Mathematics Textbook Correlation to the 2016 Algebra I Standards of Learning and Curriculum Framework

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1 Publisher: Carnegie Learning Text: Algebra 1 (blended) Copyright date Contact: Tracey Bradley Phone#: (888) x463 tbradley@carnegielearning.com A.1 The student will framework. Use page number and for Annotated Teacher Edition or Chapter 5: Exponential Functions Lesson 5.1 Go for the Curve! (p. 295) Chapter 6: Systems of Equations Lesson 6.1 Prepping for the Robot Challenge (p. 367) Lesson 6.2 There s Another Way? (p. 383) Lesson 6.3 What s for Lunch? (p. 391) Lesson 6.4 Which Method is Best? (p. 399) Chapter 16: Mathematical Modeling Lesson 16.2 Stop! What Is Your Reaction? (p. 939) a) represent verbal quantitative situations algebraically; and Chapter 2: Graphs, Equations, and Inequalities Lesson 2.1 The Plane! (p. 73) Lesson 2.2 What Goes Up Must Come Down (p. 87) Lesson 2.6 Choose Wisely! (p.137) Lesson 3.2 Tickets for Sale (p. 173) Lesson 3.4. A Growing Business (p. 195) Algebra I 1 of 19 Virginia Department of Education 2017

2 Unit 1: Function Overview Workspace 1: Identifying Quantities b) evaluate algebraic expressions for given replacement values of the variables. Chapter 2: Graphs, Equations, and Inequalities Lesson 2.1 The Plane! (p. 73) Lesson 2.2 What Goes Up Must Come Down (p. 87) Lesson 2.6 Choose Wisely! (p.137) Lesson 3.2 Tickets for Sale (p. 173) Algebra I 2 of 19 Virginia Department of Education 2017

3 Publisher: Carnegie Learning Text: Algebra 1 framework. Use page number and for Annotated Teacher Edition or A.2 The student will perform operations on polynomials, including Chapter 5: Exponential Functions Lesson 5.5 Radical! Because It s Cliché! (p. 337) Lesson 5.6. Checkmate! (p.347) a) applying the laws of exponents to perform operations on expressions; b) adding, subtracting, multiplying, and dividing polynomials; and Module 2: Linear and Exponential Relationships Unit 4: Exponential Functions Workspace 3 Using Properties of Exponents Module 2: Linear and Exponential Relationships Unit 7: Rational Exponents Workspace 1: Properties of Rational Exponents Workspace 2: Rewriting Expressions with Radical and Rational Exponents Chapter 12: Polynomials and Quadratics Lesson 12.1 Controlling the Population (p.703) Lesson 12.2 They re Multiplying Like Polynomials (p. 717) Algebra I 3 of 19 Virginia Department of Education 2017

4 Module 4: Quadratics Unit 1: Quadratic Models in Factored Form Workspace 1: Modeling Area as a Product of Monomial and Binomial Unit 4: Polynomial Operations Workspace 1: Introduction to Polynomial Arithmetic Workspace 2: Adding Polynomials Workspace 3: Subtracting Polynomials Unit 5: Quadratic Expression Factoring Workspace 1: Using a Factor Table to Multiply Polynomials Workspace 2: Multiplying Binomials c) factoring completely first- and second-degree binomials and trinomials in one variable. Chapter 11: Introduction to Quadratic Functions Lesson 11.4 Are You Afraid of Ghosts? (p. 645) Chapter 12: Polynomials and Quadratics Lesson 12.3 What Factored Into It? (p. 731) Lesson 12.4 Zeroing In (p. 743) Lesson 12.5 What Makes You So Special? (p. 751) Module 4: Quadratics Unit 5: Quadratic Expression Factoring Workspace 3: Factoring Trinomials with Coefficients Other than One Workspace 4: Factoring using Difference of Squares Workspace 5: Factoring Quadratic Expressions Algebra I 4 of 19 Virginia Department of Education 2017

5 Publisher: Carnegie Learning Text: Algebra 1 framework. Use page number and for Annotated Teacher Edition or A.3 The student will simplify a) square roots of whole numbers and monomial algebraic expressions; b) cube roots of integers; and Chapter 5: Exponential Functions Lesson 5.5 Radical! Because It s Cliché! (p. 337) Chapter 12: Polynomials and Quadratics Lesson 12.6 Could It Be Groovy to Be a Square? (p. 761) Module 2: Linear and Exponential Relationships Unit 7: Rational Exponents Workspace 1 Properties of Rational Exponents Workspace 2 Rewriting Expressions with Radical and Rational Exponents Chapter 5: Exponential Functions Lesson 5.5 Radical! Because It s Cliché! (p. 337) Module 2: Linear and Exponential Relationships Unit 7: Rational Exponents Algebra I 5 of 19 Virginia Department of Education 2017

6 Workspace 1 Properties of Rational Exponents Workspace 2 Rewriting Expressions with Radical and Rational Exponents Chapter 5: Exponential Functions Lesson 5.5 Radical! Because It s Cliché! (p. 337) c) numerical expressions containing square or cube roots. Module 2: Linear and Exponential Relationships Unit 7: Rational Exponents Workspace 1 Properties of Rational Exponents Workspace 2 Rewriting Expressions with Radical and Rational Exponents Algebra I 6 of 19 Virginia Department of Education 2017

