2 Virtual Nerd� Tutorial: What's the Direct Variation or Direct Proportionality Formula?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  5-2 Virtual Nerd� Tutorial: How Do You Use the Formula for Direct Variation?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               5-2 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  5-2 Lesson Quiz
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Slope-Intercept Form

               Student eText Lesson 5-3
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Slope and y-Intercept
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Writing an Equation in Slope-Intercept Form
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Writing an Equation From a Graph
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Writing an Equation From Two Points
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Graphing a Linear Equation
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Modeling a Function
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               Step 3: Lesson Check and Step 4: Practice

                  5-3 Virtual Nerd� Tutorial: What's Slope-Intercept Form of a Linear Equation?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  5-3 Virtual Nerd� Tutorial: How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Graph?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               5-3 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               Step 5: Assess and Remediate

                  5-3 Lesson Quiz
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

            Point-Slope Form

               Student eText Lesson 5-4
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing an Equation in Point-Slope Form
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  Graphing Using Point-Slope Form
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  Using Two Points to Write an Equation
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  Using a Table to Write an Equation
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               Step 3: Lesson Check and Step 4: Practice

                  5-4 Virtual Nerd� Tutorial: What's Point-Slope Form of a Linear Equation?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  5-4 Virtual Nerd� Tutorial: How Do You Write an Equation of a Line in Point-Slope Form If You Have Two Points?
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               5-4 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               Step 5: Assess and Remediate

                  5-4 Lesson Quiz
                    Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            How Tall is Tall?

            Chapter 5 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

            Chapter 5 Mid-Chapter Quiz
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

            Standard Form

               Student eText Lesson 5-5
                 Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding  x- and  y- Intercepts
                  Finding x- and y- Intercepts
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  Graphing a Line Using Intercepts
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  Graphing Horizontal and Vertical Lines
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  Transforming to Standard Form
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  Using Standard Form as a Model
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               Step 3: Lesson Check and Step 4: Practice

                  5-5 Virtual Nerd� Tutorial: What's Standard Form of a Linear Equation?
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

                  5-5 Virtual Nerd� Tutorial: How Do You Use X- and Y-Intercepts To Graph a Line In Standard Form?
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               5-5 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

               Step 5: Assess and Remediate

                  5-5 Lesson Quiz
                    Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Parallel and Perpendicular Lines

               Student eText Lesson 5-6
                 Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing an Equation of a Parallel Line
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

                  Classifying Lines
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

                  Writing an Equation of a Perpendicular Line
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

                  Solving a Real-World Problem
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

                  Writing an Equation of a Parallel Line
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  5-6 Virtual Nerd� Tutorial: How Do You Know if Two Lines are Parallel?
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

                  5-6 Virtual Nerd� Tutorial: How Do You Know if Two Lines Are Perpendicular?
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

               5-6 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  5-6 Lesson Quiz
                    Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

            Scatter Plots and Trend Lines

               Student eText Lesson 5-7
                 Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Making a Scatter Plot and Describing Its Correlation
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

                  Writing an Equation of a Trend Line
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

                  Finding the Line of Best Fit
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

                  Identifying Whether Relationships are Causal
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

               Step 3: Lesson Check and Step 4: Practice

                  5-7 Virtual Nerd� Tutorial: What's a Scatter Plot?
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

                  5-7 Virtual Nerd� Tutorial: How Do You Write and Use a Prediction Equation?'
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

               5-7 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

               Step 5: Assess and Remediate

                  5-7 Lesson Quiz
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

            Graphing Absolute Value Functions

               Student eText Lesson 5-8
                 Curriculum Standards: Graph absolute value linear equations in two variables. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Describing Translations
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

                  Graphing a Vertical Translation
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

                  Graphing a Horizontal Translation
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

                  Graphing a Step Function
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

               Step 3: Lesson Check and Step 4: Practice

                  5-8 Virtual Nerd� Tutorial: What Does the Constant 'k' do in y = /x/+k?
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

               5-8 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph absolute value linear equations in two variables. 

               Step 5: Assess and Remediate

                  5-8 Lesson Quiz
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

            Chapter 5 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

            Chapter 5 Test
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

         Systems of Linear Equations and Inequalities

            Chapter 2 Math XL: Mid-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Solving an Equation With Variables on Both Sides

            Using an Equation With Variables on Both Sides

            Solving an Equation With Grouping Symbols

            Identities and Equations With No Solution

            Using More Than One Step

            Writing and Solving a Multi-step Inequality

            Using the Distributive Property

            Solving an Inequality With Variables on Both Sides

            Inequalities With Special Solutions

            Chapter 3 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Writing a Function Rule

            Writing and Evaluating a Function Rule

            Writing a Nonlinear Function Rule

            Chapter 4 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Identifying Slope and y-Intercept
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

            Graphing a Linear Equation
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

            Modeling a Function
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

            Writing an Equation in Point-Slope Form
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Graphing Using Point-Slope Form
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Chapter 5 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

            Finding  x- and  y- Intercepts
            Finding x- and y- Intercepts
              Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Graphing a Line Using Intercepts
              Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Graphing Horizontal and Vertical Lines
              Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Transforming to Standard Form
              Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Using Standard Form as a Model
              Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Chapter 5 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

            Homework Video Tutor: Solving multi-step equations by combining like terms

            Homework Video Tutor: Using the distributive property with integers

            Homework Video Tutor: Solving equations with variables on both sides

            Homework Video Tutor: Solving two-step inequalities

            Homework Video Tutor: Solving multi-step inequalities using the distributive property

            Homework Video Tutor: Graphing linear equations using point-slope form
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Homework Video Tutor: Graphing a linear equation using slope-intercept form
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

            Homework Video Tutor: Writing a function from words

            Homework Video Tutor: Graphing linear equations using intercepts
              Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

            Homework Video Tutor: Solving multi-step inequalities with variables on both sides

            Chapter 6 Get Ready
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

            Chapter 6 My Math Video
              Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

            Solving Systems by Graphing

               Student eText Lesson 6-1
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               6-1 Dynamic Activity:  Systems of Linear Equations and Inequalities
               6-1 Dynamic Activity: Systems of Linear Equations and Inequalities
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving a System of Equations by Graphing
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Writing a System of Equations
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Systems with Infinitely Many Solutions or No Solution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Systems with Infinitely Many Solutions or No Solution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 3: Lesson Check and Step 4: Practice

                  6-1 Virtual Nerd� Tutorial: How Do You Solve a System of Equations by Graphing?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  6-1 Virtual Nerd� Tutorial: How Do You Show that a System of Equations has No Solution?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               6-1 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 5: Assess and Remediate

                  6-1 Lesson Quiz
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

            Solving Systems Using Substitution

               Student eText Lesson 6-2
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using Substitution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Solving for a Variable and Using Substitution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Using Systems of Equations
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Systems with Infinitely Many Solutions or No Solution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Solving for a Variable and Using Substitution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Systems with Infinitely Many Solutions or No Solution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 3: Lesson Check and Step 4: Practice

                  6-2 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using the Substitution Method?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  6-2 Virtual Nerd� Tutorial: How Do You Solve Two Equations with Two Variables?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               6-2 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 5: Assess and Remediate

                  6-2 Lesson Quiz
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

            Solving Systems Using Elimination

               Student eText Lesson 6-3
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving a System by Adding Equations
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Solving a System by Subtracting Equations
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Solving a System by Multiplying One Equation
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Solving a System by Multiplying Both Equations
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Finding the Number of Solutions
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 3: Lesson Check and Step 4: Practice

                  6-3 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using the Elimination by Addition Method?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  6-3 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using the Elimination by Multiplication Method?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               6-3 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 5: Assess and Remediate

                  6-3 Lesson Quiz
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

            Chapter 6 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

            Chapter 6 Mid-Chapter Quiz
              Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

            Applications of Linear Systems

               Student eText Lesson 6-4
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding a Break-Even Point
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Identifying Constraints and Viable Solutions
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Solving a Wind or Current Problem
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Finding a Break-Even Point
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 3: Lesson Check and Step 4: Practice

                  6-4 Virtual Nerd� Tutorial: How Do You Solve a Word Problem Using Two Equations?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  6-4 Virtual Nerd� Tutorial: How Do You Solve a Word Problem Using the Elimination by Subtraction Method?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               6-4 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

               Step 5: Assess and Remediate

                  6-4 Lesson Quiz
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

            Get Up There!

