Carnegie Learning High School Math Solution Virginia Standards Alignment: Algebra I

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1 Virginia Standards Alignment: 5: 5.1: Go for the Curve! (p. 295) The student will 6: Systems of 6.1: Prepping for the Robot Challenge (p. 367) 6.2: There s Another Way? (p. 383) 6.3: What s for Lunch? (p. 391) 6.4: Which Method is Best? (p. 399) 16: Mathematical Modeling 16.2: Stop! What Is Your Reaction? (p. 939) A.1 a. represent verbal quantitative situations algebraically; and 2: Graphs,, and 3: Linear 2.6: Choose Wisely! (p.137) 3.4: A Growing Business (p. 195) Equation 1: Identifying Quantities b. evaluate algebraic expressions for given replacement values of the variables. 2: Graphs,, and 2.6: Choose Wisely! (p.137) 3: Linear A.2 a. The student will perform operations on polynomials, including applying the laws of exponents to perform operations on expressions; 5: 5.5: Radical! Because It s Cliché! (p. 337) 5.6: Checkmate! (p. 347) Rational 3: Using Properties of 1: Properties of Rational 2: Rewriting Expressions with Radical and Rational

2 a. The student will perform operations on polynomials, including applying the laws of exponents to perform operations on expressions; MSMS Course 3 Module 5: Applying Powers Topic 1: and Scientific Notation 5.1.1: It s a Generational Thing (p. M5-7) Show What You Know (p. M5-29) Properties of Whole Number 1: Using the Product Rule and the Quotient Rule 2: Using the Power to a Power Rule 3: Using the Product to a Power Rule and the Quotient to a Power Rule 4: Using Properties of with Whole Number Powers 5: Simplifying Expressions with Negative and Zero A.2 b. adding, subtracting, multiplying, and dividing polynomials; and 12.1: Controlling the Population (p.703) 12.2: They re Multiplying Like Polynomials (p. 717) Models in Factored Form Polynomial Operations Expression Factoring 1: Modeling Area as a Product of Monomial and Binomial 1: Introduction to Polynomial Arithmetic 2: Adding Polynomials 3: Subtracting Polynomials 1: Using a Factor Table to Multiply Polynomials 2: Multiplying Binomials I Polynomial Expressions and 4.2 The Great Polynomial Divide (p. 325) Polynomial Polynomial Operations 4: Synthetic Division c. factoring completely first- and second-degree binomials and trinomials in one variable. 11.4: Are You Afraid of Ghosts? (p. 645) 12.3: What Factored Into It? (p. 731) 12.4: Zeroing In (p. 743) 12.5: What Makes You So Special? (p. 751) Expression Factoring 3: Factoring Trinomials with Coefficients Other than One 4: Factoring using Difference of Squares 5: Factoring Expressions A.3 The student will simplify Radical Simplification and Operations with Radicals 1: Simplifying Radicals 2: Adding and Subtracting Radicals 3: Multiplying Radicals 4: Dividing Radical 2

3 The student will simplify Radical Radical Expressions with Variables 1: Simplifying Radicals with Variables 2: Adding and Subtracting Radicals with Variables a. square roots of whole numbers and monomial algebraic expressions; 5: 5.5 Radical! Because It s Cliché! (p. 337) 12.6: Could It Be Groovy to Be a Square? (p. 761) Rational 1: Properties of Rational 2: Rewriting Expressions with Radical and Rational A.3 b. cube roots of integers; and; 5: 5.5: Radical! Because It s Cliché! (p. 337) Rational 1: Properties of Rational 2: Rewriting Expressions with Radical and Rational c. numerical expressions containing square or cube roots. 5: 5.5: Radical! Because It s Cliché! (p. 337) Rational 1: Properties of Rational 2: Rewriting Expressions with Radical and Rational A.4 a. The student will solve multistep linear equations in one variable algebraically; b. quadratic equations in one variable algebraically; 2: Graphs,, and 3: Linear 3.4: A Growing Business (p. 195) 12.4: Zeroing In (p. 743) 12.5: What Makes You So Special? (p. 751) 12.7: Another Method (p. 771) Systems of Linear Equation Solving Linear with Variables on Both Sides 1: Solving 2: Solving by Factoring 3: Solving 1: Solving with Integers (No Type in), 2: Solving with Integers (Type in) 3: Solving with One Solution, Infinite and No Solutions 4: Sorting by Number of Solutions. 3

4 A.4 A.5 b. quadratic equations in one variable algebraically; 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. a. The student will solve multistep linear inequalities in one variable algebraically and represent the solution graphically; b. represent the solution of linear inequalities in two variables graphically; 13: Solving and 3: Linear 6: Systems of 2: Graphs,, and 3: Linear 6: Systems of 2: Graphs,, and 7: Systems of 13.1: Ladies and Gentlemen: Please Welcome the Formula (p. 789) 3.3: Cool As A Cucumber or Hot Like A Tamale! (p. 187) 6.1: Prepping for the Robot Challenge (p. 367) 6.2: There s Another Way? (p. 383) 6.3: What s for Lunch? (p. 391) 6.4: Which Method is Best? (p. 399) 2.6: Choose Wisely! (p.137) 6.1: Prepping for the Robot Challenge (p. 367) 6.2: There s Another Way? (p. 383) 6.3: What s for Lunch? (p. 391) 6.4: Which Method is Best? (p. 399) 2.3: Scouting for Prizes (p. 101) 2.4: We re Shipping Out! (p. 111) 7.1: The Playoffs (p. 411) 7.2: Working the System (p. 419) 7.3: Take It to the Max or Min (p. 439) Systems of Linear Systems of Linear Linear Linear in Two Variables 1: Representing Systems of Linear 2: Solving Linear Systems Using Linear Combinations 3: Solving Linear Systems Using Any Method 1: Representing Systems of Linear 2: Solving Linear Systems Using Linear Combinations 3: Solving Linear Systems Using Any Method 1: Graphing 2: Solving Linear 3: Representing Compound 1: Graphing Linear in Two Variables 4

