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Scope and Sequence AM™ TX CCR Alg 1 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 - Representing Linear Functions, Equations, and Inequalities • • • • • • • • • • • • • • WP: Determine the domain or range of a linear function given a representative graph WP: Determine a reasonable domain or range for a linear function in a given situation Determine the equation of a line in slope-intercept form given the slope and y-intercept Determine an equation of a line in point-slope form given the slope and a point on the line that is not the yintercept Determine an equation of a line in various forms given two points on the line Determine an equation of a line in slope-intercept form given two nonintercept points on the line Determine an equation that represents a graphed line WP: Determine an equation representing a direct variation WP: Solve a direct-variation problem Determine an equation of a line that contains a given point and is parallel to a given line Determine an equation of a line that contains a given point and is perpendicular to a given line Determine an equation of a line that is parallel or perpendicular to the x- or yaxis Determine a 2-variable linear inequality that represents a graph Determine a system of two linear equations in two variables that represents a problem relating two numbers Topic 2 - Graphing Linear Functions, Equations, and Inequalities • • • • • • • • • • • • • • Determine the slope of a line given its graph or a graph of a line with a given slope Determine the slope of a line given a table of values Determine the slope of a line given two points on the line Determine the slope of a line given an equation of the line WP: Calculate the rate of change of a linear function given a table WP: Estimate the rate of change of a linear function on a graph Determine the graph of a linear equation Determine the graph of a linear function showing its intercepts WP: Determine the graph of a linear function that represents a situation Determine the effect on the graph of the parent function f(x) = x when f(x) is replaced by af(x), f(x) + d, f(x - c), or f(bx) for specific values of a, b, c, and d Solve a system of linear equations in two variables by graphing WP: Estimate the solution to a system of linear equations in two variables using a graph Determine the graph of a 2-variable linear inequality Determine the graph of the solution set of a system of linear inequalities in two variables Topic 3 - Statistical Relationships • Determine the line of best fit using linear regression for data on a scatter plot P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 1 of 5 R57557.150109 Scope and Sequence • • • Compute the correlation coefficient of a line of best fit WP: Interpret the correlation coefficient of a line of best fit WP: Solve a problem using linear regression and a function of best fit Topic 4 - Solving Linear Functions, Equations, and Inequalities • • • • • • • • • • • • • Solve a 1-variable linear equation Solve a multi-step 1-variable linear inequality with the variable on one side of the inequality sign that involves the commutative and associative properties Solve a multi-step 1-variable linear inequality with the variable on one side of the inequality sign that involves the distributive, commutative, and associative properties Solve a multi-step 1-variable linear inequality with the variable on both sides of the inequality sign that involves the commutative and associative properties Solve a multi-step 1-variable linear inequality with the variable on both sides of the inequality sign that involves the distributive, commutative, and associative properties 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 linear equations in two variables by substitution Solve a system of two linear equations given in standard form using elimination Solve a system of linear equations in two variables by elimination Solve a system of linear equations in two variables by any method Solve a number problem that can be represented by two linear equations in two variables WP: Solve a problem that can be represented by a system of linear equations AM™ TX CCR Alg 1 Library • • WP: Solve a mixture problem that can be represented by a system of linear equations WP: Solve a motion problem that can be represented by a system of linear equations Topic 5 - Algebra with Polynomials • • • • • • • • • • • • • • • • Add quadratic polynomials Subtract quadratic polynomials Multiply two binomials of the form (x +/- a)(x +/- b) Multiply two binomials of the form (ax +/- b)(cx +/- d) Multiply two binomials of the form (ax +/- by)(cx +/- dy) Square a binomial Multiply a trinomial by a binomial Square a trinomial Factor the GCF from a quadratic expression Factor a quadratic expression that results in factors of the form (x +/a)(x +/- b) Factor a quadratic expression that results in factors of the form (ax +/b)(cx +/- d) Factor a quadratic expression that results in factors of the form (ax +/by)(cx +/- dy) Factor a perfect-square trinomial Factor the difference of two squares Factor a quadratic expression that has a GCF and