            Linear Inequalities

               Student eText Lesson 6-5
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Solutions of a Linear Inequality
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  Graphing an Inequality in Two Variables
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  Graphing a Linear Inequality in One Variable
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  Rewriting to Graph an Inequality
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  Writing an Inequality From a Graph
                    Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  6-5 Virtual Nerd� Tutorial: How Do You Graph a Greater Than Inequality on the Coordinate Plane?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  6-5 Virtual Nerd� Tutorial: How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

               6-5 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

               Step 5: Assess and Remediate

                  6-5 Lesson Quiz
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

            Systems of Linear Inequalities

               Student eText Lesson 6-6
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Graphing a System of Inequalities
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  Writing a System of Inequalities From a Graph
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  Using a System of Inequalities
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

                  Using a System of Inequalities
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

               Step 3: Lesson Check and Step 4: Practice

                  6-6 Virtual Nerd� Tutorial: How Do You Solve a System of Inequalities by Graphing?
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

               6-6 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

               Step 5: Assess and Remediate

                  6-6 Lesson Quiz
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

            Chapter 6 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

            Chapter 6 Test
              Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Finding Rate of Change Using a Table
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

         Finding Slope Using a Graph
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

         Finding Slope Using Points
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

         Finding Slopes of Horizontal and Vertical Lines
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

         5-1 Virtual Nerd� Tutorial: What's the Formula for Slope?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

         5-1 Virtual Nerd� Tutorial: How Do You Find the Slope of a Line from a Graph?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. 

         Identifying a Direct Variation
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Solving a System by Multiplying One Equation
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Solving a System by Multiplying Both Equations
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Finding the Number of Solutions
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         6-3 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using the Elimination by Addition Method?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         6-3 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using the Elimination by Multiplication Method?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Finding a Break-Even Point
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Identifying Constraints and Viable Solutions
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Solving a Wind or Current Problem
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Solving a System by Subtracting Equations
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Finding a Break-Even Point
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Writing a Direct Variation Equation
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Graphing a Direct Variation
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         6-4 Virtual Nerd� Tutorial: How Do You Solve a Word Problem Using Two Equations?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         6-4 Virtual Nerd� Tutorial: How Do You Solve a Word Problem Using the Elimination by Subtraction Method?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Identifying Solutions of a Linear Inequality
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Graphing an Inequality in Two Variables
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Writing a Direct Variation From a Table
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         5-2 Virtual Nerd� Tutorial: What's the Direct Variation or Direct Proportionality Formula?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         5-2 Virtual Nerd� Tutorial: How Do You Use the Formula for Direct Variation?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Identifying Slope and y-Intercept
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         Graphing a Linear Inequality in One Variable
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Rewriting to Graph an Inequality
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Writing an Inequality From a Graph
           Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. 

         6-5 Virtual Nerd� Tutorial: How Do You Graph a Greater Than Inequality on the Coordinate Plane?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         6-5 Virtual Nerd� Tutorial: How Do You Determine if an Ordered Pair is a Solution to a Linear Inequality?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Writing an Equation in Slope-Intercept Form
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         Writing an Equation From a Graph
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         Writing an Equation From Two Points
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         Graphing a Linear Equation
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         Modeling a Function
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         Graphing a System of Inequalities
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Writing a System of Inequalities From a Graph
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Using a System of Inequalities
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Using a System of Inequalities
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         5-3 Virtual Nerd� Tutorial: What's Slope-Intercept Form of a Linear Equation?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         5-3 Virtual Nerd� Tutorial: How Do You Write the Equation of a Line in Slope-Intercept Form If You Have a Graph?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

         Writing an Equation in Point-Slope Form
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Graphing Using Point-Slope Form
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         6-6 Virtual Nerd� Tutorial: How Do You Solve a System of Inequalities by Graphing?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Using Two Points to Write an Equation
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Using a Table to Write an Equation
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         5-4 Virtual Nerd� Tutorial: What's Point-Slope Form of a Linear Equation?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         5-4 Virtual Nerd� Tutorial: How Do You Write an Equation of a Line in Point-Slope Form If You Have Two Points?
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Finding  x- and  y- Intercepts
         Finding x- and y- Intercepts
           Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Graphing a Line Using Intercepts
           Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Graphing Horizontal and Vertical Lines
           Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Transforming to Standard Form
           Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Using Standard Form as a Model
           Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         5-5 Virtual Nerd� Tutorial: What's Standard Form of a Linear Equation?
           Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         5-5 Virtual Nerd� Tutorial: How Do You Use X- and Y-Intercepts To Graph a Line In Standard Form?
           Curriculum Standards: Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. 

         Writing an Equation of a Parallel Line
           Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

         Classifying Lines
           Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

         Writing an Equation of a Perpendicular Line
           Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

         Solving a Real-World Problem
           Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

         5-6 Virtual Nerd� Tutorial: How Do You Know if Two Lines are Parallel?
           Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

         5-6 Virtual Nerd� Tutorial: How Do You Know if Two Lines Are Perpendicular?
           Curriculum Standards: Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Look for and make use of structure. 

         Making a Scatter Plot and Describing Its Correlation
           Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

         Writing an Equation of a Trend Line
           Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

         Finding the Line of Best Fit
           Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

         Identifying Whether Relationships are Causal
           Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

         5-7 Virtual Nerd� Tutorial: What's a Scatter Plot?
           Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

         5-7 Virtual Nerd� Tutorial: How Do You Write and Use a Prediction Equation?'
           Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

         Describing Translations
           Curriculum Standards: Graph absolute value linear equations in two variables. 

         Graphing a Vertical Translation
           Curriculum Standards: Graph absolute value linear equations in two variables. 

         Graphing a Horizontal Translation
           Curriculum Standards: Graph absolute value linear equations in two variables. 

         Graphing a Step Function
           Curriculum Standards: Graph absolute value linear equations in two variables. 

         5-8 Virtual Nerd� Tutorial: What Does the Constant 'k' do in y = /x/+k?
           Curriculum Standards: Graph absolute value linear equations in two variables. 

         Solving a System of Equations by Graphing
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Writing a System of Equations
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Systems with Infinitely Many Solutions or No Solution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Systems with Infinitely Many Solutions or No Solution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         6-1 Virtual Nerd� Tutorial: How Do You Solve a System of Equations by Graphing?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         6-1 Virtual Nerd� Tutorial: How Do You Show that a System of Equations has No Solution?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Using Substitution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Solving for a Variable and Using Substitution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Using Systems of Equations
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Systems with Infinitely Many Solutions or No Solution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Solving for a Variable and Using Substitution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Systems with Infinitely Many Solutions or No Solution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         6-2 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using the Substitution Method?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         6-2 Virtual Nerd� Tutorial: How Do You Solve Two Equations with Two Variables?
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Solving a System by Adding Equations
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Benchmark Test 3
           Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. 

         Exponents and Exponential Functions

            Chapter 1 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Chapter 2 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Chapter 4 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Evaluating a Real-World Expression
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Evaluating Algebraic Expressions
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Finding a Percent Decrease

            Finding a Percent Increase

            Finding Percent Error

            Finding the Greatest Possible Percent Error

            Finding the Range of a Function
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Identifying a Reasonable Domain and Range
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Simplifying a Numerical Expression
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Simplifying Powers
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Writing a fraction as a repeating decimal

            Homework Video Tutor: Using the order of operations with exponents
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Evaluating algebraic expressions with more than one variable
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Finding the percent of a number

            Homework Video Tutor: Determining a reasonable domain and range for a situation
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Chapter 7 Get Ready
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. 

            Chapter 7 My Math Video
              Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

            Zero and Negative Exponents

               Student eText Lesson 7-1
                 Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               7-1 Dynamic Activity: Comparing Linear and Exponential Functions
                 Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Simplifying Powers
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

                  Simplifying Exponential Expressions
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Evaluating an Exponential Expression
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Using an Exponential Expression
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  7-1 Virtual Nerd� Tutorial: What Do You Do With a Zero Exponent?
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  7-1 Virtual Nerd� Tutorial: What Do You Do With a Negative Exponent?
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               7-1 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  7-1 Lesson Quiz
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Multiplying Powers With the Same Base

               Student eText Lesson 7-2
                 Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Multiplying Powers
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Multiplying Powers in Algebraic Expressions
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Multiplying With Scientific Notation
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Simplifying Expressions With Rational Exponents
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Simplifying Expressions With Rational Exponents
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Simplifying Expressions With Rational Exponents
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Multiplying Powers in Algebraic Expressions
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  7-2 Virtual Nerd� Tutorial: What's the Product of Powers Rule?
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  7-2 Virtual Nerd� Tutorial: How Do You Find the Product of Powers with Variables?
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               7-2 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  7-2 Lesson Quiz
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            More Multiplication Properties of Exponents

