Organization: McGraw-Hill Product Name: Illustrative Math Course 1 2020 Product Version: 1.3 Source: IMS Online Validator Profile: t1.3.0 Identifier: tcc_v1p3 Timestamp: Tuesday, April 27, 2021 01:19 PM EDT Status: VALID! Conformant: true ----- VALID! ----- Resource Validation Results The document is valid. ----- VALID! ----- Schema Location Results Schema locations are valid. ----- VALID! ----- Schema Validation Results The document is valid. ----- VALID! ----- Schematron Validation Results The document is valid. Curriculum Standards: CCSS.Math.Content.6.SP.B.4 Display numerical data in plots on a number line, including dot plots, histograms, and box plots. - 1E9B5C72-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.6 Understand a rational number as a point on the number line. Extend number line diagrams and coordinate axes familiar from previous grades to represent points on the line and in the plane with negative number coordinates. - 1E4879DA-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.B Reason about and solve one-variable equations and inequalities. - 1E746F4A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.B.5.c Giving quantitative measures of center (median and/or mean) and variability (interquartile range and/or mean absolute deviation), as well as describing any overall pattern and any striking deviations from the overall pattern with reference to the context in which the data were gathered. - 1EA3F940-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A.3.d Use ratio reasoning to convert measurement units; manipulate and transform units appropriately when multiplying or dividing quantities. - 1E331C2A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP6 Attend to precision. - A647016E-6F89-11DF-BAEE-EA329DFF4B22 CCSS.Math.Content.6.NS.C.6.b Understand signs of numbers in ordered pairs as indicating locations in quadrants of the coordinate plane; recognize that when two ordered pairs differ only by signs, the locations of the points are related by reflections across one or both axes. - 1E4CFA28-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.7 Understand ordering and absolute value of rational numbers. - 1E506492-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.B.5.a Reporting the number of observations. - 1E9EE9FA-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.B.6 Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set. - 1E789D90-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.A.3 Apply the properties of operations to generate equivalent expressions. - 1E6E32BA-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.3.MD.C.5 Recognize area as an attribute of plane figures and understand concepts of area measurement. - 1CD5EB46-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.C.9 Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation. - 1E7F5A18-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.A Apply and extend previous understandings of arithmetic to algebraic expressions. - 1E5EFE76-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.B Summarize and describe distributions. - 1E99E8E2-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.4.NF Number and Operations-Fractions - 1D48A514-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.4.MD.A.1 Know relative sizes of measurement units within one system of units including km, m, cm; kg, g; lb, oz.; l, ml; hr, min, sec. Within a single system of measurement, express measurements in a larger unit in terms of a smaller unit. Record measurement equivalents in a two-column table. - 1D7521F2-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.MD.C.5.a Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. - 1DFA6114-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. - 1E20776E-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.G.A Solve real-world and mathematical problems involving area, surface area, and volume. - 1E841F08-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.B.8 Write an inequality of the form 𝘹 > 𝘹𝘤 or 𝘹𝘤𝘹 < 𝘹𝘤𝘹𝘤 to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form 𝘹𝘤𝘹𝘤𝘹 > 𝘹𝘤𝘹𝘤𝘹𝘤 or 𝘹𝘤𝘹𝘤𝘹𝘤𝘹 < 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤 have infinitely many solutions; represent solutions of such inequalities on number line diagrams. - 1E7C140C-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.4.NBT.B.5 Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the properties of operations. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models. - 1D45D410-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.G.A.1 Find the area of right triangles, other triangles, special quadrilaterals, and polygons by composing into rectangles or decomposing into triangles and other shapes; apply these techniques in the context of solving real-world and mathematical problems. - 1E86309A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.3.MD.C.6 Measure areas by counting unit squares (square cm, square m, square in, square ft, and improvised units). - 1CF419FE-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP3 Construct viable arguments and critique the reasoning of others. - A6430F50-6F89-11DF-BAEE-EA329DFF4B22 CCSS.Math.Content.6.EE.A.2.c Evaluate expressions at specific values of their variables. Include expressions that arise from formulas used in real-world problems. Perform arithmetic operations, including those involving whole-number exponents, in the conventional order when there are no parentheses to specify a particular order (Order of Operations). - 1E6B15B2-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A.2 Understand the concept of a unit rate 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢/𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣 associated with a ratio 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢:𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣 with 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣 ≠ 0, and use rate language in the context of a ratio relationship. - 1E249010-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.5 Understand that positive and negative numbers are used together to describe quantities having opposite directions or values (e.g., temperature above/below zero, elevation above/below sea level, credits/debits, positive/negative electric charge); use positive and negative numbers to represent quantities in real-world contexts, explaining the meaning of 0 in each situation. - 1E46DA08-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.MD.C.4 Measure volumes by counting unit cubes, using cubic cm, cubic in, cubic ft, and improvised units. - 1DF7BF18-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.4.MD.A.3 Apply the area and