two linear binomial factors Divide a polynomial of degree two by a polynomial of degree one or two Topic 6 - Representing Quadratic Functions and Equations • • • WP: Determine a reasonable domain or range for a quadratic function in a given situation using a representative graph WP: Determine a reasonable domain or range for a quadratic function in a given situation Determine the equation for a quadratic function given the vertex and a point P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 2 of 5 R57557.150109 Scope and Sequence • • • Determine the equation of a quadratic function in standard form when given the equation of a quadratic function in vertex form Determine a quadratic equation using given information Determine the quadratic function for a given graph Topic 7 - Graphing Quadratic Functions and Equations • • • • • • Determine the graph of a quadratic equation Determine the graph of a quadratic function showing its intercepts and maximum or minimum Determine the solution(s) of an equation given in factored form Factor a quadratic function to determine the zeros of the function Determine the effect of replacing f(x) with f(x) + k or f(x + k) on the graph of a quadratic function Determine the effect of replacing f(x) with kf(x) or f(kx) on the graph of a quadratic function Topic 8 - Solving Quadratic Functions and Equations • • • • • • • • Solve a quadratic equation by taking square roots Solve a quadratic equation by factoring Determine the value needed to make a quadratic expression a perfect square trinomial Determine an expression of the form (x + b)^2 + c that is equivalent to the given expression Solve a quadratic equation by completing the square Solve a quadratic equation using the quadratic formula Determine a quadratic function of best fit using quadratic regression WP: Solve a problem using quadratic regression and a function of best fit AM™ TX CCR Alg 1 Library Topic 9 - Representing Exponential Functions and Equations • • • • • • • • • • • WP: Determine the domain or range of an exponential function given a representative graph WP: Determine a reasonable domain or range for an exponential function in a given situation WP: Represent a situation using a 2variable exponential equation Determine the graph of an exponential equation WP: Determine the sketch of an exponential function that represents a situation Determine the graph of an exponential function showing its intercepts and end behavior Determine the equation of an exponential function given a graph Determine the equation of an exponential function given two inputoutput pairs WP: Represent the relationship between two quantities with an exponential function Determine an exponential function of best fit using exponential regression WP: Solve a problem using exponential regression and a function of best fit Topic 10 - Properties of Exponents and Radical Expressions • • • • • • • Apply the product of powers property to a monomial numerical expression Apply the product of powers property to a monomial algebraic expression Apply the power of a product property to a monomial numerical expression Apply the power of a product property to a monomial algebraic expression Apply the power of a power property to a monomial numerical expression Apply the power of a power property to a monomial algebraic expression Apply the quotient of powers property to monomial numerical expressions P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 3 of 5 R57557.150109 Scope and Sequence • • • • • • • • Apply the quotient of powers property to monomial algebraic expressions Apply the power of a quotient property to monomial algebraic expressions Apply properties of exponents to monomial algebraic expressions Simplify a numerical expression that includes fractional exponents Simplify a monomial numerical expression involving the square root of a whole number Add and/or subtract numerical radical expressions Multiply monomial numerical expressions involving radicals Divide monomial numerical expressions involving radicals Topic 11 - Representing and Analyzing Functions and Relations • AM™ TX CCR Alg 1 Library • • • • • • • • Determine if a relation expressed as a graph is a function Evaluate a function written in function notation for a given value Determine a term of an arithmetic or geometric sequence given a function in recursive form Determine a recursive formula for an arithmetic sequence Determine a recursive formula for a geometric sequence Determine an explicit formula for a geometric sequence Rearrange a formula to isolate a variable of interest where the formula is linear in that variable Rearrange a formula to isolate a variable of interest where the formula is quadratic in that variable Determine if a relation expressed as a table is a function P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 4 of 5 R57557.150109 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 Alg 1 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 Algebra 1 Library P.O. Box 8036|Wisconsin Rapids, WI 54495-8036|(800) 338-4204|www.renaissance.com © 2015 Renaissance Learning, Inc. All rights reserved. Page 5 of 5 R57557.150109