Organization: Pearson
Product Name: enVision Algebra 2 2018
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Curriculum Standards:


Analyze functions that include absolute value expressions. - HSM.A1.5.1
Graph and apply piecewise-defined functions. - HSM.A1.5.2
Graph and analyze transformations of the absolute value function. - HSM.A1.5.4
Evaluate reports based on data. Instructional Note: In earlier grades, students are introduced to different ways of collecting data and use graphical displays and summary statistics to make comparisons. These ideas are revisited with a focus on how the way in which data is collected determines the scope and nature of the conclusions that can be drawn from that data. The concept of statistical significance is developed informally through simulation as meaning a result that is unlikely to have occurred solely as a result of random selection in sampling or random assignment in an experiment. - ICD.M.A2HS.43
Use probabilities to make fair decisions (e.g., drawing by lots or using a random number generator). Instructional Note: Extend to more complex probability models. Include situations such as those involving quality control, or diagnostic tests that yield both false positive and false negative results. - ICD.M.A2HS.44
Analyze decisions and strategies using probability concepts (e.g., product testing, medical testing, and/or pulling a hockey goalie at the end of a game). Instructional Note: Extend to more complex probability models. Include situations such as those involving quality control, or diagnostic tests that yield both false positive and false negative results. - ICD.M.A2HS.45
Add, subtract, and multiply polynomials. - HSM.A2.3.2
Prove and use polynomial identities. - HSM.A2.3.3
Recognize the purposes of and differences among sample surveys, experiments, and observational studies; explain how randomization relates to each. Instructional Note: In earlier grades, students are introduced to different ways of collecting data and use graphical displays and summary statistics to make comparisons. These ideas are revisited with a focus on how the way in which data is collected determines the scope and nature of the conclusions that can be drawn from that data. The concept of statistical significance is developed informally through simulation as meaning a result that is unlikely to have occurred solely as a result of random selection in sampling or random assignment in an experiment. - ICD.M.A2HS.40
Use data from a sample survey to estimate a population mean or proportion; develop a margin of error through the use of simulation models for random sampling. Instructional Note: In earlier grades, students are introduced to different ways of collecting data and use graphical displays and summary statistics to make comparisons. These ideas are revisited with a focus on how the way in which data is collected determines the scope and nature of the conclusions that can be drawn from that data. The concept of statistical significance is developed informally through simulation as meaning a result that is unlikely to have occurred solely as a result of random selection in sampling or random assignment in an experiment. Focus on the variability of results from experiments—that is, focus on statistics as a way of dealing with, not eliminating, inherent randomness. - ICD.M.A2HS.41
Predict the behavior of polynomial functions. - HSM.A2.3.1
Use data from a randomized experiment to compare two treatments; use simulations to decide if differences between parameters are significant. Instructional Note: In earlier grades, students are introduced to different ways of collecting data and use graphical displays and summary statistics to make comparisons. These ideas are revisited with a focus on how the way in which data is collected determines the scope and nature of the conclusions that can be drawn from that data. The concept of statistical significance is developed informally through simulation as meaning a result that is unlikely to have occurred solely as a result of random selection in sampling or random assignment in an experiment. Focus on the variability of results from experiments—that is, focus on statistics as a way of dealing with, not eliminating, inherent randomness. - ICD.M.A2HS.42
Use roots of a polynomial equation to find other roots. - HSM.A2.3.6
Identify symmetry in and transform polynomial functions. - HSM.A2.3.7
Divide polynomials. - HSM.A2.3.4
Model and solve problems using the zeros of a polynomial function. - HSM.A2.3.5
Use inverse functions to solve problems. - HSM.A1.10.7
Add, subtract, and multiply functions. - HSM.A1.10.6
Change functions to compress or stretch their graphs. - HSM.A1.10.5
