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Scope and Sequence AM™ CC Grade 7 Library The Accelerated Math™ 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 library provides the following scope and sequence of objectives Topic 1 - Ratios and Proportional Relationships • • • • • • • • • • • • • • • • • • • • Compute the unit rate associated with a ratio of fractions Relate the graph of a proportional relationship to a table Determine if two quantities are in a proportional relationship using a table or a graph 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 Determine an equation that represents a proportional relationship Solve a problem involving equivalent ratios Solve a multi-step problem involving sales tax and a discount or a price increase Determine the percent of change applied to a number Determine the result of applying a percent of change to a value Solve a problem involving simple interest 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: Solve a multi-step problem involving sales tax and a discount or a price increase 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 WP: Solve a problem involving simple interest Topic 2 - The Number System • • • • • • • • • • • • • • • • • • • • • • • Determine a situation in which opposite quantities combine to make 0 Demonstrate understanding of the concept of additive inverse using a number line Add integers using a number line Subtract integers using a number line Determine the distance between two rational numbers on a number line WP: Determine the distance between two rational numbers on a number line Add integers Add signed fractions or mixed numbers Add signed decimals Subtract integers Subtract signed fractions or mixed numbers Subtract signed decimals Determine an equivalent form of a signed fraction Multiply integers Multiply signed fractions or mixed numbers Multiply signed decimals Multiply three integers Divide integers Divide signed fractions or mixed numbers Divide signed decimals Convert a rational number to a decimal number Simplify an expression containing a fraction bar Simplify a complex fraction 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 4 R56472.150218 Scope and Sequence • • • • • • • Simplify an expression containing complex fractions WP: Multiply or divide a decimal number by a decimal number WP: Add or subtract integers WP: Multiply or divide integers 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 Topic 3 - Expressions and Equations • • • • • • • • • • • • • • • Add or subtract to simplify a linear expression with rational coefficients Expand a linear expression with rational coefficients Factor a linear expression with rational coefficients Evaluate an algebraic expression with one variable and two or three operations, using integer substitution Evaluate an algebraic expression with two variables and two or three operations, using integer substitution Simplify an expression involving nested parentheses and integers Simplify an expression involving nested parentheses, integers, and decimal numbers WP: Solve a 2-step problem involving integers 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 Solve a 2-step linear equation involving fractions Solve a 2-step linear equation involving decimals Solve a 2-step linear equation involving integers AM™ CC Grade 7 Library • • • • • • • • • • • WP: Use a 1-variable equation with rational coefficients to represent a situation involving two operations WP: Solve a problem involving a 1variable, 2-step equation WP: Use a 1-variable linear inequality to represent a situation WP: Use a 2-step linear inequality with one variable to represent a situation Determine the graph of the solution set of a 1-step linear inequality involving integers Determine the graph of the solution set of a 1-step linear inequality involving decimals Determine the graph of the solution set of a 1-step linear inequality involving fractions Determine the graph of the solution set of a 2-step linear inequality involving integers Determine the graph of the solution set of a 2-step linear inequality involving decimals Determine the graph of the solution set of a 2-step linear inequality involving fractions WP: Solve a problem involving a 2step linear inequality with one variable Topic 4 - Geometry • • • • • • • • • 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 Determine the ratio that relates the area of a scale drawing to the area of a geometric figure Identify when given conditions determine 1 unique triangle, more than one triangle, or no triangle Identify a cross section of a 3dimensional shape 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 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 4 R56472.150218 Scope and Sequence • • • • • • • • • • • • • WP: Determine the area or circumference of a circle using 3.14 for pi Solve a problem involving the area or circumference of a circle Relate the circumference of a circle to the area of the circle Identify an equation for the measure of an unknown angle in a geometric figure Determine the measure of a complementary, a supplementary, or a vertical angle Determine the missing angle measure in a triangle given two other angle measures Determine the missing angle measure in a quadrilateral given three other angle measures Determine the missing angle measure in a geometric figure containing overlapping triangles Solve a problem involving the area of a 2-dimensional shape 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 3dimensional shape made from cubes Determine the volume of a 3dimensional shape made from cubes AM™ CC Grade 7 Library • • • • • Determine the surface area of a right prism Determine the volume of a right prism Solve a problem involving the volume of a right prism WP: Determine the surface area of a right prism WP: Determine the volume of a geometric solid composed of right prisms Topic 5 - Statistics and Probability • • • • • • • • • Use a proportion to make an estimate, related to a population, based on a sample Determine the likelihood of an event given its probability Determine an experimental probability given a list of results Make a prediction based on an experimental probability Compare observed frequencies of an event to its theoretical probability in an experiment Determine a probability model for experimental results 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 Find the probability of a compound event 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 4 R56472.150218 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. Twenty 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 Math 1 Math 2 Math 3 Probability & Statistics Pre-Calculus Calculus Financial Literacy Math 1 Financial Literacy Math 2 AM™ CC Grade 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 CC 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 4 of 4 R56472.150218