7 Publisher: Carnegie Learning Text: Algebra 1 framework. Use page number and for Annotated Teacher Edition or A.4 The student will solve a) multistep linear equations in one variable algebraically; b) quadratic equations in one variable algebraically; Chapter 2: Graphs, Equations, and Inequalities Lesson 2.1 The Plane! (p. 73) Lesson 2.2 What Goes Up Must Come Down (p. 87) Lesson 3.4. A Growing Business (p. 195) Module 4: Quadratics Unit 7: Quadratic Equation Solving Workspace 1 Solving Quadratic Equations Workspace 2 Solving Quadratic Equations by Factoring Workspace 3 Solving Quadratic Equations Chapter 12: Polynomials and Quadratics Lesson 12.4 Zeroing In (p. 743) Lesson 12.5 What Makes You So Special? (p. 751) Lesson 12.7 Another Method (p. 771) Algebra I 7 of 19 Virginia Department of Education 2017

8 c) literal equations for a specified variable; d) systems of two linear equations in two variables algebraically and graphically; and e) practical problems involving equations and systems of equations. Lesson 3.3 Cool As A Cucumber or Hot Like A Tamale! (p. 187) Chapter 6: Systems of Equations Lesson 6.1 Prepping for the Robot Challenge (p. 367) Lesson 6.2 There s Another Way? (p. 383) Lesson 6.3 What s for Lunch? (p. 391) Lesson 6.4 Which Method is Best? (p. 399) Module 2: Linear and Exponential Relationships Unit 1: Systems of Linear Equations Workspace 1: Representing Systems of Linear Functions Workspace 2: Solving Linear Systems Using Linear Combinations Workspace 3: Solving Linear Systems Using Any Method Chapter 2: Graphs, Equations, and Inequalities Lesson 2.1 The Plane! (p. 73) Lesson 2.2 What Goes Up Must Come Down (p. 87) Lesson 2.6 Choose Wisely! (p.137) Lesson 3.2 Tickets for Sale (p. 173) Chapter 6: Systems of Equations Lesson 6.1 Prepping for the Robot Challenge (p. 367) Lesson 6.2 There s Another Way? (p. 383) Lesson 6.3 What s for Lunch? (p. 391) Lesson 6.4 Which Method is Best? (p. 399) Algebra I 8 of 19 Virginia Department of Education 2017

9 Publisher: Carnegie Learning Text: Algebra 1 framework. Use page number and for Annotated Teacher Edition or Algebra I 9 of 19 Virginia Department of Education 2017

10 A.5 The student will a) solve multistep linear inequalities in one variable algebraically and represent the solution graphically; b) represent the solution of linear inequalities in two variables graphically; c) solve practical problems involving inequalities; and Chapter 2: Graphs, Equations, and Inequalities Lesson 2.3 Scouting for Prizes (p. 101) Lesson 2.4 We re Shipping Out! (p. 111) Unit 3: Linear Inequalities Workspace 1: Graphing Inequalities Workspace 2: Solving Linear Inequalities Workspace 3: Representing Compound Inequalities Chapter 7: Systems of Inequalities Lesson 7.1 The Playoffs (p. 411) Lesson 7.2 Working the System (p. 419) Lesson 7.3 Take It to the Max or Min (p. 439) Unit 6: Linear Inequalities in Two Variables Workspace 1: Graphing Linear Inequalities in Two Variables Chapter 7: Systems of Inequalities Lesson 7.1 The Playoffs (p. 411) Lesson 7.2 Working the System (p. 419) Lesson 7.3 Take It to the Max or Min (p. 439) Chapter 13: Solving Quadratic Equations and Inequalities Lesson 13.3 They re a Lot More Than Just Sparklers! (p. 813) Algebra I 10 of 19 Virginia Department of Education 2017

11 Lesson 13.4 You Must Have a System (p.821) d) represent the solution to a system of inequalities graphically. Chapter 7: Systems of Inequalities Lesson 7.1 The Playoffs (p. 411) Lesson 7.2 Working the System (p. 419) Lesson 7.3 Take It to the Max or Min (p. 439) Chapter 13: Solving Quadratic Equations and Inequalities Lesson 13.3 They re a Lot More Than Just Sparklers! (p. 813) Unit 6: Linear Inequalities in Two Variables Workspace 2: Systems of Linear Inequalities Algebra I 11 of 19 Virginia Department of Education 2017

12 Publisher: Carnegie Learning Text: Algebra 1 framework. Use page number and for Annotated Teacher Edition or A.6 The student will a) determine the slope of a line when given an equation of the line, the graph of the line, or two points on the line; and b) write the equation of a line when given the graph of the line, two points on the line, or the slope and a point on the line; and Chapter 2: Graphs, Equations, and Inequalities Lesson 2.1 The Plane! (p. 73) Chapter 2: Graphs, Equations, and Inequalities Lesson 2.2 What Goes Up Must Come Down (p. 87) Unit 2: Linear Equations Workspace 1: Modeling Rates of Change Lesson 3.2 Tickets for Sale (p. 173) Unit 2: Linear Equations Workspace 2: Modeling Linear Equations Given Two Points Algebra I 12 of 19 Virginia Department of Education 2017