               Student eText Lesson 7-3
                 Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Simplifying a Power Raised to a Power
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Simplifying an Expression With Powers
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Simplifying a Product Raised to a Power
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Simplifying an Expression With Products
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Raising a Number in Scientific Notation to a Power
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Simplifying an Expression with Products
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               Step 3: Lesson Check and Step 4: Practice

                  7-3 Virtual Nerd� Tutorial: What's the Power of a Power Rule?
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  7-3 Virtual Nerd� Tutorial: What's the Power of a Product Rule?
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               7-3 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               Step 5: Assess and Remediate

                  7-3 Lesson Quiz
                    Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Division Properties of Exponents

               Student eText Lesson 7-4
                 Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Dividing Algebraic Expressions
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Dividing Numbers in Scientific Notation
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Raising a Quotient to a Power
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Simplifying an Exponential Expression
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  Simplifying an Exponential Expression
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               Step 3: Lesson Check and Step 4: Practice

                  7-4 Virtual Nerd� Tutorial: What's the Quotient of Powers Rule?
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

                  7-4 Virtual Nerd� Tutorial: What's the Power of a Quotient Rule?
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               7-4 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

               Step 5: Assess and Remediate

                  7-4 Lesson Quiz
                    Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Chapter 7 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

            Chapter 7 Mid-Chapter Quiz
              Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

            Rational Exponents and Radicals

               Student eText Lesson 7-5
                 Curriculum Standards: Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding Roots
                    Curriculum Standards: Attend to precision. 

                  Converting to Radical Form
                    Curriculum Standards: Attend to precision. 

                  Converting to Exponential Form
                    Curriculum Standards: Attend to precision. 

                  Using a Radical Expression
                    Curriculum Standards: Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  7-5 Virtual Nerd� Tutorial: What are Rational Exponents?
                    Curriculum Standards: Attend to precision. 

               7-5 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Attend to precision. 

               Step 5: Assess and Remediate

                  7-5 Lesson Quiz
                    Curriculum Standards: Attend to precision. 

            Exponential Functions

               Student eText Lesson 7-6
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Linear and Exponential Functions
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

                  Evaluating an Exponential Function
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

                  Graphing an Exponential Function
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

                  Graphing an Exponential Model
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

                  Solving One-Variable Equations
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

               Step 3: Lesson Check and Step 4: Practice

                  7-6 Virtual Nerd� Tutorial: What's an Exponential Function?
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

                  7-6 Virtual Nerd� Tutorial: How Do You Graph an Exponential Function Using a Table?
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

               7-6 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

               Step 5: Assess and Remediate

                  7-6 Lesson Quiz
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

            Exponential Growth and Decay

               Student eText Lesson 7-7
                 Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Modeling Exponential Growth
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

                  Compound Interest
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

                  Modeling Exponential Decay
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  7-7 Virtual Nerd� Tutorial: What is Exponential Growth?
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

                  7-7 Virtual Nerd� Tutorial: What is Exponential Decay?
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

               7-7 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  7-7 Lesson Quiz
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

            Big Time Payback

            Geometric Sequence

               Student eText Lesson 7-8
                 Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Geometric Sequences
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

                  Finding Recursive and Explicit Formulas
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

                  Using Sequences
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

                  Writing Geometric Sequences as Functions
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  7-8 Virtual Nerd� Tutorial: How Do You Write a Rule for a Geometric Sequence?
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

               7-8 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

               Step 5: Assess and Remediate

                  7-8 Lesson Quiz
                    Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

            Chapter 7 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

            Chapter 7 Test
              Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

         Polynomials and Factoring

            Chapter 1 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Simplifying Expressions

            Rewriting Fraction Expressions

            Using the Multiplication Property of -1

            Using the Distributive Property for Mental Math

            Combining Like Terms

            Multiplying Powers
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Multiplying With Scientific Notation
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Simplifying Expressions With Rational Exponents
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Simplifying Expressions With Rational Exponents
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Simplifying Expressions With Rational Exponents
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Simplifying a Power Raised to a Power
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Simplifying an Expression With Powers
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Simplifying a Product Raised to a Power
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Raising a Number in Scientific Notation to a Power
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Dividing Algebraic Expressions
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Dividing Numbers in Scientific Notation
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Raising a Quotient to a Power
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Chapter 7 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

            Multiplying Powers in Algebraic Expressions
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Simplifying an Expression With Products
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Simplifying an Exponential Expression
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Homework Video Tutor: Finding factors

            Homework Video Tutor: Solving multi-step equations by combining like terms

            Homework Video Tutor: Using the distributive property with integers

            Homework Video Tutor: Evaluating algebraic expressions with exponents
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            Homework Video Tutor: Dividing algebraic expressions containing exponents
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Chapter 8 Get Ready
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. 

            Chapter 8 My Math Video
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Look for and express regularity in repeated reasoning. 

            Adding and Subtracting Polynomials

               Student eText Lesson 8-1
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding the Degree of a Monomial
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Adding and Subtracting Monomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Classifying Polynomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Adding Polynomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Subtracting Polynomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Classifying Polynomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               Step 3: Lesson Check and Step 4: Practice

                  8-1 Virtual Nerd� Tutorial: How Do You Add Polynomials?
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  8-1 Virtual Nerd� Tutorial: How Do You Subtract Polynomials?
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               8-1 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               Step 5: Assess and Remediate

                  8-1 Lesson Quiz
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

            Multiplying and Factoring

               Student eText Lesson 8-2
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Multiplying a Monomial and a Trinomial
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Finding the Greatest Common Factor
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Factoring Out a Monomial
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  Factoring a Polynomial Model
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               Step 3: Lesson Check and Step 4: Practice

                  8-2 Virtual Nerd� Tutorial: How Do You Multiply a Monomial by a Polynomial?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

                  8-2 Virtual Nerd� Tutorial: How Do You Factor the Greatest Common Factor out of a Polynomial?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               8-2 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

               Step 5: Assess and Remediate

                  8-2 Lesson Quiz
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

            Multiplying Binomials

               Student eText Lesson 8-3
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  8-3 Solve It!
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using the Distributive Property

                  Using a Table
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  Using FOIL
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  Applying Multiplication of Binomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  Multiplying a Trinomial and a Binomial
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  8-3 Virtual Nerd� Tutorial: How Do You Multiply Binomials Using FOIL?
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  8-3 Virtual Nerd� Tutorial: What's the Grid Method of FOILing?
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               8-3 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  8-3 Lesson Quiz
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

            Multiplying Special Cases

               Student eText Lesson 8-4
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Squaring a Binomial
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  Applying Squares of Binomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  Using Mental Math
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  Finding the Product of a Sum and Difference
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  Using Mental Math
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  8-4 Virtual Nerd� Tutorial: What's the Formula for the Square of a Sum?
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

                  8-4 Virtual Nerd� Tutorial: How Do You Use the Formula for the Product of a Sum and a Difference?
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               8-4 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  8-4 Lesson Quiz
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

            Chapter 8 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Look for and express regularity in repeated reasoning. 

            Chapter 8 Mid-Chapter Quiz
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Look for and express regularity in repeated reasoning. 

            Factoring x squared + bx + c

               Student eText Lesson 8-5
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Factoring x squared + bx + c Where b > 0 and c > 0
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring x squared + bx + c Where b is < 0 and c is > 0
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring x squared + bx + c Where c < 0
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Applying Factoring Trinomials
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring a Trinomial With Two Variables
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 3: Lesson Check and Step 4: Practice

                  8-5 Virtual Nerd� Tutorial: How Do You Factor a Trinomial?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  8-5 Virtual Nerd� Tutorial: How Do You Figure Out a Template for Factoring a Trinomial?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               8-5 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 5: Assess and Remediate

                  8-5 Lesson Quiz
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring ax squared + bx + c

               Student eText Lesson 8-6
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Factoring When ac Is Positive
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring When ac Is Negative
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Applying Trinomial Factoring
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring Out a Monomial First
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring When ac is Positive
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 3: Lesson Check and Step 4: Practice

                  8-6 Virtual Nerd� Tutorial: How Do You Factor a Polynomial Using the A-C Method?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  8-6 Virtual Nerd� Tutorial: How Do You Factor a Polynomial by Guessing and Checking?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               8-6 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 5: Assess and Remediate

                  8-6 Lesson Quiz
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Who's Right?

