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

Transcription

1 (blended) Copyright date: Contact: Tracey Bradley Phone#: (888) x463 framework. Use page number and for Annotated Teacher Edition or AII.1 The student will Chapter 4: Polynomial Expressions and Equations Lesson 4.1 Don t Take This Out of Con(p. 317) Lesson 4.2 The Great Polynomial Divide (p. 325) a) add, subtract, multiply, divide, and simplify rational algebraic expressions; CT: MATHia Module: Rational Expressions and Functions Units: Rational Expressions Simplifying Rational Expressions Multiplying and Dividing Rational Expressions Adding and Subtracting Rational Expressions Algebra II 1 of 23 Virginia Department of Education 2017

2 Chapters 8: Solving Rational Equations Lesson 8.1 There Must Be a Rational Explanation (p. 603) Lesson 8.2 Different Client, Same Deal (p. 613 Chapter 9: Radical Functions Lesson 9.4 Keepin It Real (p. 693) Lesson 9.5 Time to Operate! (p. 709) b) add, subtract, multiply, divide, and simplify radical expressions containing rational numbers and variables, and expressions containing rational exponents; and CT: MATHia Module: Radical Functions Unit: Simplification and Operations with Radicals Simplifying Radicals Adding and Subtracting Radicals Multiplying Radicals Dividing Radicals Module: Radical Functions Unit: Radical Expressions with Variables Simplifying Radicals with Variables Adding and Subtracting Radicals with Variables Multiplying Radicals with Variables c) factor polynomials completely in one or two variables. Chapter 4: Polynomial Expressions and Equations Lesson 4.3 The Factors of Life (p. 343) Lesson 4.4 Break It Down (p. 351) Lesson 4.5 Getting to the Root of It All (p. 363) Lesson 4.6 Identity Theft (p. 371) Algebra II 2 of 23 Virginia Department of Education 2017

3 AII.2 The student will perform operations on complex numbers and express the results in simplest form using patterns of the powers of i. framework. Use page number and for Annotated Teacher Edition or Chapter 2: Quadratic Functions Lesson 2.6 Now It Is Getting Complex But It Is Still Not Difficult (p. 165) CT: MATHia Module: Quadratic Functions Units: Operations with Complex Numbers Introduction to Complex Numbers Simplifying Radicals with Negative Radicands Simplifying Powers of i Adding and Subtracting Complex Numbers Multiplying Complex Numbers Algebra II 3 of 23 Virginia Department of Education 2017

4 AII.3 The student will solve a) absolute value linear equations and inequalities; framework. Use page number and for Annotated Teacher Edition or CT: MATHia Module: Quadratic Functions Unit: Forms of Quadratic Functions Quadratic Equation Solving Solving Quadratic Equations with Complex Roots Module: Rational Expressions and Functions Unit: Rational Equations Solving Rational Equations that Result in Linear Equations Solving Rational Equations that Result in Quadratic Equations Solving Rational Equations with Extraneous Solutions Workspace: Modeling and Solving with Rational Functions Additional content: Algebra I Chapter 2 Lesson 2.2 Play Ball! Algebra II 4 of 23 Virginia Department of Education 2017

5 b) quadratic equations over the set of complex numbers; c) equations containing rational algebraic expressions; and d) equations containing radical expressions. Chapter 2: Quadratic Functions Lessons 2.7 You Can t Spell Fundamental Theorem of Algebra without F-U-N! (p. 179) Chapter 7: Rational Functions Lesson 7.4 There s a Hole in my Function, Dear Liza (p. 569) Lesson 7.5 The Breaking Point (p. 583) Chapter 8: Solving Rational Equations Lesson 8.3Things Are Not Always as They Appear (p. 621) Lesson 8.4 Get to Work, Mix It Up, Go the Distance, and Lower the Cost! (p. 641) Chapter 9: Radical Functions Lesson 9.6 Look to the Horizon (p. 721) Algebra II 5 of 23 Virginia Department of Education 2017

6 AII.4 The student will solve systems of linear-quadratic and quadratic-quadratic equations, algebraically and graphically. framework. Use page number and for Annotated Teacher Edition or Chapter 2: Quadratic Functions Lesson 2.5 What s the Point (p. 147) Additional content: Course - Algebra I Chapter 13: Solving Quadratic Equations and Inequalities Lesson 13.4 You Must Have a System (p. 789) CT - MATHia Module: Algebra II 6 of 23 Virginia Department of Education 2017