Graph and analyze transformations of functions. - HSM.A1.10.4
Identify the function family when given an equation or graph. - HSM.A1.10.3
The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve practical problems, including writing the first n terms, determining then nth term, and evaluating summation formulas. Notation will include ∑ and aₙ. - F.AII.5
The student will investigate and describe the relationships among solutions of an equation, zeros of a function, x-intercepts of a graph, and factors of a polynomial expression. - F.AII.8
Identify the key features of the cube root function. - HSM.A1.10.2
Describe the key features of the square root function. - HSM.A1.10.1
Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. Instructional Note: While students may have heard of the normal distribution, it is unlikely that they will have prior experience using it to make specific estimates. Build on students’ understanding of data distributions to help them see how the normal distribution uses area to make estimates of frequencies (which can be expressed as probabilities). Emphasize that only some data are well described by a normal distribution. - ICD.M.A2HS.37
Understand statistics as a process for making inferences about population parameters based on a random sample from that population. Instructional Note: Include comparing theoretical and empirical results to evaluate the effectiveness of a treatment. - ICD.M.A2HS.38
Decide if a specified model is consistent with results from a given data-generating process, e.g., using simulation. (e.g., A model says a spinning coin falls heads up with probability 0.5. Would a result of 5 tails in a row cause you to question the model?) - ICD.M.A2HS.39
vertical and horizontal asymptotes; - F.AII.7.i
end behavior; - F.AII.7.h
composition of functions algebraically and graphically. - F.AII.7.k
inverse of a function; and - F.AII.7.j
intercepts; - F.AII.7.e
zeros; - F.AII.7.d
connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs; - F.AII.7.g
values of a function for elements in its domain; - F.AII.7.f
domain, range, and continuity; - F.AII.7.a
Draw and describe the rotation of a figure about a point of rotation for a given angle of rotation. - HSM.G.3.3
Describe the properties of a figure before and after translation. - HSM.G.3.2
extrema; - F.AII.7.c
intervals in which a function is increasing or decreasing; - F.AII.7.b
Identify different rigid motions used to transform two-dimensional shapes. - HSM.G.3.4
Draw and describe the reflection of a figure across a line of reflection. - HSM.G.3.1
Use graphs to find approximate solutions to systems of equations. - HSM.A1.4.1
Solve systems of linear equations using the substitution method. - HSM.A1.4.2
Graph solutions to linear inequalities in two variables. - HSM.A1.4.4
Graph and solve a system of linear inequalities. - HSM.A1.4.5
Find the zeros of quadratic functions. - HSM.A2.2.3
Solve problems with complex numbers. - HSM.A2.2.4
Identify key features of quadratic functions. - HSM.A2.2.1
Write and graph quadratic functions in standard form. - HSM.A2.2.2
Solve linear-quadratic systems. - HSM.A2.2.7
Solve quadratic equations by completing the square. - HSM.A2.2.5
Solve quadratic equations using the Quadratic Formula. - HSM.A2.2.6
Graph exponential and logarithmic functions, showing intercepts and end behavior, and trigonometric functions, showing period, midline, and amplitude. - MF.M.A2HS.30.b
Graph square root, cube root, and piecewise-defined functions, including step functions and absolute value functions. - MF.M.A2HS.30.a
Quantify and analyze the spread of data. - HSM.A1.11.4
Organize and understand data using dot plots, histograms, and box plots. - HSM.A1.11.1
The student will represent and solve problems, including practical problems, involving inverse variation, joint variation, and a combination of direct and inverse variations. - S.AII.10
Derive the formula for the sum of a finite geometric series (when the common ratio is not 1), and use the formula to solve problems. Instructional Note: Consider extending this standard to infinite geometric series in curricular implementations of this course description. Example:: For example, calculate mortgage payments. - PRR.M.A2HS.8
The student will compute and distinguish between permutations and combinations. - S.AII.12
Use the structure of an expression to identify ways to rewrite it. Instructional Note: Extend to polynomial and rational expressions. Example:: For example, see x4 – y⁴ as (x²)² – (y²)², thus recognizing it as a difference of squares that can be factored as (x² – y²)(x² + y²). - PRR.M.A2HS.7
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials. Instructional Note: Extend beyond the quadratic polynomials found in Algebra I. - PRR.M.A2HS.9