            Factoring Special Cases

               Student eText Lesson 8-7
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Factoring a Perfect-Square Trinomial
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring to Find a Length
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring a Difference of Two Squares
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring a Difference of Two Squares
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring Out a Common Factor
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 3: Lesson Check and Step 4: Practice

                  8-7 Virtual Nerd� Tutorial: How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  8-7 Virtual Nerd� Tutorial: How Do You Factor a Polynomial Using Difference of Squares?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               8-7 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 5: Assess and Remediate

                  8-7 Lesson Quiz
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring by Grouping

               Student eText Lesson 8-8
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Factoring a Cubic Polynomial
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring a Polynomial Completely
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Finding the Dimensions of a Rectangular Prism
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  Factoring a Polynomial Completely
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 3: Lesson Check and Step 4: Practice

                  8-8 Virtual Nerd� Tutorial: How Do You Factor a Polynomial by Grouping?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

                  8-8 Virtual Nerd� Tutorial: How Do You Figure Out What Factoring Strategy to Use?
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               8-8 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

               Step 5: Assess and Remediate

                  8-8 Lesson Quiz
                    Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Chapter 8 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Look for and express regularity in repeated reasoning. 

            Chapter 8 Test
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Look for and express regularity in repeated reasoning. 

         Simplifying Powers
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

         Simplifying Exponential Expressions
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Evaluating an Exponential Expression
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Using an Exponential Expression
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         7-1 Virtual Nerd� Tutorial: What Do You Do With a Zero Exponent?
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         7-1 Virtual Nerd� Tutorial: What Do You Do With a Negative Exponent?
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Multiplying Powers
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Classifying Polynomials
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         8-1 Virtual Nerd� Tutorial: How Do You Add Polynomials?
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         8-1 Virtual Nerd� Tutorial: How Do You Subtract Polynomials?
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Multiplying a Monomial and a Trinomial
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Finding the Greatest Common Factor
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Factoring Out a Monomial
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Factoring a Polynomial Model
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         8-2 Virtual Nerd� Tutorial: How Do You Multiply a Monomial by a Polynomial?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         7-7 Virtual Nerd� Tutorial: What is Exponential Decay?
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

         8-2 Virtual Nerd� Tutorial: How Do You Factor the Greatest Common Factor out of a Polynomial?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Using the Distributive Property

         Using a Table
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Using FOIL
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Applying Multiplication of Binomials
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Multiplying a Trinomial and a Binomial
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         8-3 Virtual Nerd� Tutorial: How Do You Multiply Binomials Using FOIL?
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         8-3 Virtual Nerd� Tutorial: What's the Grid Method of FOILing?
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Squaring a Binomial
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Applying Squares of Binomials
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Using Mental Math
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Identifying Geometric Sequences
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

         Finding Recursive and Explicit Formulas
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

         Using Sequences
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

         Writing Geometric Sequences as Functions
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

         7-8 Virtual Nerd� Tutorial: How Do You Write a Rule for a Geometric Sequence?
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Graph exponential and quadratic equations in two variables with and without technology. Attend to precision. 

         Finding the Degree of a Monomial
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Adding and Subtracting Monomials
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Classifying Polynomials
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Adding Polynomials
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Subtracting Polynomials
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. 

         Finding the Product of a Sum and Difference
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Using Mental Math
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         8-4 Virtual Nerd� Tutorial: What's the Formula for the Square of a Sum?
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         8-4 Virtual Nerd� Tutorial: How Do You Use the Formula for the Product of a Sum and a Difference?
           Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

         Factoring x squared + bx + c Where b > 0 and c > 0
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring x squared + bx + c Where b is < 0 and c is > 0
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring x squared + bx + c Where c < 0
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Applying Factoring Trinomials
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring a Trinomial With Two Variables
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         8-5 Virtual Nerd� Tutorial: How Do You Factor a Trinomial?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         8-5 Virtual Nerd� Tutorial: How Do You Figure Out a Template for Factoring a Trinomial?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring When ac Is Positive
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring When ac Is Negative
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Applying Trinomial Factoring
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring Out a Monomial First
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring When ac is Positive
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         8-6 Virtual Nerd� Tutorial: How Do You Factor a Polynomial Using the A-C Method?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         8-6 Virtual Nerd� Tutorial: How Do You Factor a Polynomial by Guessing and Checking?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring a Perfect-Square Trinomial
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring to Find a Length
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Multiplying Powers in Algebraic Expressions
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Multiplying With Scientific Notation
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Simplifying Expressions With Rational Exponents
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Simplifying Expressions With Rational Exponents
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Simplifying Expressions With Rational Exponents
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Factoring a Difference of Two Squares
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring a Difference of Two Squares
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring Out a Common Factor
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         8-7 Virtual Nerd� Tutorial: How Do You Use a Shortcut to Factor a Perfect Square Trinomial?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         8-7 Virtual Nerd� Tutorial: How Do You Factor a Polynomial Using Difference of Squares?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Multiplying Powers in Algebraic Expressions
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         7-2 Virtual Nerd� Tutorial: What's the Product of Powers Rule?
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         7-2 Virtual Nerd� Tutorial: How Do You Find the Product of Powers with Variables?
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Simplifying a Power Raised to a Power
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Factoring a Cubic Polynomial
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring a Polynomial Completely
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Finding the Dimensions of a Rectangular Prism
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Factoring a Polynomial Completely
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Simplifying an Expression With Powers
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Simplifying a Product Raised to a Power
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Simplifying an Expression With Products
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Raising a Number in Scientific Notation to a Power
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Simplifying an Expression with Products
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         8-8 Virtual Nerd� Tutorial: How Do You Factor a Polynomial by Grouping?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         8-8 Virtual Nerd� Tutorial: How Do You Figure Out What Factoring Strategy to Use?
           Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         7-3 Virtual Nerd� Tutorial: What's the Power of a Power Rule?
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         7-3 Virtual Nerd� Tutorial: What's the Power of a Product Rule?
           Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Dividing Algebraic Expressions
           Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Dividing Numbers in Scientific Notation
           Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Raising a Quotient to a Power
           Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Simplifying an Exponential Expression
           Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Simplifying an Exponential Expression
           Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         7-4 Virtual Nerd� Tutorial: What's the Quotient of Powers Rule?
           Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         7-4 Virtual Nerd� Tutorial: What's the Power of a Quotient Rule?
           Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

         Finding Roots
           Curriculum Standards: Attend to precision. 

         Converting to Radical Form
           Curriculum Standards: Attend to precision. 

         Converting to Exponential Form
           Curriculum Standards: Attend to precision. 

         Using a Radical Expression
           Curriculum Standards: Attend to precision. 

         7-5 Virtual Nerd� Tutorial: What are Rational Exponents?
           Curriculum Standards: Attend to precision. 

         Identifying Linear and Exponential Functions
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

         Evaluating an Exponential Function
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

         Graphing an Exponential Function
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

         Graphing an Exponential Model
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

         Solving One-Variable Equations
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

         7-6 Virtual Nerd� Tutorial: What's an Exponential Function?
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

         7-6 Virtual Nerd� Tutorial: How Do You Graph an Exponential Function Using a Table?
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. 

         Modeling Exponential Growth
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

         Compound Interest
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

         Modeling Exponential Decay
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

         7-7 Virtual Nerd� Tutorial: What is Exponential Growth?
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

         Benchmark Test 4
           Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

         Quadratic Functions and Equations

            Chapter 1 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Evaluating Algebraic Expressions
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Evaluating a Real-World Expression
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Simplifying Powers
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Simplifying a Numerical Expression
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Graphing a Function Rule
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Graphing a Real-World Function Rule
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Identifying Continuous and Discrete Graphs
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Graphing Nonlinear Function Rules
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Evaluating a Function
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Finding the Range of a Function
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Identifying a Reasonable Domain and Range
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Chapter 4 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Attend to precision. 