7 AII.5 The student will investigate and apply the properties of arithmetic and geometric sequences and series to solve practical problems, including writing the first n terms, determining the n th term, and evaluating summation formulas. Notation will include and a n. framework. Use page number and for Annotated Teacher Edition or Chapters 1: Searching for Patterns Lesson 1.1 Patterns: They re Grrrrrowing! (p. 3) Lesson 1.2 Are They Saying the Same Thing? (p. 9) Chapter 6: Sequences and Series Lesson 6.1 Sequence-Not Just Another Glittery Accessory (p. 465) Lesson 6.2 This is Series(ous) Business (p. 473) Lesson 6.4 These Series Just Go On And On And On (p. 499) Lesson 6.5 The Power of Interest (It s a Curious Thing) (p. 511 Lesson 6.6 A Series of Fortunate Events (p. 525) Chapter 10: Graphing Exponential and Logarithmic Functions 10.1 Small Investments, Big Reward (p. 739) CT: MATHia Module: Function Overview Units: Searching for Patterns Workspace: Exploring and Analyzing Patterns Module: Sequences and Series Derive the formula to calculate the Sum of finite Algebra II 7 of 23 Virginia Department of Education 2017

8 geometric series Calculating the Sums of Finite Geometric Series Algebra II 8 of 23 Virginia Department of Education 2017

9 AII.6 For absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic functions, the student will framework. Use page number and for Annotated Teacher Edition or CT: MATHia Module: Exponential Models Unit: Exponential and Logarithmic Functions Properties of Exponential Graphs Introduction to Logarithmic Functions Module: Function Overview Unit: Graphs of Functions Workspace: Transforming Functions Module: Inverse Functions Unit: Inverse Functions Graphing Square Root Functions Graphing Cube Root Functions Module: Polynomial Functions Unit: Graphs of Polynomial Functions Workspace: Classifying Polynomial Functions Module: Polynomial Functions Unit: Solving Polynomials Workspace: Comparing Polynomial Functions in Different Forms Module: Quadratic Functions Unit: Forms of Quadratic Functions Algebra II 9 of 23 Virginia Department of Education 2017

10 Workspace: Examining the Shape and Structure of Quadratic Functions Quadratic Transformations Module: Rational Expressions and Functions Unit: Rational Functions Introduction to Rational Functions Modeling Ratios as Rational Functions Unit: Rational Models and Independent Variables Modeling Ratios as Rational Functions Using Rational Models Unit: Work, Mixture, and Distance Problems Workspace: Modeling with Rational Functions a) recognize the general shape of function families; and Chapters 1: Search for Patterns Lesson 1.3 Are They Saying the Same Thing (p. 25) Lesson 1.4 Planting the Seeds (p. 49) Chapter 3: Polynomial functions Lesson 3.4 Polynomial DNA (p. 261) Lesson 7.1 A Rational Existence (p. 541) Chapter 9: Radical Functions Lesson 9.2 The Root of the Matter (p. 675) Chapter 10: Graphing Exponential and Logarithmic Functions Lesson 10.1 Small Investment, Big Reward (p. 739) Lesson 10.5 More Than Meets the Eye (p. 787) Lesson 12.2 Paint by Numbers (p. 905) Algebra II 10 of 23 Virginia Department of Education 2017

11 b) use knowledge of transformations to convert between equations and the corresponding graphs of functions. Chapters 7: Rational Functions Lesson 7.2 A Rational Shift in Behavior (p. 553) Lesson 7.3 A Rational Approach (p. 563) Chapter 10: Graphing Exponential and Logarithmic Functions Lesson 10.3 I Like to Move It (p. 763) Lesson 10.4 I Feel the Earth Move (p. 773) Algebra II 11 of 23 Virginia Department of Education 2017

12 AII.7 The student will investigate and analyze linear, quadratic, absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic function families algebraically and graphically. Key concepts include framework. Use page number and for Annotated Teacher Edition or Chapters 1: Searching for Patterns Lesson 1.2 Are They Saying the Same Thing? (p. 9) Lesson 1.5 I ve Created a Monster (p. 57) Chapter 2: Quadratic Functions Lesson 2.1 Shape and Structure (p. 89) Lesson 2.2 Function Sense (p. 109) Lesson 2.3 Up and Down (p. 119) Lesson 2.4 Side to Side (p. 133) Lesson 2.5 What s the Point (p.147) Lesson 2.7 You Can t Spell Fundamental Theorem of Algebra without F-U-N! (p. 179) Chapter 3: Polynomial Functions Lesson 3.1 Planting the Seeds (p. 207) Lesson 3.2 Polynomial Power (p. 225) Lesson 3.3 Function Makeover (p. 239) Lesson 3.4 Polynomial DNA (p. 261) Lesson 3.5 That Graphing Looks a Little Sketchy (p. 277) Lesson 3.6 Closing Time (p. 295) Chapter 4: Polynomial Expressions and Equations Lesson 4.1 Don t Take This Out of Con(p. 317) Chapter 5: Polynomial Functions Lesson 5.5 The Choice is Yours (p. 445) Algebra II 12 of 23 Virginia Department of Education 2017