Extend polynomial identities to the complex numbers. Instructional Note: Limit to polynomials with real coefficients. Example:: For example, rewrite x² + 4 as (x + 2i)(x – 2i). - PRR.M.A2HS.4
Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials. Instructional Note: Limit to polynomials with real coefficients. - PRR.M.A2HS.5
Use relationships between circles, angles, and arcs. - HSM.G.10.4
Factor a quadratic trinomial. - HSM.A1.7.5
Factor a quadratic trinomial when a ≠ 1. - HSM.A1.7.6
Factor special trinomials. - HSM.A1.7.7
Combine like terms to simplify polynomials. - HSM.A1.7.1
Multiply two polynomials. - HSM.A1.7.2
Use patterns to multiply binomials. - HSM.A1.7.3
Factor a polynomial. - HSM.A1.7.4
Relate the length of a chord to the central angle it subtends and the arc it intercepts. - HSM.G.10.3
The student will perform operations on complex numbers and express the results in simplest form using patterns of the powers of i. - EO.AII.2
Relate roots and rational exponents and use them to simplify expressions and solve equations. - HSM.A2.5.1
Solve radical equations and inequalities. - HSM.A2.5.4
Perform operations on functions to answer real-world questions. - HSM.A2.5.5
Use properties of exponents and radicals to simplify radical expressions. - HSM.A2.5.2
Graph and transform radical functions. - HSM.A2.5.3
Represent the inverse of a relation using tables, graphs, and equations. - HSM.A2.5.6
Use properties of exponents to solve equations with rational exponents. - HSM.A1.6.1
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise. Instructional Note: Extend to simple rational and radical equations. - PRR.M.A2HS.16
Create equations and inequalities in one variable and use them to solve problems. Instructional Note: Include equations arising from linear and quadratic functions, and simple rational and exponential functions. - MF.M.A2HS.23
Explain why the x-coordinates of the points where the graphs of the equations y = f(x) and y = g(x) intersect are the solutions of the equation f(x) = g(x); find the solutions approximately, e.g., using technology to graph the functions, make tables of values, or find successive approximations. Instructional Note: Include cases where f(x) and/or g(x) are linear, polynomial, rational, absolute value, exponential, and logarithmic functions. Instructional Note: Include combinations of linear, polynomial, rational, radical, absolute value, and exponential functions. - PRR.M.A2HS.17
Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior. Instructional Note: Relate this standard to the relationship between zeros of quadratic functions and their factored forms. - PRR.M.A2HS.18
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context. (e.g., Represent inequalities describing nutritional and cost constraints on combinations of different foods.) Instructional Note: While functions will often be linear, exponential, or quadratic the types of problems should draw from more complex situations than those addressed in Algebra I. Example:: For example, finding the equation of a line through a given point perpendicular to another line allows one to find the distance from a point to a line. - MF.M.A2HS.25
Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales. Instructional Note: While functions will often be linear, exponential, or quadratic the types of problems should draw from more complex situations than those addressed in Algebra I. (e.g., Finding the equation of a line through a given point perpendicular to another line allows one to find the distance from a point to a line). - MF.M.A2HS.24
Prove polynomial identities and use them to describe numerical relationships. Instructional Note: This cluster has many possibilities for optional enrichment, such as relating the example in M.A2HS.10 to the solution of the system u² + v² = 1, v = t(u+1), relating the Pascal triangle property of binomial coefficients to (x + y)ⁿ+¹ = (x + y)(x + y)ⁿ, deriving explicit formulas for the coefficients, or proving the binomial theorem by induction. Example:: For example, the polynomial identity (x² + y²)² = (x² – y²)² + (2xy)² can be used to generate Pythagorean triples. - PRR.M.A2HS.12
Know and apply the Binomial Theorem for the expansion of (x + y)ⁿ in powers of x and y for a positive integer n, where x and y are any numbers, with coefficients determined for example by Pascal’s Triangle. Instructional Note: This cluster has many possibilities for optional enrichment, such as relating the example in M.A2HS.10 to the solution of the system u² + v² = 1, v = t(u+1), relating the Pascal triangle property of binomial coefficients to (x + y)ⁿ+¹ = (x + y)(x + y)ⁿ, deriving explicit formulas for the coefficients, or proving the binomial theorem by induction. - PRR.M.A2HS.13
Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), using inspection, long division, or, for the more complicated examples, a computer algebra system. Instructional Note: The limitations on rational functions apply to the rational expressions. - PRR.M.A2HS.14
Understand that rational expressions form a system analogous to the rational numbers, closed under addition, subtraction, multiplication, and division by a nonzero rational expression; add, subtract, multiply, and divide rational expressions. Instructional Note: This standard requires the general division algorithm for polynomials. - PRR.M.A2HS.15
Describe and graph exponential functions. - HSM.A1.6.2
Use exponential functions to model situations and make predictions. - HSM.A1.6.3
Know and apply the Remainder Theorem: For a polynomial p(x) and a number a, the remainder on division by x – a is p(a), so p(a) = 0 if and only if (x – a) is a factor of p(x). - PRR.M.A2HS.10
Identify and describe geometric sequences. - HSM.A1.6.4
Perform, analyze, and use transformations of exponential functions. - HSM.A1.6.5
Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial. - PRR.M.A2HS.11
add, subtract, multiply, divide, and simplify rational algebraic expressions; - EO.AII.1.a
add, subtract, multiply, divide, and simplify radical expressions containing rational numbers and variables, and expressions containing rational exponents; and - EO.AII.1.b
Use inverse variation and graph translations of the reciprocal function. - HSM.A2.4.1
factor polynomials completely in one or two variables. - EO.AII.1.c
Graph rational functions. - HSM.A2.4.2
Solve rational equations and identify extraneous solutions. - HSM.A2.4.5
Find the product and the quotient of rational expressions. - HSM.A2.4.3
Find the sum or difference of rational expressions. - HSM.A2.4.4
Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). (e.g., Given a graph of one quadratic function and an algebraic expression for another, say which has the larger maximum.) Instructional Note: Focus on applications and how key features relate to characteristics of a situation, making selection of a particular type of function model appropriate. - MF.M.A2HS.32
apply properties of normal distributions to determine probabilities associated with areas under the standard normal curve. - S.AII.11.c
Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function. Instructional Note: Focus on applications and how key features relate to characteristics of a situation, making selection of a particular type of function model appropriate. - MF.M.A2HS.31
interpret and compare z-scores for normally distributed data; and - S.AII.11.b
Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. Instructional Note: Use transformations of functions to find models as students consider increasingly more complex situations. Observe the effect of multiple transformations on a single graph and the common effect of each transformation across function types. - MF.M.A2HS.34
identify and describe properties of a normal distribution; - S.AII.11.a
Write a function that describes a relationship between two quantities. Combine standard function types using arithmetic operations. (e.g., Build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.) Instructional Note: Develop models for more complex or sophisticated situations than in previous courses. - MF.M.A2HS.33
For exponential models, express as a logarithm the solution to a b to the ct power = d where a, c, and d are numbers and the base b is 2, 10, or e; evaluate the logarithm using technology. Instructional Note: Consider extending this unit to include the relationship between properties of logarithms and properties of exponents, such as the connection between the properties of exponents and the basic logarithm property that log xy = log x +log y. - MF.M.A2HS.36
Find inverse functions. Solve an equation of the form f(x) = c for a simple function f that has an inverse and write an expression for the inverse. (e.g., f(x) = 2 x³ or f(x) = (x+1)/(x-1) for x ≠ 1.) Instructional Note: Use transformations of functions to find models as students consider increasingly more complex situations. Extend this standard to simple rational, simple radical, and simple exponential functions; connect this standard to M.A2HS.34. - MF.M.A2HS.35
use knowledge of transformations to convert between equations and the corresponding graphs of functions. - F.AII.6.b