            Factoring x squared + bx + c Where b > 0 and c > 0
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring x squared + bx + c Where b is < 0 and c is > 0
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring x squared + bx + c Where c < 0
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Applying Factoring Trinomials
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring a Trinomial With Two Variables
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring When ac Is Positive
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring When ac Is Negative
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Applying Trinomial Factoring
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Factoring Out a Monomial First
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Chapter 8 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Evaluating algebraic expressions with more than one variable
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Graphing a function using a table
              Curriculum Standards: Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Homework Video Tutor: Evaluating algebraic expressions with more than one variable
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Solving quadratic equations by factoring
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Chapter 9 Get Ready
              Curriculum Standards: Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Chapter 9 My Math Video
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

            Quadratic Graphs and Their Properties

               Student eText Lesson 9-1
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

               9-1 Dynamic Activity: Graphs of Quadratic Functions
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying a Vertex
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

                  Graphing y = ax squared
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

                  Comparing Widths of Parabolas
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

                  Graphing y = ax squared + c
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

                  Using the Falling Object Model
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  9-1 Virtual Nerd� Tutorial: What is a Quadratic Function?
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

                  9-1 Virtual Nerd� Tutorial: How Do You Graph the Parent Quadratic Function y=x2?
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

               9-1 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

               Step 5: Assess and Remediate

                  9-1 Lesson Quiz
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

            Quadratic Functions

               Student eText Lesson 9-2
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Graphing y = ax squared + bx + c
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  Using the Vertical Motion Model
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  9-2 Virtual Nerd� Tutorial: How Do You Graph a Quadratic Function?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

                  9-2 Virtual Nerd� Tutorial: How Do You Find the Axis of Symmetry for a Quadratic Function?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               9-2 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  9-2 Lesson Quiz
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

            The Long Shot

            Solving Quadratic Equations

               Student eText Lesson 9-3
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving by Graphing
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Solving Using Square Roots
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Choosing a Reasonable Solution
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  9-3 Virtual Nerd� Tutorial: How Do You Solve a Quadratic Equation with Two Solutions by Graphing?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

                  9-3 Virtual Nerd� Tutorial: How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

               9-3 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  9-3 Lesson Quiz
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

            Factoring to Solve Quadratic Equations

               Student eText Lesson 9-4
                 Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using the Zero-Product Property
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

                  Solving by Factoring
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

                  Writing in Standard Form First
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

                  Using Factoring to Solve a Real-World Problem
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

               Step 3: Lesson Check and Step 4: Practice

                  9-4 Virtual Nerd� Tutorial: How Do You Solve a Quadratic Equation by Factoring?
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

                  9-4 Virtual Nerd� Tutorial: What's the Zero Product Property?
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

               9-4 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

               Step 5: Assess and Remediate

                  9-4 Lesson Quiz
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

            Chapter 9 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

            Chapter 9 Mid-Chapter Quiz
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

            Completing the Square

               Student eText Lesson 9-5
                 Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding c to Complete the Square
                    Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

                  Solving x squared + bx + c = 0
                    Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

                  Finding the Vertex by Completing the Square
                    Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

                  Completing the Square When  a  is Not Equal to 1
                  Completing the Square When a is Not Equal to 1
                    Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

               Step 3: Lesson Check and Step 4: Practice

                  9-5 Virtual Nerd� Tutorial: How Do You Solve a Quadratic Equation by Completing the Square?
                    Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

               9-5 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

               Step 5: Assess and Remediate

                  9-5 Lesson Quiz
                    Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

            The Quadratic Formula and the Discriminant

               Student eText Lesson 9-6
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using the Quadratic Formula
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

                  Finding Approximate Solutions
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

                  Choosing an Appropriate Method
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

                  Using the Discriminant
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

               Step 3: Lesson Check and Step 4: Practice

                  9-6 Virtual Nerd� Tutorial: What is the Quadratic Formula?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

                  9-6 Virtual Nerd� Tutorial: What is the Discriminant?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

               9-6 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

               Step 5: Assess and Remediate

                  9-6 Lesson Quiz
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

            Linear, Quadratic, and Exponential Models

               Student eText Lesson 9-7
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Choosing a Model by Graphing
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

                  Choosing a Model Using Differences or Ratios
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

                  Modeling Real-World Data
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

               Step 3: Lesson Check and Step 4: Practice

                  9-7 Virtual Nerd� Tutorial: How Do You Determine if a Graph Represents a Linear, Exponential, or Quadratic Function?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

               9-7 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

               Step 5: Assess and Remediate

                  9-7 Lesson Quiz
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

            Systems of Linear and Quadratic Equations

               Student eText Lesson 9-8
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving by Graphing
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Using Elimination
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

                  Using Substitution
                    Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

                  Solving With a Graphing Calculator
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

               Step 3: Lesson Check and Step 4: Practice

                  9-8 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using Substitution if One Equation is a Quadratic?
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

               9-8 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

               Step 5: Assess and Remediate

                  9-8 Lesson Quiz
                    Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

            Chapter 9 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

            Chapter 9 Test
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

         Radical Expressions and Equations

            Chapter 1 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Estimating a Square Root
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Comparing Real Numbers
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Graphing and Ordering Real Numbers
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Chapter 2 Math XL: End-of-Chapter Practice and Review
              Curriculum Standards: Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Look for and express regularity in repeated reasoning. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            Solving a Proportion Using the Multiplication Property
              Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

            Solving a Proportion Using the Cross Products Property
              Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

            Solving a Multi-Step Proportion
              Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

            Using a Proportion to Solve a Problem
              Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

            Using the Distributive Property

            Using a Table
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

            Using FOIL
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

            Applying Multiplication of Binomials
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

            Chapter 8 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Look for and express regularity in repeated reasoning. 

            Identifying a Vertex
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

            Graphing y = ax squared
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

            Comparing Widths of Parabolas
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

            Graphing y = ax squared + c
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

            Using the Falling Object Model
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

            Chapter 9 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

            Using the Quadratic Formula
              Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

            Finding Approximate Solutions
              Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

            Choosing an Appropriate Method
              Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

            Using the Discriminant
              Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

            Chapter 9 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Solving proportions using cross products
              Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Estimating square roots
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Homework Video Tutor: Multiplying two binomials using FOIL
              Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Graphing a quadratic function, y = ax^2 + bx + c
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

            Homework Video Tutor: Using the discriminant to find the number of solutions and solve problems
              Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

            Homework Video Tutor: Solving quadratic equations using the quadratic formula
              Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

            Chapter 10 Get Ready
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Look for and express regularity in repeated reasoning. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

            Chapter 10 My Math Video
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Use appropriate tools strategically. 

            The Pythagorean Theorem

               Student eText Lesson 10-1

               10-1 Dynamic Activity: Graphs of Radical Functions

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding the Length of a Hypotenuse

                  Finding the Length of a Leg

                  Identifying Right Triangles

               Step 3: Lesson Check and Step 4: Practice

                  10-1 Virtual Nerd� Tutorial: What is the Pythagorean Theorem?

                  10-1 Virtual Nerd� Tutorial: What is the Converse of the Pythagorean Theorem?

               10-1 Student eText: Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  10-1 Lesson Quiz

            Safe or Out?

            Simplifying Radicals

               Student eText Lesson 10-2

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Removing Perfect-Square Factors

                  Removing Variable Factors

                  Multiplying Two Radical Expressions

                  Writing a Radical Expression

                  Simplifying Fractions Within Radicals

                  Rationalizing Denominators

               Step 3: Lesson Check and Step 4: Practice

                  10-2 Virtual Nerd� Tutorial: How Do You Simplify a Radical Using the Product Property?

                  10-2 Virtual Nerd� Tutorial: How Do You Multiply Two Radicals?

               10-2 Student eText: Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  10-2 Lesson Quiz

            Operations With Radical Expressions

               Student eText Lesson 10-3

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Combining Like Radicals

                  Simplifying to Combine Like Radicals

                  Multiplying Radical Expressions

                  Rationalizing a Denominator Using Conjugates

                  Solving a Proportion Involving Radicals

               Step 3: Lesson Check and Step 4: Practice

                  10-3 Virtual Nerd� Tutorial: How Do You Add Radicals with Like Radicands?

               10-3 Student eText: Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  10-3 Lesson Quiz

            Chapter 10 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Use appropriate tools strategically. 

            Chapter 10 Mid-Chapter Quiz
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Use appropriate tools strategically. 

            Solving Radical Equations

               Student eText Lesson 10-4

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving by Isolating the Radical

                  Using a Radical Equation

                  Solving With Radical Expressions on Both Sides

                  Identifying Extraneous Solutions

               10-4 Student eText: Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  10-4 Lesson Quiz

               Step 3: Lesson Check and Step 4: Practice

                  10-4 Virtual Nerd� Tutorial: How Do You Solve a Radical Equation?

            Graphing Square Root Functions

               Student eText Lesson 10-5
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding the Domain of a Square Root Function
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

                  Graphing a Square Root Function
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

                  Graphing a Vertical Translation
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

                  Graphing a Horizontal Translation
                    Curriculum Standards: Graph absolute value linear equations in two variables. 

               Step 3: Lesson Check and Step 4: Practice

                  10-5 Virtual Nerd� Tutorial: What Does the Constant 'k' Do in the Function f(x)= (x)+k?
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

               10-5 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

               Step 5: Assess and Remediate

                  10-5 Lesson Quiz
                    Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

            Trigonometric Ratios

               Student eText Lesson 10-6
                 Curriculum Standards: Use appropriate tools strategically. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding Trigonometric Ratios
                    Curriculum Standards: Use appropriate tools strategically. 

                  Finding a Trigonometric Ratio
                    Curriculum Standards: Use appropriate tools strategically. 

