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Scope and Sequence AM™ TX CCR Gr 7 Library The Accelerated Math™ Texas CCR Library scope and sequence is based on extensive mathematics and standards research and consultation from mathematics educators, mathematicians, and university researchers. You're sure to find objectives that reinforce the skills you are teaching, regardless of what instructional materials you use. Accelerated Math makes it easy to select and organize objectives to suit your textbook and your own teaching approach. This Accelerated Math Texas CCR library provides the following scope and sequence of objectives Topic 1 - Number and Operations: Operations with Rational Numbers • • • • • • • • • • • • • • • • • • • • • Add and/or subtract integers Add signed fractions or mixed numbers Add signed decimals Subtract signed fractions or mixed numbers Subtract signed decimals Multiply signed fractions or mixed numbers Multiply signed decimals Divide signed fractions or mixed numbers Divide signed decimals Simplify a complex fraction WP: Multiply or divide a decimal number by a decimal number WP: Solve a problem with rational numbers involving any of the four operations WP: Answer a question involving a fraction and a percent WP: Answer a question involving a fraction and a decimal WP: Solve a 2-step problem involving integers WP: Solve a 2-step problem involving fractions WP: Solve a multi-step problem involving decimal numbers WP: Solve a multi-step problem involving fractions or mixed numbers WP: Solve a multi-step problem involving integers WP: Solve a multi-step problem involving different forms of rational numbers WP: Compare earnings between hourly and salaried employees Topic 2 - Proportionality: Problem Solving • WP: Determine a unit rate • • • • • • • • • • • • • • • • • • • • WP: Determine a unit rate with a whole number value WP: Determine a unit rate with a decimal value Compute the unit rate associated with a ratio of fractions Identify the constant of proportionality from a table Identify the constant of proportionality from a graph Identify the constant of proportionality from an equation Determine the constant of proportionality between the legs of a right triangle WP: Identify the constant of proportionality WP: Use a unit rate with a whole number or whole cent value to solve a problem Relate coordinates to a graph and a table Determine the percent of change applied to a number Determine the result of applying a percent of change to a value WP: Solve a multi-step problem given a part-to-whole ratio WP: Solve a multi-step problem given a part-to-part ratio WP: Solve a multi-step ratio problem WP: Determine the percent of change applied to a number WP: Determine the result of applying a percent of change to a value WP: Solve a multi-step problem involving a percent of change applied to two different values WP: Find the result of two consecutive percentage changes applied to a given number Determine approximate conversions between metric and customary units of length P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 1 of 5 R57555.150218 Scope and Sequence AM™ TX CCR Gr 7 Library Determine approximate conversions between metric and customary units of capacity Determine approximate conversions between metric and customary units of weight/mass WP: Solve a problem involving measurement conversion • Topic 3 - Proportionality: Problem Solving with Geometry • • • • • • • • • • Determine a proportion that represents the relationships between corresponding sides of similar shapes Determine a dimension in a rescaled drawing of a geometric figure Determine a length in a geometric figure based on a scale drawing Use the ratio of two lengths within a scale drawing to determine a length in a geometric figure Determine the area of a geometric figure based on a scale drawing WP: Solve a problem involving similar shapes Topic 4 - Proportionality: Problem Solving with Probability and Statistics • • • • • • • • • • Determine all possible outcomes of a compound event using a list or a tree diagram Identify the outcomes within a sample space that compose a compound event Determine an appropriate model to simulate an event Determine an experimental probability given a list of results Make a prediction based on an experimental probability Make a prediction based on a theoretical probability Make a prediction involving the probability of compound events Determine the probability of a single event Determine the probability of the complement of a single event Use a proportion to make an estimate, related to a population, based on a sample • • Answer a question using information from a circle graph using percentage calculations Answer a question using information from a bar graph or dot plot, including part-to-whole and part-to-part comparisons and equivalents WP: Make a qualitative or quantitative prediction or comparison given an experiment Find the probability of a compound event Topic 5 - Expressions, Equations, and Relationships: Linear Relationships • • • • • • Determine the graph of a 1-operation linear function Use a table to represent a linear equation in the form y = mx + b Determine an equation in the form y = mx that represents a table of values Determine an equation in