5 c. solve practical problems involving inequalities; and 7: Systems of 13: Solving and 7.1: The Playoffs (p. 411) 7.2: Working the System (p. 419) 7.3: Take It to the Max or Min (p. 439) 13.3: They re a Lot More Than Just Sparklers! (p. 813) 13.4: You Must Have a System (p.821) A.5 d. represent the solution to a system of inequalities graphically. 7: Systems of 7.1: The Playoffs (p. 411) 7.2: Working the System (p. 419) 7.3: Take It to the Max or Min (p. 439) Linear in Two Variables 2: Systems of Linear 13: Solving and 13.3: They re a Lot More Than Just Sparklers! (p. 813) a. The student will 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 2: Graphs,, and 2.1 The Plane! (p. 73) 2.2 What Goes Up Must Linear 1: Modeling Rates of Change 2: Modeling Linear Given Two Points 3: Modeling Linear Given an Initial Point 4: Modeling Linear Using Multiple Representations A.6 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 3: Linear 3.2 Tickets for Sale (p. Linear 1: Modeling Rates of Change 2: Modeling Linear Given Two Points 3: Modeling Linear Given an Initial Point 4: Modeling Linear Using Multiple Representations 5: Comparing Linear in Different Forms 5

6 A.6 A.7 c. graph linear equations in two variables. 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; 3: Linear 3.2 Tickets for Sale (p. 5: 5: 13: Solving and 1: 5.3 Let the Transformations Begin (p. 313) 5.1: Go for the Curve! (p. 295) 11.1: Up and Down or Down and Up (p. 617) 11.2: Just U and I (p. 625) 11.5: Just Watch that Pumpkin Fly! (0p. 653) 11.6: The Form is Key (p. 661) 12.4: Zeroing In (p. 743) 13.1: Ladies and Gentlemen: Please Welcome the Formula (p. 789) 1.2: A Sort of Sorts (p.17) 1.3: There are Many Ways to Represent (p.35) 1.4: Families for 200, Alex (p.53) Linear Transformations Relations and 2: Modeling Linear Given Two Points 3: Modeling Linear Given an Initial Point 5: Comparing Linear in Different Forms 1: Shifting Vertically 2: Reflecting and Dilating Using Graphs 3: Shifting Horizontally 4:Transforming Using Tables of Values 5: Using Multiple Transformations 3: Understanding Linear 1: Exploring 2: Exploring Graphs of 3: Classifying Relations and 4: Identifying Characteristics of Graphs of 6

7 A.7 b. domain and range; c. zeros; and d. intercepts; 3: Linear 11.3: Walking the Curve? (p. 637) 11.3: Walking the Curve? (p. 637) 11.4: Are You Afraid of Ghosts? (p. 645) 11.5: Just Watch that Pumpkin Fly! (p. 653) 11.6: The Form is Key (p. 661) Equation Solving Models in General Form Forms of 2: Understanding 1: Making Sense of Roots and Zeros 3: Understanding Linear 5: Exploring Graphs of Linear 6: Identifying Key Characteristics of Graphs of 2: Recognizing Key Features of Vertical Motion Graphs 1: Identifying Properties of e. values of a function for elements in its domain; and 2: Graphs,, and 5: Evaluating Linear f. connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs. 2: Graphs,, and 3: Linear 2.6: Choose Wisely! (p.137) 11.4: Are You Afraid of Ghosts? (p. 645) Linear Modeled in Factored Form 2: Introduction to Families 5: Comparing Linear in Different Forms 3: Interpreting Maximums of Models 7

8 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. Similarity, Right Triangles, and Trigonometry Thinking Proportionally Forms of Right Triangles and Trigonometric Ratios Representing Proportional 1: Identifying Properties of 5: Sketching 1: Determining Side Lengths using One Trigonometric Ratio 2: Determining Side Lengths using Multiple Trigonometric Ratio 1: Introduction to Direct Variation 2: Writing Direct Variation 3: Converting Between Proportions and Direct Variation 4: Modeling Direct Variation 5: Determining Characteristics of Direct Variation Graphs 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. 3: Linear 3.1 Is it Getting Hot in Here? (page 163) Descriptive Statistics Lines of Best Fit 1: Exploring Linear Regression 2: Using Linear Regression 3: Interpreting Lines of Best Fit 4: Analyzing Residuals of Lines of Best Fit 16: Mathematical Modeling 16.4 BAC is BAD News (p. 957) Equation Solving 2: Using Regression Models 8

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

Mathematics Textbook Correlation to the 2016 Algebra I Standards of Learning and Curriculum Framework Publisher: Carnegie Learning Text: Algebra 1 (blended) Copyright date 2012-2017 Contact: Tracey Bradley Phone#: (888) 851-7094 x463 E-mail: tbradley@carnegielearning.com A.1 The student will framework.