                  Finding a Missing Side Length
                    Curriculum Standards: Use appropriate tools strategically. 

                  Finding the Measures of Angles
                    Curriculum Standards: Use appropriate tools strategically. 

                  Using an Angle of Elevation or Depression
                    Curriculum Standards: Use appropriate tools strategically. 

               Step 3: Lesson Check and Step 4: Practice

                  10-6 Virtual Nerd� Tutorial: How Do You Find the Sine of an Angle in a Right Triangle?
                    Curriculum Standards: Use appropriate tools strategically. 

               10-6 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Use appropriate tools strategically. 

               Step 5: Assess and Remediate

                  10-6 Lesson Quiz
                    Curriculum Standards: Use appropriate tools strategically. 

            Chapter 10 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Use appropriate tools strategically. 

            Chapter 10 Test
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Use appropriate tools strategically. 

         Identifying a Vertex
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

         Graphing y = ax squared
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

         Comparing Widths of Parabolas
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

         Graphing y = ax squared + c
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

         Using the Falling Object Model
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

         9-1 Virtual Nerd� Tutorial: What is a Quadratic Function?
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

         9-1 Virtual Nerd� Tutorial: How Do You Graph the Parent Quadratic Function y=x2?
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. 

         Removing Perfect-Square Factors

         Removing Variable Factors

         Multiplying Two Radical Expressions

         Writing a Radical Expression

         Simplifying Fractions Within Radicals

         Rationalizing Denominators

         10-2 Virtual Nerd� Tutorial: How Do You Simplify a Radical Using the Product Property?

         10-2 Virtual Nerd� Tutorial: How Do You Multiply Two Radicals?

         Combining Like Radicals

         Simplifying to Combine Like Radicals

         Multiplying Radical Expressions

         Rationalizing a Denominator Using Conjugates

         Solving a Proportion Involving Radicals

         10-3 Virtual Nerd� Tutorial: How Do You Add Radicals with Like Radicands?

         Solving by Isolating the Radical

         Using a Radical Equation

         Solving With Radical Expressions on Both Sides

         Identifying Extraneous Solutions

         10-4 Virtual Nerd� Tutorial: How Do You Solve a Radical Equation?

         10-5 Virtual Nerd� Tutorial: What Does the Constant 'k' Do in the Function f(x)= (x)+k?
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. 

         10-6 Virtual Nerd� Tutorial: How Do You Find the Sine of an Angle in a Right Triangle?
           Curriculum Standards: Use appropriate tools strategically. 

         Graphing y = ax squared + bx + c
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Using the Vertical Motion Model
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         9-2 Virtual Nerd� Tutorial: How Do You Graph a Quadratic Function?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         9-2 Virtual Nerd� Tutorial: How Do You Find the Axis of Symmetry for a Quadratic Function?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. 

         Solving by Graphing
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

         Solving Using Square Roots
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

         Choosing a Reasonable Solution
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

         9-3 Virtual Nerd� Tutorial: How Do You Solve a Quadratic Equation with Two Solutions by Graphing?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

         9-3 Virtual Nerd� Tutorial: How Do You Use the Square Root Method to Solve a Quadratic Equation with Two Solutions?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

         Using the Zero-Product Property
           Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

         Solving by Factoring
           Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

         Writing in Standard Form First
           Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

         Using Factoring to Solve a Real-World Problem
           Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

         9-4 Virtual Nerd� Tutorial: How Do You Solve a Quadratic Equation by Factoring?
           Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

         9-4 Virtual Nerd� Tutorial: What's the Zero Product Property?
           Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

         Finding c to Complete the Square
           Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

         Solving x squared + bx + c = 0
           Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

         Finding the Vertex by Completing the Square
           Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

         Completing the Square When  a  is Not Equal to 1
         Completing the Square When a is Not Equal to 1
           Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

         9-5 Virtual Nerd� Tutorial: How Do You Solve a Quadratic Equation by Completing the Square?
           Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

         9-5 Virtual Nerd� Tutorial: How Do You Solve a Quadratic Equation by Completing the Square when 'a' Does Not Equal 1?
           Curriculum Standards: Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. 

         Using the Quadratic Formula
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

         Finding Approximate Solutions
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

         Choosing an Appropriate Method
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

         Using the Discriminant
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

         9-6 Virtual Nerd� Tutorial: What is the Quadratic Formula?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

         9-6 Virtual Nerd� Tutorial: What is the Discriminant?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Look for and express regularity in repeated reasoning. 

         Choosing a Model by Graphing
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

         Choosing a Model Using Differences or Ratios
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

         Modeling Data
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

         Modeling Real-World Data
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

         9-7 Virtual Nerd� Tutorial: How Do You Determine if a Graph Represents a Linear, Exponential, or Quadratic Function?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. 

         Solving by Graphing
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Reason abstractly and quantitatively. Look for and make use of structure. 

         Using Elimination
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

         Using Substitution
           Curriculum Standards: Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. 

         Solving With a Graphing Calculator
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

         9-8 Virtual Nerd� Tutorial: How Do You Solve a System of Equations Using Substitution if One Equation is a Quadratic?
           Curriculum Standards: Graph exponential and quadratic equations in two variables with and without technology. 

         Finding the Length of a Hypotenuse

         Finding the Length of a Leg

         Identifying Right Triangles

         10-1 Virtual Nerd� Tutorial: What is the Pythagorean Theorem?

         10-1 Virtual Nerd� Tutorial: What is the Converse of the Pythagorean Theorem?

         Benchmark Test 5
           Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

         Rational Expressions and Functions

            Dividing Algebraic Expressions
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Dividing Numbers in Scientific Notation
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Raising a Quotient to a Power
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Simplifying an Exponential Expression
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Chapter 7 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Simplify square roots of non-perfect square integers and algebraic monomials. Attend to precision. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Model with mathematics. Look for and express regularity in repeated reasoning. 

            Using the Zero-Product Property
              Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

            Solving by Factoring
              Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

            Writing in Standard Form First
              Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

            Using Factoring to Solve a Real-World Problem
              Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

            Chapter 9 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Graph exponential and quadratic equations in two variables with and without technology. Look for and make use of structure. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Look for and express regularity in repeated reasoning. 

            Solving by Isolating the Radical

            Using a Radical Equation

            Solving With Radical Expressions on Both Sides

            Identifying Extraneous Solutions

            Chapter 10 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Use appropriate tools strategically. 

            Homework Video Tutor: Adding fractions with unlike denominators

            Homework Video Tutor: Subtracting mixed numbers using renaming

            Homework Video Tutor: Dividing expressions that contain exponents
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Homework Video Tutor: Multiplying powers with the same base
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Homework Video Tutor: Raising a power to a power
              Curriculum Standards: Simplify square roots of non-perfect square integers and algebraic monomials. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. 

            Homework Video Tutor: Solving quadratic equations by factoring
              Curriculum Standards: Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. 

            Homework Video Tutor: Solving radical equations and checking for extraneous solutions

            Chapter 11 Get Ready
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Model with mathematics. Attend to precision. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

            Chapter 11 My Math Video
              Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Attend to precision. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Use appropriate tools strategically. 

            Simplifying Rational Expressions

               Student eText Lesson 11-1
                 Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               11-1 Dynamic Activity: Exploring the Reciprocal Function
                 Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Simplifying a Rational Expression
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Simplifying a Rational Expression Containing a Trinomial
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Recognizing Opposite Factors
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Using a Rational Expression
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  Recognizing Opposite Factors_1
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               Step 3: Lesson Check and Step 4: Practice

                  11-1 Virtual Nerd� Tutorial: How Do You Find Excluded Values?
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

                  11-1 Virtual Nerd� Tutorial: How Do You Divide Two Polynomials by Factoring and Canceling?
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               11-1 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

               Step 5: Assess and Remediate

                  11-1 Lesson Quiz
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. 

            Multiplying and Dividing Rational Expressions

               Student eText Lesson 11-2
                 Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Multiplying Rational Expressions
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Using Factoring
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Multiplying a Rational Expression by a Polynomial
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Dividing Rational Expressions
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Dividing a Rational Expression by a Polynomial
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

                  Simplifying a Complex Fraction
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 3: Lesson Check and Step 4: Practice

                  11-2 Virtual Nerd� Tutorial: How Do You Multiply Two Rational Expressions?
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

               11-2 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

               Step 5: Assess and Remediate

                  11-2 Lesson Quiz
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Reason abstractly and quantitatively. Look for and make use of structure. 