the form y = mx that represents a line passing through the origin Determine an equation in the form y = mx + b that represents a table of values Determine an equation in the form y = mx + b that represents a graphed line given the coordinates of the yintercept and one other point Topic 6 - Expressions, Equations, and Relationships: Problem Solving with Geometry • • • • • • Determine the area or circumference of a circle in terms of pi Determine the area or circumference of a circle using 3.14 for pi WP: Determine the area or circumference of a circle using 3.14 for pi Relate the circumference of a circle to the area of the circle Find the area of a polygon composed of triangles and rectangles WP: Find the area of a polygon composed of triangles and rectangles P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 2 of 5 R57555.150218 Scope and Sequence • • • • • • • • • • • • • • Determine the area of shapes composed of triangles and quadrilaterals WP: Determine the area of shapes composed of triangles and quadrilaterals Determine the surface area of a cube or rectangular prism given a net Determine the surface area of a triangular prism or pyramid given a net WP: Find the surface area of an object using a net Determine the volume of a right triangular prism Determine the volume of a solid figure composed of right rectangular prisms by decomposing it into two nonoverlapping parts and adding the volumes of the non-overlapping parts WP: Determine the volume of a solid figure composed of right rectangular prisms by decomposing it into two non-overlapping parts and adding the volumes of the non-overlapping parts WP: Determine the volume of a geometric solid composed of right prisms Solve a problem involving the volume of a rectangular or triangular prism WP: Solve a problem involving the volume of a rectangular or triangular prism Determine the volume of a rectangular or triangular pyramid WP: Determine the volume of a rectangular or triangular pyramid Solve a problem involving the volume of a rectangular or triangular pyramid Topic 7 - Expressions, Equations, and Relationships: Representing Situations with 1Variable Equations and Inequalities • • WP: Use a 1-variable equation with rational coefficients to represent a situation involving two operations WP: Use a 2-step linear inequality with one variable to represent a situation AM™ TX CCR Gr 7 Library • • • Determine the graph set of a 2-step linear involving integers Determine the graph set of a 2-step linear involving decimals Determine the graph set of a 2-step linear involving fractions of the solution inequality of the solution inequality of the solution inequality Topic 8 - Expressions, Equations, and Relationships: 1-Variable Equations and Inequalities • • • • • • • • • • Solve a 2-step linear equation involving fractions Solve a 2-step linear equation involving decimals Solve a 2-step linear equation involving integers WP: Solve a problem involving a 1variable, 2-step equation Solve a 2-step linear inequality involving decimals or fractions WP: Solve a problem involving a 2step linear inequality with one variable Determine if given values make a 2step 1-variable linear inequality true Identify an equation for the measure of an unknown angle in a geometric figure Determine the missing angle measure in a geometric figure containing overlapping triangles Solve for a missing value in a geometric figure using angle relationships Topic 9 - Measurement and Data: Data Analysis • • Compare two groups of numeric data using dot plots or box plots by comparing their shapes, centers, and spreads WP: Compare differences in data given two box plots Topic 10 - Personal Financial Literacy • WP: Apply a sales tax to a purchase P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 3 of 5 R57555.150218 Scope and Sequence • • • • • • Solve a multi-step problem involving sales tax and a discount or a price increase WP: Solve a multi-step problem involving sales tax and a discount or a price increase WP: Calculate income tax for earned wages WP: Solve a problem involving a budget for a trip WP: Calculate fixed or variable expenses WP: Determine the percent of a total monthly budget represented by one category AM™ TX CCR Gr 7 Library • • • • • • WP: Solve a problem involving a pie chart that represents a budget WP: Calculate the total value of assets and liabilities to determine net worth Solve a problem involving simple interest Calculate compound interest Calculate and compare earnings on simple and compound interest WP: Compare discounts, coupons, and/or rebates P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 4 of 5 R57555.150218 Scope and Sequence Accelerated Math Libraries include an almost unlimited supply of dynamic algorithm-generated problems for both assisted-response (multiplechoice) and free-response assignments. Twelve Texas CCR libraries are available: Kindergarten Grade 1 Grade 2 Grade 3 Grade 4 Grade 5 Grade 6 Grade 7 Grade 8 Algebra 1 Algebra 2 Geometry AM™ TX CCR Gr 7 Library Please call us toll-free at 1-800-338-4204 to order this Accelerated Math library or to request the Scope and Sequence for other libraries. Accelerated Math Library AM TX CCR Grade 7 Library P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 5 of 5 R57555.150218