perimeter formulas for rectangles in real world and mathematical problems. - 1D7A9FD8-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.A.1 Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and equations to represent the problem. - 1E394C58-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.A.2 Understand that a set of data collected to answer a statistical question has a distribution which can be described by its center, spread, and overall shape. - 1E95F282-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.7.b Write, interpret, and explain statements of order for rational numbers in real-world contexts. - 1E54CDDE-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.B.5.d Relating the choice of measures of center and variability to the shape of the data distribution and the context in which the data were gathered. - 1EA69704-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.B.5 Summarize numerical data sets in relation to their context, such as by: - 1E9CD886-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.G.A.4 Represent three-dimensional figures using nets made up of rectangles and triangles, and use the nets to find the surface area of these figures. Apply these techniques in the context of solving real-world and mathematical problems. - 1E8B99B8-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.NBT.A.1 Recognize that in a multi-digit number, a digit in one place represents 10 times as much as it represents in the place to its right and 1/10 of what it represents in the place to its left. - 1DB01910-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A Understand ratio concepts and use ratio reasoning to solve problems. - 1E1E82CE-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.A.1 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. - 1E92532A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.3.OA.B.5 Apply properties of operations as strategies to multiply and divide. - 1C7AACCC-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP4 Model with mathematics. - A6446404-6F89-11DF-BAEE-EA329DFF4B22 CCSS.Math.Content.6.NS.C.7.c Understand the absolute value of a rational number as its distance from 0 on the number line; interpret absolute value as magnitude for a positive or negative quantity in a real-world situation. - 1E5725AC-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.B.4 Find the greatest common factor of two whole numbers less than or equal to 100 and the least common multiple of two whole numbers less than or equal to 12. Use the distributive property to express a sum of two whole numbers 1–100 with a common factor as a multiple of a sum of two whole numbers with no common factor. - 1E419336-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.MD.C Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition. - 1DF02230-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.A.1 Write and evaluate numerical expressions involving whole-number exponents. - 1E5FE70A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.A.2.b Identify parts of an expression using mathematical terms (sum, term, product, factor, quotient, coefficient); view one or more parts of an expression as a single entity. - 1E676A20-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.3.OA Operations and Algebraic Thinking - 1C5DB9B4-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.OA.B.3 Generate two numerical patterns using two given rules. Identify apparent relationships between corresponding terms. Form ordered pairs consisting of corresponding terms from the two patterns, and graph the ordered pairs on a coordinate plane. - 1DA8E6C2-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.A.4 Identify when two expressions are equivalent (i.e., when the two expressions name the same number regardless of which value is substituted into them). - 1E713B68-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning. - A6497ED0-6F89-11DF-BAEE-EA329DFF4B22 CCSS.Math.Content.3.MD.C.5.b A plane figure which can be covered without gaps or overlaps by 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯 unit squares is said to have an area of 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯 square units. - 1CF1F340-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP1 Make sense of problems and persevere in solving them. - A630F7A2-6F89-11DF-BAEE-EA329DFF4B22 CCSS.Math.Content.6.G.A.3 Draw polygons in the coordinate plane given coordinates for the vertices; use coordinates to find the length of a side joining points with the same first coordinate or the same second coordinate. Apply these techniques in the context of solving real-world and mathematical problems. - 1E894320-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.MD Measurement and Data - 1DE75DA8-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP7 Look for and make use of structure. - A648672A-6F89-11DF-BAEE-EA329DFF4B22 CCSS.Math.Content.6.SP.B.5.b Describing the nature of the attribute under investigation, including how it was measured and its units of measurement. - 1EA15910-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.4.MD Measurement and Data - 1D7137FE-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.G.A.2 Find the volume of a right rectangular prism with fractional edge lengths by packing it with unit cubes of the appropriate unit fraction edge lengths, and show that the volume is the same as would be found by multiplying the edge lengths of the prism. Apply the formulas 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝 = 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩 and 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝 = 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩 to find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems. - 1E87888C-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A.3.b Solve unit rate problems including those involving unit pricing and constant speed. - 1E2D1942-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.4.G.A.2 Classify two-dimensional figures based on the presence or absence of parallel or perpendicular lines, or the presence or absence of angles of a specified size. Recognize right triangles as a category, and identify right triangles. - 1D928580-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.B Compute fluently with multi-digit numbers and find common factors and multiples. - 1E3D3EC6-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.7.d Distinguish comparisons of absolute value from statements about order. - 1E599062-7053-11DF-8EBF-BE719DFF4B22 SP.M.6.25 Recognize a statistical question as one that anticipates variability in the data related to the question and accounts for it