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Scope and Sequence AM™ CC Grade 8 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 - The Number System • • • • • • • Convert a fraction to a repeating decimal number Convert a repeating decimal to a fraction or a mixed number Evaluate the square root of a perfect square up to 144 Evaluate the cube root of a perfect cube up to 1000 Identify rational or irrational numbers Approximate the location of an irrational number on a number line Approximate the value of an irrational expression Topic 2 - Expressions and Equations • • • • • • • • • • • • • • Evaluate an integer raised to a wholenumber exponent Evaluate an integer raised to a zero or negative-integer power Evaluate a fraction raised to a wholenumber exponent Evaluate a fraction raised to a zero or negative-integer exponent Apply the product of powers property to a monomial numerical expression Apply the power of a product property to a monomial numerical expression Apply the power of a power property to a monomial numerical expression Apply the quotient of powers property to monomial numerical expressions Solve a simple quadratic equation Solve a simple cubic equation Convert a whole number greater than 10 to scientific notation Convert a whole number greater than 10 from scientific notation to standard form Convert a number less than 1 to scientific notation Convert a number less than 1 from scientific notation to standard form • • • • • • • • • • • • • • • • • • • Represent a quantity using scientific notation Use scientific notation to estimate a very large or a very small quantity Compare two numbers written in scientific notation Compare the relative size of two numbers written in scientific notation Add or subtract numbers written in standard form and scientific notation Add or subtract numbers written in scientific notation Multiply or divide numbers written in standard form and scientific notation Multiply or divide numbers written in scientific notation WP: Add or subtract numbers written in scientific notation WP: Multiply or divide numbers written in scientific notation WP: Determine the graph of a proportional relationship Determine the slope between three distinct points on the same line Compare two proportional relationships represented in different ways Determine the number of solutions for a 1-variable linear equation Solve a multi-step linear equation with variables on one side of the equal sign Solve a multi-step linear equation that has variables on one side of the equal sign and involves distribution Solve a 2-step linear equation with variables on both sides of the equal sign Solve a multi-step linear equation with variables on both sides of the equal sign Solve a multi-step linear equation that has variables on both sides of the equal sign and involves distribution P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 1 of 4 R56473.140114 Scope and Sequence • • • • • • • • • Identify the number of solutions in a system of two linear equations represented graphically Solve a system of two linear equations in slope-intercept form using substitution Solve a system of two linear equations given in slope-intercept and standard forms using substitution Solve a system of two linear equations given in standard form using elimination Determine the number of solutions to a system of two linear equations by inspection Determine a system of two linear equations in two variables that represents a problem relating two numbers Solve a number problem that can be represented by two linear equations in two variables WP: Determine a system of two linear equations in two variables that represents a given situation WP: Solve a problem that can be represented by a system of linear equations Topic 3 - Functions • • • • • • • • Determine if a relation expressed as a table is a function Determine if a relation expressed as a graph is a function Compare a linear function represented algebraically to a linear function represented in a graph Compare a linear function represented algebraically to a linear function represented in a table Compare a description of a linear function to a linear function represented algebraically Compare a description of a linear function to a linear function represented in a graph Compare a description of a linear function to a linear function represented in a table Compare a linear function represented in a table to a linear function represented in a graph AM™ CC Grade 8 Library • • • • • • • • • • • • • Determine if a function is linear or nonlinear Determine whether a graph represents a linear or nonlinear function Determine whether a table represents a linear or nonlinear function WP: Determine the graph that models a function given in a description Determine the rate of change or initial value of a function given a graph, a table, or two (x, y) values Determine an equation in the form y = mx that represents a table of values WP: 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 WP: 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 WP: Determine an equation in the form y = mx + b that represents a table of values WP: Determine an equation in the form y = mx + b that represents a graphed line Topic 4 - Geometry • • • • • Determine a sequence of transformations that maps one figure onto a congruent figure Determine the coordinates of a translated, dilated, rotated, or reflected shape on the Cartesian plane Determine a sequence of transformations that maps one figure onto a similar figure Determine the length of the hypotenuse of a right triangle using the Pythagorean theorem Determine the length of a leg of a right triangle using the Pythagorean theorem P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 2 of 4 R56473.140114 Scope and Sequence • • • • • • • • Determine the length of a side of a right triangle using the Pythagorean theorem, answers in radical form WP: Find an unknown side length in a right triangle using the Pythagorean Theorem Determine a distance on the Cartesian plane using the Pythagorean theorem Determine the volume of a cylinder Determine the volume of a cone Solve a problem involving the volume of a cone or cylinder Determine the volume of a sphere or hemisphere WP: Determine the volume of a cylinder or cone AM™ CC Grade 8 Library • WP: Determine the volume of a sphere or hemisphere Topic 5 - Statistics and Probability • • • • Use a scatter plot to organize data Identify a pattern of association between two quantities Approximate a trend line for a scatter plot Use a two-way table to summarize data on two categorical variables collected from the same subjects P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 3 of 4 R56473.140114 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 8 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 8 Library P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renlearn.com © 2014 Renaissance Learning, Inc. All rights reserved. Page 4 of 4 R56473.140114