For a function that models a relationship between two quantities, interpret key features of graphs and tables in terms of the quantities, and sketch graphs showing key features given a verbal description of the relationship. Key features include: intercepts; intervals where the function is increasing, decreasing, positive, or negative; relative maximums and minimums; symmetries; end behavior; and periodicity. Instructional Note: Emphasize the selection of a model function based on behavior of data and context. - MF.M.A2HS.27
recognize the general shape of function families; and - F.AII.6.a
Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations. (e.g., Rearrange Ohm’s law V = IR to highlight resistance R.) While functions will often be linear, exponential, or quadratic the types of problems should draw from more complex situations than those addressed in Algebra I. Example:: For example, finding the equation of a line through a given point perpendicular to another line allows one to find the distance from a point to a line. This example applies to earlier instances of this standard, not to the current course. - MF.M.A2HS.26
Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Note: Emphasize the selection of a model function based on behavior of data and context. - MF.M.A2HS.29
Interpret the parts of a matrix and use matrices for addition, subtraction, and scalar multiplication. - HSM.A2.10.1
Find the probability of an event given that another event has occurred. - HSM.G.12.2
Write and solve equations with a variable on both sides to solve problems. - HSM.A1.1.3
Rewrite and use literal equations to solve problems. - HSM.A1.1.4
Use permutations and combinations to find the number of outcomes in a probability experiment. - HSM.G.12.3
Define probability distributions to represent experiments and solve problems. - HSM.G.12.4
Calculate, interpret, and apply expected value. - HSM.G.12.5
Use matrices to represent and solve systems of equations. - HSM.A2.10.5
Use probability to make decisions. - HSM.G.12.6
Find and use the inverse of a matrix. - HSM.A2.10.4
Interpret and use vectors for addition, subtraction, and scalar multiplication. - HSM.A2.10.3
Reason about operations with real numbers. - HSM.A1.1.1
Create and solve linear equations with one variable. - HSM.A1.1.2
Find the product of matrices or explain why the product does not exist. - HSM.A2.10.2
Write equivalent radical expressions. - HSM.A1.9.3
Solve quadratic equations by taking square roots. - HSM.A1.9.4
Use completing the square to solve quadratic equations. - HSM.A1.9.5
Use the quadratic formula to solve quadratic equations. - HSM.A1.9.6
Write and solve absolute-value equations and inequalities - HSM.A1.1.7
Use tables and graphs to find solutions of quadratic equations. - HSM.A1.9.1
Find the solution of a quadratic equation by factoring. - HSM.A1.9.2
Use relationships among events to find probabilities. - HSM.G.12.1
Solve a system with linear and quadratic equations. - HSM.A1.9.7
Understand angles in standard position. - HSM.A2.7.2
Use the unit circle to evaluate the trigonometric functions of any angle. - HSM.A2.7.3
Use right triangle trigonometry to solve problems. - HSM.A2.7.1
Use transformations to analyze and sketch graphs of trigonometric functions. - HSM.A2.7.6
Create and use graphs of sine and cosine functions. - HSM.A2.7.4
Sketch the graphs of the tangent and reciprocal trigonometric functions. - HSM.A2.7.5
absolute value linear equations and inequalities; - EI.AII.3.a
equations containing radical expressions. - EI.AII.3.d
quadratic equations over the set of complex numbers; - EI.AII.3.b
Find the lengths of segments using proportional relationships in triangles resulting from parallel lines. - HSM.G.7.5
equations containing rational algebraic expressions; and - EI.AII.3.c
Use similarity and the geometric mean to solve problems involving right triangles. - HSM.G.7.4
Dilate figures and identify characteristics of dilations. - HSM.G.7.1
Use the volumes of right and oblique pyramids and cones to solve problems. - HSM.G.11.3
Calculate the volume of a sphere and solve problems involving the volumes of spheres. - HSM.G.11.4
Use quadratic functions to model real-world situations. - HSM.A1.8.4
Identify key features of the graph of the quadratic parent function. - HSM.A1.8.1
Graph quadratic functions using the vertex form. - HSM.A1.8.2
Use the properties of prisms and cylinders to calculate their volumes. - HSM.G.11.2
Graph quadratic functions using standard form. - HSM.A1.8.3
The student will solve systems of linear-quadratic and quadratic-quadratic equations, algebraically and graphically. - EI.AII.4
Evaluate and simplify logarithms. - HSM.A2.6.3
Graph logarithmic functions and find equations of the inverses of exponential and logarithmic functions. - HSM.A2.6.4
Recognize the key features of exponential functions. - HSM.A2.6.1
Write exponential models in different ways to solve problems. - HSM.A2.6.2