in the answers. (e.g., “How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students’ ages.) - F616B136-C90F-11E5-9534-11B78A248D58 CCSS.Math.Content.4.MD.A Solve problems involving measurement and conversion of measurements from a larger unit to a smaller unit. - 1D7307DC-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.A.3 Recognize that a measure of center for a numerical data set summarizes all of its values with a single number, while a measure of variation describes how its values vary with a single number. - 1E983E16-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.B.2 Fluently divide multi-digit numbers using the standard algorithm. - 1E3EC138-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.B.7 Solve real-world and mathematical problems by writing and solving equations of the form 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹 + 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱 = 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲 and 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹 = 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲 for cases in which 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲𝘱, 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲𝘱𝘲 and 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲𝘱𝘲𝘹 are all nonnegative rational numbers. - 1E7A6C1A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.3.G.A Reason with shapes and their attributes. - 1D0D7778-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.B.5 Understand solving an equation or inequality as a process of answering a question: which values from a specified set, if any, make the equation or inequality true? Use substitution to determine whether a given number in a specified set makes an equation or inequality true. - 1E761D0E-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.G.B Classify two-dimensional figures into categories based on their properties. - 1E07D2D6-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A.3.c Find a percent of a quantity as a rate per 100 (e.g., 30% of a quantity means 30/100 times the quantity); solve problems involving finding the whole, given a part and the percent. - 1E31940E-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.6.c Find and position integers and other rational numbers on a horizontal or vertical number line diagram; find and position pairs of integers and other rational numbers on a coordinate plane. - 1E4EBC5A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.A Apply and extend previous understandings of multiplication and division to divide fractions by fractions. - 1E371E1A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.B.3 Fluently add, subtract, multiply, and divide multi-digit decimals using the standard algorithm for each operation. - 1E3FE838-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.A.2.a Write expressions that record operations with numbers and with letters standing for numbers. - 1E64B9A6-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP5 Use appropriate tools strategically. - A645CA4C-6F89-11DF-BAEE-EA329DFF4B22 CCSS.Math.Content.5.NF.B.7 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. - 1DDD4BC4-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent ratios, tape diagrams, double number line diagrams, or equations. - 1E28AC4A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.NF Number and Operations-Fractions - 1DC436B6-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.8 Solve real-world and mathematical problems by graphing points in all four quadrants of the coordinate plane. Include use of coordinates and absolute value to find distances between points with the same first coordinate or the same second coordinate. - 1E5C1346-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.RP.A.3.a Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane. Use tables to compare ratios. - 1E2AE88E-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.3.OA.A Represent and solve problems involving multiplication and division. - 1C5F9496-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.7.a Interpret statements of inequality as statements about the relative position of two numbers on a number line diagram. - 1E517FEE-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C Apply and extend previous understandings of numbers to the system of rational numbers. - 1E4523FC-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.NS.C.6.a Recognize opposite signs of numbers as indicating locations on opposite sides of 0 on the number line; recognize that the opposite of the opposite of a number is the number itself, e.g., -(-3) = 3, and that 0 is its own opposite. - 1E4A881A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.3.MD.C.7.d Recognize area as additive. Find areas of rectilinear figures by decomposing them into non-overlapping rectangles and adding the areas of the non-overlapping parts, applying this technique to solve real world problems. - 1D03EF28-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.4.NBT Number and Operations in Base Ten - 1D399A74-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.MD.C.5 Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume. - 1DF92B6E-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.EE.A.2 Write, read, and evaluate expressions in which letters stand for numbers. - 1E629B3A-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.NF.B.3 Interpret a fraction as division of the numerator by the denominator (𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲𝘱𝘲𝘹𝘢/𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲𝘱𝘲𝘹𝘢𝘣 = 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲𝘱𝘲𝘹𝘢𝘣𝘢 ÷ 𝘹𝘤𝘹𝘤𝘹𝘤𝘹𝘤𝘢𝘣𝘢𝘣𝘣𝘯𝘯𝘝𝘭𝘸𝘩𝘝𝘣𝘩𝘹𝘱𝘲𝘱𝘹𝘲𝘱𝘲𝘹𝘢𝘣𝘢𝘣). Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers, e.g., by using visual fraction models or equations to represent the problem. - 1DD01CA6-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.6.SP.A Develop understanding of statistical variability. - 1E8FD2DA-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Content.5.NBT Number and Operations in Base Ten - 1DACEABA-7053-11DF-8EBF-BE719DFF4B22 CCSS.Math.Practice.MP2 Reason abstractly and quantitatively. - A6424534-6F89-11DF-BAEE-EA329DFF4B22 List of all Files Validated: imsmanifest.xml resources/basicLTILink/R_FC977FA40A286CDD4331F9C091D8C8CE.xml resources/basicLTILink/R_B310A64E1023EC6B31EADFFE192F0E94.xml resources/basicLTILink/R_F61C45625AB801C5691A4B748A87380C.xml resources/basicLTILink/R_82F43E9D577202A701867AE588BB804C.xml resources/basicLTILink/R_55B8F07F1A456E9CC7C85E40974E9F86.xml resources/basicLTILink/R_3258660C8C79B968E72E59DFE19E3216.xml 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