            Dividing Polynomials

               Student eText Lesson 11-3
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Dividing by a Monomial
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

                  Dividing by a Binomial
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

                  Dividing Polynomials With a Zero Coefficient
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

                  Reordering Terms and Dividing Polynomials
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

               Step 3: Lesson Check and Step 4: Practice

                  11-3 Virtual Nerd� Tutorial: How Do You Do Long Division With Polynomials?
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

               11-3 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

               Step 5: Assess and Remediate

                  11-3 Lesson Quiz
                    Curriculum Standards: Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Make sense of problems and persevere in solving them. Construct viable arguments and critique the reasoning of others. Attend to precision. 

            Adding and Subtracting Rational Expressions

               Student eText Lesson 11-4
                 Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Adding Expressions With Like Denominators
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

                  Subtracting Expressions With Like Denominators
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

                  Adding Expressions With Different Denominators
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

                  Subtracting Expressions With Different Denominators
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

                  Using Rational Expressions
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

               Step 3: Lesson Check and Step 4: Practice

                  11-4 Virtual Nerd� Tutorial: How Do You Add Two Rational Expressions with the Same Denominator?
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

               11-4 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

               Step 5: Assess and Remediate

                  11-4 Lesson Quiz
                    Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. 

            Chapter 11 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Attend to precision. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Use appropriate tools strategically. 

            Chapter 11 Mid-Chapter Quiz
              Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Attend to precision. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Use appropriate tools strategically. 

            Solving Rational Equations

               Student eText Lesson 11-5
                 Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Solving Equations With Rational Expressions
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  Solving by Factoring
                    Curriculum Standards: Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. 

                  Solving a Work Problem
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  Solving a Rational Proportion
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  Checking to Find an Extraneous Solution
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

                  Solving Equations With Rational Expressions_1
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               Step 3: Lesson Check and Step 4: Practice

                  11-5 Virtual Nerd� Tutorial: How Do You Solve a Rational Equation by Adding Fractions?
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               11-5 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

               Step 5: Assess and Remediate

                  11-5 Lesson Quiz
                    Curriculum Standards: Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. 

            How Fast?

            Inverse Variation

               Student eText Lesson 11-6

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Writing an Equation Given a Point

                  Using Inverse Variation

                  Graphing an Inverse Variation

                  Determining Direct or Inverse Variation

                  Identifying Direct or Inverse Variation

               Step 3: Lesson Check and Step 4: Practice

                  11-6 Virtual Nerd� Tutorial: What's the Inverse Variation or Indirect Proportionality Formula?

               11-6 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  11-6 Lesson Quiz

            Graphing Rational Functions

               Student eText Lesson 11-7
                 Curriculum Standards: Use appropriate tools strategically. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Identifying Excluded Values
                    Curriculum Standards: Use appropriate tools strategically. 

                  Using a Vertical Asymptote
                    Curriculum Standards: Use appropriate tools strategically. 

                  Using Vertical and Horizontal Asymptotes
                    Curriculum Standards: Use appropriate tools strategically. 

                  Using a Rational Function
                    Curriculum Standards: Use appropriate tools strategically. 

               Step 3: Lesson Check and Step 4: Practice

                  11-7 Virtual Nerd� Tutorial: What is a Rational Function?
                    Curriculum Standards: Use appropriate tools strategically. 

               11-7 Student eText Lesson Check and Practice Exercises
                 Curriculum Standards: Use appropriate tools strategically. 

               Step 5: Assess and Remediate

                  11-7 Lesson Quiz
                    Curriculum Standards: Use appropriate tools strategically. 

            Chapter 11 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Attend to precision. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Use appropriate tools strategically. 

            Chapter 11 Test
              Curriculum Standards: Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Attend to precision. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Use appropriate tools strategically. 

         Data Analysis and Probability

            Chapter 1 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. 

            Multiplying Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Simplifying Square Root Expressions
              Curriculum Standards: Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Make sense of problems and persevere in solving them. Attend to precision. 

            Dividing Real Numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Dividing Fractions
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Simplifying Expressions

            Rewriting Fraction Expressions

            Using the Multiplication Property of -1

            Using the Distributive Property for Mental Math

            Combining Like Terms

            Union of Sets

            Intersection of Sets

            Making a Venn Diagram

            Using a Venn Diagram

            Writing Solutions of an Inequality

            Chapter 3 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Model with mathematics. Attend to precision. Look for and make use of structure. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. 

            Making a Scatter Plot and Describing Its Correlation
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

            Writing an Equation of a Trend Line
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

            Finding the Line of Best Fit
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

            Chapter 5 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Make sense of problems and persevere in solving them. Reason abstractly and quantitatively. Construct viable arguments and critique the reasoning of others. Look for and make use of structure. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. Graph absolute value linear equations in two variables. 

            Homework Video Tutor: Adding fractions with unlike denominators

            Homework Video Tutor: Subtracting mixed numbers using renaming

            Homework Video Tutor: Multiplying rational numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Homework Video Tutor: Dividing real numbers
              Curriculum Standards: Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Simplify square roots of non-perfect square integers and algebraic monomials. Construct viable arguments and critique the reasoning of others. 

            Homework Video Tutor: Using the distributive property - Example 1

            Homework Video Tutor: Using the distributive property - Example 2

            Homework Video Tutor: Making a scatter plot
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

            Virtual Nerd� Tutorial: What's a venn diagram, and how do you find the intersection and union of a set?

            Chapter 12 Get Ready
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Model with mathematics. 

            Chapter 12 My Math Video
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

            Organizing Data Using Matrices

               Student eText Lesson 12-1

               12-1 Dynamic Activity: Independent and Dependent Events

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Adding and Subtracting Matrices

                  Multiplying a Matrix by a Scalar

                  Using Matrices

               Step 3: Lesson Check and Step 4: Practice

                  12-1 Virtual Nerd� Tutorial: How Do You Add Matrices?

               12-1 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  12-1 Lesson Quiz

            Frequency and Histograms

               Student eText Lesson 12-2
                 Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Making a Frequency Table
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

                  Making a Histogram
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

                  Interpreting Histograms
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

                  Making a Cumulative Frequency Table
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

               Step 3: Lesson Check and Step 4: Practice

                  12-2 Virtual Nerd� Tutorial: What is a Frequency Table?
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

               12-2 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

               Step 5: Assess and Remediate

                  12-2 Lesson Quiz
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. 

            Measures of Central Tendency and Dispersion

               Student eText Lesson 12-3
                 Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding Measures of Central Tendency
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

                  Finding a Data Value
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

                  Finding the Range
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

                  Finding Measures  of Central Tendency and Ranges
                  Finding Measures of Central Tendency and Ranges
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

                  Comparing Measures of Central Tendency
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

               Step 3: Lesson Check and Step 4: Practice

                  12-3 Virtual Nerd� Tutorial: What is the Mean of a Data Set?
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

               12-3 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

               Step 5: Assess and Remediate

                  12-3 Lesson Quiz
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. 

            Box-and-Whisker Plots

               Student eText Lesson 12-4
                 Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Summarizing a Data Set
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

                  Making a Box-and-Whisker Plot
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

                  Interpreting Box-and-Whisker Plots
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

                  Finding a Percentile Rank
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

               Step 3: Lesson Check and Step 4: Practice

                  12-4 Virtual Nerd� Tutorial: How Do You Find the Minimum, Maximum, Quartiles, and Median of a Data Set?
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

               12-4 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

               Step 5: Assess and Remediate

                  12-4 Lesson Quiz
                    Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. 

            Samples and Surveys

               Student eText Lesson 12-5
                 Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Classifying Data
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

                  Identifying Types of Data
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

                  Choosing a Sample
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

                  Determining Bias in a Survey Question
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

                  Determining Bias in a Sample
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

               Step 3: Lesson Check and Step 4: Practice

                  12-5 Virtual Nerd� Tutorial: What is Numerical, or Quantitative, Data?
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

               12-5 Student eText: Lesson Check and Practice Exercises
                 Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

               Step 5: Assess and Remediate

                  12-5 Lesson Quiz
                    Curriculum Standards: Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

            Chapter 12 MathXL: Mid-Chapter Practice and Review
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

            Chapter 12 Mid-Chapter Quiz
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

            Permutations and Combinations

               Student eText Lesson 12-6

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Using the Multiplication Counting Principle

                  Finding Permutations

                  Using Permutation Notation

                  Using Combination Notation

                  Finding Permutations_1

                  Using Combination Notation_1

               Step 3: Lesson Check and Step 4: Practice

                  12-6 Virtual Nerd� Tutorial: What is the Fundamental Counting Principle?