13 Lesson 3.2 Tickets for Sale (p. 173) c) graph linear equations in two variables. Unit 2: Linear Equations Workspace 2 Modeling Linear Equations Given Two Points Workspace 3 Modeling Linear Equations Given an Initial Point Workspace 5 Comparing Linear Functions in Different Forms Algebra I 13 of 19 Virginia Department of Education 2017

14 Publisher: Carnegie Learning Text: Algebra 1 A.7 The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including a) determining whether a relation is a function; framework. Use page number and for Annotated Teacher Edition or Chapter 5: Exponential Functions Lesson 5.1 Go for the Curve! (p. 295) Chapter 11: Introduction to Quadratic Functions Lesson 11.1 Up and Down or Down and Up (p. 617) Lesson 11.2 Just U and I (p. 625) Lesson 11.5 Just Watch that Pumpkin Fly! (0p. 653) Lesson 11.6 The Form is Key (p. 661) Chapter 12: Polynomials and Quadratics Lesson 12.4 Zeroing In (p. 743) Chapter 13: Solving Quadratic Equations and Inequalities Lesson 13.1 Ladies and Gentlemen: Please Welcome the Quadratic Formula (p. 789) Chapter 1: Quantities and Relationships Lesson 1.2 A Sort of Sorts (p.17) Lesson 1.3 There are Many Ways to Represent Functions (p.35) Lesson 1.4 Function Families for 200, Alex (p.53) Algebra I 14 of 19 Virginia Department of Education 2017

15 Unit 1: Function Overview Workspace 3: Understanding Linear Functions b) domain and range; c) zeros; d) intercepts; Chapter 11: Introduction to Quadratic Functions Lesson 11.3 Walking the Curve? (p. 637) Unit 1 Function Overview Workspace 2 Understanding Functions Module 4: Quadratics Unit 7: Quadratic Equation Solving Workspace 1: Making Sense of Roots and Zeros Lesson 3.2 Tickets for Sale (p. 173) Unit 1: Function Overview Workspace 6: Identifying Key Characteristics of Graphs of Functions Publisher: Carnegie Learning Text: Algebra 1 Algebra I 15 of 19 Virginia Department of Education 2017

16 framework. Use page number and for Annotated Teacher Edition or A.7 The student will investigate and analyze linear and quadratic function families and their characteristics both algebraically and graphically, including e) values of a function for elements in its domain; and f) connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs. Chapter 2: Graphs, Equations, and Inequalities Lesson 2.1 The Plane! (p. 73) Lesson 2.2 What Goes Up Must Come Down (p. 87) Unit 1: Function Overview Workspace 5: Evaluating Linear Functions Chapter 2: Graphs, Equations, and Inequalities Lesson 2.6 Choose Wisely! (p.137) Lesson 3.2 Tickets for Sale (p. 173) Chapter 11: Introduction to Quadratic Functions Lesson 11.4 Are You Afraid of Ghosts? (p. 645) Unit 1: Function Overview Workspace 2: Introduction to Function Families Unit 2: Linear Equations Algebra I 16 of 19 Virginia Department of Education 2017

17 Workspace 5: Comparing Linear Functions in Different Forms Module 4: Quadratics Unit 1: Quadratics Modeled in Factored Form Workspace 3: Interpreting Maximums of Quadratic Models Module 4: Quadratics Unit 6: Forms of Quadratics Workspace 1: Identifying Properties of Quadratic Functions Workspace 5: Sketching Quadratic Functions Algebra I 17 of 19 Virginia Department of Education 2017

18 Publisher: Carnegie Learning Text: Algebra 1 framework. Use page number and for Annotated Teacher Edition or A.8 The student, given a data set or practical situation, will analyze a relation to determine whether a direct or inverse variation exists, and represent a direct variation algebraically and graphically and an inverse variation algebraically. Algebra I 18 of 19 Virginia Department of Education 2017

19 Publisher: Carnegie Learning Text: Algebra 1 A.9 The student will collect and analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems, using mathematical models of linear and quadratic functions. framework. Use page number and for Annotated Teacher Edition or Lesson 3.1 Is it Getting Hot in Here? (p. 163) Chapter 16: Mathematical Modeling Lesson 16.4 BAC is BAD News (p. 957) Module 3: Descriptive Statistics Unit 2: Lines of Best Fit Workspace 1: Exploring Linear Regression Workspace 2: Using Linear Regression Workspace 3: Interpreting Lines of Best Fit Workspace 4: Analyzing Residuals of Lines of Best Fit Module 4: Quadratics Unit 7: Quadratic Equation Solving Workspace 2: Using Regression Models Algebra I 19 of 19 Virginia Department of Education 2017

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