Identify, write, and use geometric sequences and series. - HSM.A2.6.7
Use properties of logarithms to rewrite expressions. - HSM.A2.6.5
Solve exponential and logarithmic equations. - HSM.A2.6.6
Interpret parts of an expression, such as terms, factors, and coefficients. - PRR.M.A2HS.6.a
Use trigonometry to solve problems. - HSM.G.8.5
Use trigonometric ratios to find lengths and angle measures of right triangles. - HSM.G.8.2
Prove the Pythagorean Theorem using similarity and establish the relationships in special right triangles. - HSM.G.8.1
Use the Law of Cosines to solve problems. - HSM.G.8.4
Prove the Pythagorean identity sin²(θ) + cos²(θ) = 1 and use it to find sin (θ), cos (θ), or tan (θ), given sin (θ), cos (θ), or tan (θ), and the quadrant of the angle. Instructional Note: An Algebra II course with an additional focus on trigonometry could include the standard “Prove the addition and subtraction formulas for sine, cosine, and tangent and use them to solve problems.” This could be limited to acute angles in Algebra II. - TF.M.A2HS.22
Determine whether a function is a relation. - HSM.A1.3.1
Identify, evaluate, and graph linear functions. - HSM.A1.3.2
Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. - TF.M.A2HS.21
Use relationships among events to find probabilities. - HSM.A2.12.1
Use the relation i² = –1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers. - PRR.M.A2HS.2
Find the probability of an event given that another event has occurred. - HSM.A2.12.2
Identify and describe arithmetic sequences. - HSM.A1.3.4
Use permutations and combinations to find the number of outcomes in a probability experiment. - HSM.A2.12.3
Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle. - TF.M.A2HS.20
The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of quadratic and exponential functions. - S.AII.9
Define probability distributions to represent experiments and solve problems. - HSM.A2.12.4
Use a scatter plot to describe the relationship between two data sets. - HSM.A1.3.5
Calculate, interpret, and apply expected value. - HSM.A2.12.5
Find the line of best fit for a data set and evaluate its goodness of fit. - HSM.A1.3.6
Use probability to make decisions. - HSM.A2.12.6
Interpret key features of linear, quadratic, and absolute value functions given an equation or a graph. - HSM.A2.1.1
Interpret arithmetic sequences and series. - HSM.A2.1.4
Use graphs and tables to approximate solutions to algebraic equations and inequalities. - HSM.A2.1.5
Apply transformations to graph functions and write equations. - HSM.A2.1.2
Graph and interpret piecewise-defined functions. - HSM.A2.1.3
Understand and apply the geometric properties of a parabola. - HSM.A2.9.1
Use a variety of tools to solve systems of linear equations and inequalities. - HSM.A2.1.6
Solve systems of equations using matrices. - HSM.A2.1.7
Understand and apply the geometric properties of a hyperbola. - HSM.A2.9.4
Write, graph, and apply the equation of a circle. - HSM.A2.9.2
Describe the features of an ellipse given its equation or graph. - HSM.A2.9.3
Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle. - TF.M.A2HS.19
Use the equations and graphs of parabolas to solve problems. - HSM.G.9.4
Use the equations and graphs of circles to solve problems. - HSM.G.9.3
Use the relationships between sides, segments, and angles of triangles to solve problems. - HSM.G.5
Use inductive reasoning to make conjectures about mathematical relationships. - HSM.G.1.4
Use the midpoint and distance formulas to solve problems. - HSM.G.1.3
Write and graph linear equations using point-slope form. - HSM.A1.2.2
Write and graph linear equations using standard form. - HSM.A1.2.3
Understand where a data value falls in relation to other values in a normal distribution. - HSM.A2.11.4
Evaluate data distributions. - HSM.A2.11.3
Design a statistical study. - HSM.A2.11.2
Use vocabulary related to statistical questions and variables. - HSM.A2.11.1
Write and graph linear equations using slope-intercept form. - HSM.A1.2.1
State two hypotheses for a statistics question and decide if the data support one of the hypotheses. - HSM.A2.11.6
Use margin of error to estimate a population parameter accurately. - HSM.A2.11.5
Use inverse trigonometric functions. - HSM.A2.8.1
Use the Law of Sines and the Law of Cosines. - HSM.A2.8.2
Use the polar form of complex numbers to calculate products and powers. - HSM.A2.8.5
Verify and use trigonometric identities. - HSM.A2.8.3
Use the complex plane to show complex numbers and operations on them. - HSM.A2.8.4
Use slope to solve problems about parallel and perpendicular lines. - HSM.G.2.4




List of all Files Validated:


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