13 Chapter 7: Rational Functions Lesson 7.1 A Rational Existence (p. 541) Lesson 7.2 A Rational Shift in Behavior (p. 553) Lesson 7.3 A Rational Approach (p. 563) Lesson 7.4 There s a Hole in My Function, Dear Liza (p. 569) Lesson 7.5 The Breaking Point (p. 583) Chapter 9: Radical Functions Lesson 9.1 With Great Power (p. 663) Lesson 9.2 The Root of the Matter (p. 675) Chapter: 10: Graphing Exponential and Logarithmic Functions Lesson 10.2 We Have Liftoff! (p. 749) Lesson 10.3 I Like to Move It (p. 763) Lesson 10.4 I Feel the Earth Move (p. 773) Lesson 10.5 More Than Meets the Eye (p. 787) Chapter 11: Exponential and Logarithmic Equations Lesson 11.5 So When Will I Use This? (p. 863) CT: MATHia Module: Function Overview Unit: Searching for Patterns Workspace: Comparing Familiar Function Representations Module: Function Overview Unit: Graphs of Functions Workspace: Identifying Key Characteristics of Graphs of Functions Module: Quadratic Functions Unit: Forms of Quadratic Functions Quadratic Modeling Module: Polynomial Functions Unit: Power Functions Exploring Cubic Functions Algebra II 13 of 23 Virginia Department of Education 2017

14 a) domain, range, and continuity; b) intervals in which a function is increasing or decreasing; Exploring Power Functions Building Functions on a Coordinate Plane Unit: Graphs of Polynomial Functions Interpreting Key Features of Graphs in Terms of Quantities Identifying Key Characteristics of Polynomial Functions Identify Zeros of Polynomials Modeling Polynomials Comparing Polynomial Functions in Different Forms Module: Rational Expressions and Functions Unit: Rational Functions Introduction to Rational Functions Modeling Ratios as Rational Functions Unit: Rational Models and Independent Variables Workspace: Modeling Ratios as Rational Functions Using Rational Models Modeling with Rational Functions Chapter 7: Rational Functions Lesson 7.4 There s a Hole in My Function, Dear Liza (p. 569) Chapter 10: Graphing Exponential and Logarithmic Functions Lesson 10.2 We Have Liftoff! (p. 749) Lesson 10.4 I Feel the Earth Move (p. 773) Chapter 10: Graphing Exponential and Logarithmic Functions Lesson 10.2 We Have Liftoff! (p. 749) Lesson 10.3 I Like to Move It (p. 763) Algebra II 14 of 23 Virginia Department of Education 2017

15 Lesson I Feel the Earth Move (p. 773) Lesson 10.5 More Than Meets the Eye (p. 787) c) extrema; d) zeros; e) intercepts; f) values of a function for elements in its domain; Chapters 3: Polynomial Functions Lesson 3.4 Polynomial DNA (p. 261) Lesson 3.5 That Graphing Looks a Little Sketchy (p. 277) Chapters 1: Searching for Patterns Lesson 1.5 I ve Created a Monster (p. 57) Lesson 2.7 You Can t Spell Fundamental Theorem of Algebra without F-U-N! (p. 179) Chapter 10: Graphing Exponential and Logarithmic Functions Lesson 10.2 We Have Liftoff! (p. 749) Lesson 10.3 I Like to Move It (p. 763) Lesson I Feel the Earth Move (p. 773) Lesson 10.5 More Than Meets the Eye (p. 787) Chapters 1: Searching for Patterns Lesson 1.2 Are They Saying the Same Thing? (p. 9) Algebra II 15 of 23 Virginia Department of Education 2017

16 AII.7 The student will investigate and analyze linear, quadratic, absolute value, square root, cube root, rational, polynomial, exponential, and logarithmic function families algebraically and graphically. Key concepts include g) connections between and among multiple representations of functions using verbal descriptions, tables, equations, and graphs; h) end behavior; i) vertical and horizontal asymptotes; framework. Use page number and for Annotated Teacher Edition or Chapter 1: Searching for Patterns Lesson 1.2 Are They Saying the Same Thing? (p. 9) Lesson 1.3 Are All Functions Created Equal (p. 25) Lesson 1.4 Water Under the Bridge (p. 49) Chapters 3: Polynomial Functions Lesson 3.2 Polynomial Power (p. 225) Lesson 10.2 We Have Liftoff! (p. 749) Lesson 10.3 I Like to Move It (p. 763) Lesson I Feel the Earth Move (p. 773) Lesson 10.5 More Than Meets the Eye (p. 787) Chapter 10: Graphing Exponential and Logarithmic Functions Lesson 10.2 We Have Liftoff! (p.749) Lesson 10.3 I Like to Move It (p. 763) Lesson I Feel the Earth Move (p. 773) Lesson 10.5 More Than Meets the Eye (p. 787) Algebra II 16 of 23 Virginia Department of Education 2017