               12-6 Student eText: Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  12-6 Lesson Quiz

            Theoretical and Experimental Probability

               Student eText Lesson 12-7

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Finding Theoretical Probability

                  Finding the Probability of the Complement of an Event

                  Finding Odds

                  Finding Experimental Probability

                  Using Experimental Probability

               Step 3: Lesson Check and Step 4: Practice

                  12-7 Virtual Nerd� Tutorial: How Do You Find the Probability of a Simple Event?

               12-7 Student eText: Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  12-7 Lesson Quiz

            Probability of Compound Events

               Student eText Lesson 12-8

               Step 1: Interactive Learning

                  Solve It!
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

               Step 2: Guided Instruction

                  Key Concept
                    Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. 

                  Mutually Exclusive and Overlapping Events

                  Finding the Probability of Independent Events

                  Selecting With Replacement

                  Selecting Without Replacement

                  Finding the Probability of a Compound Event

               Step 3: Lesson Check and Step 4: Practice

                  12-8 Virtual Nerd� Tutorial: How Do You Find the Probability of Independent Events?

               12-8 Student eText Lesson Check and Practice Exercises

               Step 5: Assess and Remediate

                  12-8 Lesson Quiz

            Winning a Video Game

            Chapter 12 MathXL: End-of-Chapter Practice and Review
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

            Chapter 12 Test
              Curriculum Standards: Graph bivariate data on a scatter plot and describe the relationship between the variables. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

         End of Course Assessment
           Curriculum Standards: Make sense of problems and persevere in solving them. Model with mathematics. Look for and make use of structure. Rewrite and evaluate numeric expressions with positive rational exponents using the properties of exponents. Construct viable arguments and critique the reasoning of others. Attend to precision. Look for and express regularity in repeated reasoning. Understand the hierarchy and relationships of numbers and sets of numbers within the real number system. Simplify square roots of non-perfect square integers and algebraic monomials. Reason abstractly and quantitatively. Explain why the sum or product of two rational numbers is rational; that the sum of a rational number and an irrational number is irrational; and that the product of a nonzero rational number and an irrational number is irrational. Solve equations and formulas for a specified variable, including equations with coefficients represented by variables. Use appropriate tools strategically. Represent real-world and other mathematical problems using an algebraic proportion that leads to a linear equation and solve such problems. Solve compound linear inequalities in one variable, and represent and interpret the solution on a number line. Write a compound linear inequality given its number line representation. Solve absolute value linear equations in one variable. Graph absolute value linear equations in two variables. Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. Understand that if f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. Understand the graph of f is the graph of the equation y = f(x). Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear, has a maximum or minimum value). Sketch a graph that exhibits the qualitative features of a function that has been verbally described. Identify independent and dependent variables and make predictions about the relationship. Identify the domain and range of relations represented in tables, graphs, verbal descriptions, and equations. Understand and interpret statements that use function notation in terms of a context; relate the domain of the function to its graph and to the quantitative relationship it describes. Represent linear functions as graphs from equations (with and without technology), equations from graphs, and equations from tables and other given information (e.g., from a given point on a line and the slope of the line). Represent real-world problems that can be modeled with a linear function using equations, graphs, and tables; translate fluently among these representations, and interpret the slope and intercepts. Translate among equivalent forms of equations for linear functions, including slope-intercept, point-slope, and standard. Recognize that different forms reveal more or less information about a given situation. Represent real-world problems using linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other linear inequalities in two variables by graphing. Graph bivariate data on a scatter plot and describe the relationship between the variables. Use technology to find a linear function that models a relationship for a bivariate data set to make predictions; interpret the slope and y-intercept, and compute (using technology) and interpret the correlation coefficient. Distinguish between correlation and causation. Understand that the steps taken when solving linear  quations create new equations that have the same solution as the original. Solve fluently linear equations and inequalities in one variable with integers, fractions, and decimals as coefficients. Explain and justify each step in solving an equation, starting from the assumption that the original equation has a solution. Justify the choice of a solution method. Represent real-world problems using linear equations and inequalities in one variable and solve such problems. Interpret the solution and determine whether it is reasonable. Understand the relationship between a solution of a pair of linear equations in two variables and the graphs of the corresponding lines. Solve pairs of linear equations in two variables by graphing; approximate solutions when the coordinates of the solution are non-integer numbers. Write a system of two linear equations in two variables that represents a real-world problem and solve the problem with and without technology. Interpret the solution and determine whether the solution is reasonable. Understand that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions. Solve pairs of linear equations in two variables using substitution and elimination. Represent real-world problems using a system of two linear inequalities in two variables and solve such problems; interpret the solution set and determine whether it is reasonable. Solve other pairs of linear inequalities by graphing with and without technology. Distinguish between situations that can be modeled with linear functions and with exponential functions. Understand that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals. Compare linear functions and exponential functions that model real-world situations using tables, graphs, and equations. Represent real-world and other mathematical problems that can be modeled with exponential functions using tables, graphs, and equations of the form y = ab^x (for integer values of x > 1, rational values of b > 0 and b not equal to 1 ); translate fluently among these representations and interpret the values of a and b. Graph exponential and quadratic equations in two variables with and without technology. Understand polynomials are closed under the operations of addition, subtraction, and multiplication with integers; add, subtract, and multiply polynomials and divide polynomials by monomials. Factor common terms from polynomials and factor polynomials completely. Factor the difference of two squares, perfect square trinomials, and other quadratic expressions. Describe the relationships among the solutions of a quadratic equation, the zeros of the function, the x-intercepts of the graph, and the factors of the expression. Solve quadratic equations in one variable by inspection (e.g., for x^2 = 49), finding square roots, using the quadratic formula, and factoring, as appropriate to the initial form of the equation. Represent real-world problems using quadratic equations in one or two variables and solve such problems with and without technology. Interpret the solution and determine whether it is reasonable. Use the process of factoring to determine zeros, lines of symmetry, and extreme values in real-world and other mathematical problems involving quadratic functions; interpret the results in the real-world contexts. Simplify algebraic rational expressions, with numerators and denominators containing monomial bases with integer exponents, to equivalent forms. Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns (including joint, marginal, and conditional relative frequencies) to describe possible associations and trends in the data. Distinguish between random and non-random sampling methods, identify possible sources of bias in sampling, describe how such bias can be controlled and reduced, evaluate the characteristics of a good survey and well-designed experiment, design simple experiments or investigations to collect data to answer questions of interest, and make inferences from sample results. Understand that statistics and data are non-neutral and designed to serve a particular interest. Analyze the possibilities for whose interest might be served and how the representations might be misleading. 

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              Intended Role: Instructor

            Enrichment
              Intended Role: Instructor

            Reteaching
              Intended Role: Instructor

            Activities, Games and Puzzles
              Intended Role: Instructor

            Additional Vocabulary Support
              Intended Role: Instructor

            Enrichment
              Intended Role: Instructor

            Practice Form G
              Intended Role: Instructor

            Practice Form K
              Intended Role: Instructor

            Think About a Plan
              Intended Role: Instructor

            Teacher eText Lesson 12-6
              Intended Role: Instructor

            Activities, Games and Puzzles
              Intended Role: Instructor

            Additional Vocabulary Support
              Intended Role: Instructor

            Enrichment
              Intended Role: Instructor

            Reteaching
              Intended Role: Instructor

            Activities, Games and Puzzles
              Intended Role: Instructor

            Additional Vocabulary Support
              Intended Role: Instructor

            Enrichment
              Intended Role: Instructor

            Practice Form G
              Intended Role: Instructor

            Practice Form K
              Intended Role: Instructor

            Think About a Plan
              Intended Role: Instructor

            Teacher eText Lesson 12-7
              Intended Role: Instructor

            Activities, Games and Puzzles
              Intended Role: Instructor

            Additional Vocabulary Support
              Intended Role: Instructor

            Enrichment
              Intended Role: Instructor

            Reteaching
              Intended Role: Instructor

            Activities, Games and Puzzles
              Intended Role: Instructor

            Additional Vocabulary Support
              Intended Role: Instructor

            Enrichment
              Intended Role: Instructor

            Practice Form G
              Intended Role: Instructor

            Practice Form K
              Intended Role: Instructor

            Think About a Plan
              Intended Role: Instructor

            Teacher eText Lesson 12-8
              Intended Role: Instructor

            Activities, Games and Puzzles
              Intended Role: Instructor

            Additional Vocabulary Support
              Intended Role: Instructor

            Enrichment
              Intended Role: Instructor

            Reteaching
              Intended Role: Instructor

            Mathematical Modeling in 3 Acts: Student Worksheets
              Intended Role: Instructor

            Mathematical Modeling in 3 Acts: Teacher Support
              Intended Role: Instructor

         eText Container

            Algebra 1 Teacher Edition eText

            Algebra 1 Student Edition eText