17 j) inverse of a function; and k) composition of functions algebraically and graphically. Chapters 2: Quadratic Functions Lesson 2.1 Shape and Structure (p. 89) Chapter 9: Radical Functions Lesson 9.1 With Great Power (p. 663) Lesson 9.2 The Root of the Matter (p. 675) Lesson 9.3 Making Waves (p. 685) Chapter 10: Graphing Exponential and Logarithmic Functions Lesson I Feel the Earth Move (p. 773) Chapter 9: Radical Functions Lesson 9.1 With Great Power (p. 663) Lesson 9.2 The Root of the Matter (p. 675) Lesson 9.3 Making Waves (p. 685) AII.8 The student will investigate and describe the relationships among solutions of an equation, zeros of a function, x-intercepts of a graph, and factors of a polynomial framework. Use page number and for Annotated Teacher Edition or Chapter 1: Searching for Patterns Lesson 1.5 I ve Created a Monster (p. 57) Chapter 2: Quadratic Functions Algebra II 17 of 23 Virginia Department of Education 2017

18 expression. Lesson 2.5 What s the Point (p. 147) Lesson 2.7 You Can t Spell Fundamental Theorem of Algebra without F-U-N! (p. 179) Lesson 3.1 Planting the Seeds (p. 207) Lesson 3.2 Polynomial Power (p. 225) Lesson 3.4 Polynomial DNA (p. 261) Lesson 3.5 That Graphing Looks a Little Sketchy (p. 277) Lesson 3.6 Closing Time (p. 295) CT: MATHia Module: Polynomial Functions Unit: Power Functions Building Functions on a Coordinate Plane Unit: Graphs of Polynomial Functions Use Zeros to Sketch a Graph of Polynomial Module: Intersections Unit: Understanding the Intersections of Two Functions Workspace: Understanding the Intersections of Two Functions Algebra II 18 of 23 Virginia Department of Education 2017

19 AII.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 quadratic and exponential functions. framework. Use page number and for Annotated Teacher Edition or Chapter 2: Quadratic Functions Lesson 2.5 What s the Point (p. 147) Lesson 12.6 Grab Bag (p. 941) Algebra II 19 of 23 Virginia Department of Education 2017

20 AII.10 The student will represent and solve problems, including practical problems, involving inverse variation, joint variation, and a combination of direct and inverse variations. framework. Use page number and for Annotated Teacher Edition or Chapter 7: Rational Functions Lesson 7.1 A Rational Existence (p. 541) Lesson 7.2 A Rational Shift in Behavior (p. 553) Lesson 7.3 A Rational Approach (p. 563) Lesson 7.5 The Breaking Point (p. 583) Algebra II 20 of 23 Virginia Department of Education 2017

21 AII.11 The student will a) identify and describe properties of a normal distribution; framework. Use page number and for Annotated Teacher Edition or CT: MATHia Module: Interpreting Data Unit: Interpreting Data in Normal Distributions Normal Distributions Z-Scores and Percentiles Normal Distributions and Probability Chapter 15: Interpreting Data in Normal Distributions Lesson 15.1 Recharge It! (p.1073) Lesson 15.2 #I m Online (p.1083) b) interpret and compare z-scores for normally distributed data; and Chapter 15: Interpreting Data in Normal Distributions Lesson 15.1 Recharge It! (p. 1073) Lesson 15.2 #I m Online (p. 1083) Lesson 15.3 Below the Line, Above the Line, and In Between the Lines (p. 1093) Lesson 15.4 You Make the Call (p. 1105) Algebra II 21 of 23 Virginia Department of Education 2017

22 c) apply properties of normal distributions to determine probabilities associated with areas under the standard normal curve. Chapter 15: Interpreting Data in Normal Distributions Lesson 15.1 Recharge It! (p. 1073) Lesson 15.2 #I m Online (p. 1083) Lesson 15.3 Below the Line, Above the Line, and In Between the Lines (p. 1093) Lesson 15.4 You Make the Call (p. 1105) Algebra II 22 of 23 Virginia Department of Education 2017

23 AII.12 The student will compute and distinguish between permutations and combinations. framework. Use page number and for Annotated Teacher Edition or Additional content: Course - Geometry Chapter 15: Lesson 15.1 Left, Left, Left, Right, Left Lesson 15.3 Counting Algebra II 23 of 23 Virginia Department of Education 2017