pp. 4 8: Examples 1 6 Quick Check 1 6 Exercises 1, 2, 20, 42, 43, 64


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1 Semester 1 Text: Chapter 1: Tools of Algebra Lesson 11: Properties of Real Numbers Day 1 Part 1: Graphing and Ordering Real Numbers Part 1: Graphing and Ordering Real Numbers Lesson 12: Algebraic Expressions Day 2 Part 1: Evaluating Algebraic Expressions Part 2: Simplifying Algebraic Expressions How do we name and order real numbers, and how do we use properties of real numbers? How do we use properties and the order of operations to evaluate and simplify algebraic expressions? Lesson 13: Solving Equations Day 3 Part 1: Solving Equations How do we use properties of equality to solve equations? Day 4 Part 2: Writing Equations to Solve Problems Lesson 14: Solving Inequalities Day 5 Part 1: Solving and Graphing Inequalities Part 2: Compound Inequalities How do we relate solving inequalities to solving equations? Lesson 15: Absolute Value Equations and Inequalities Day 6 Part 1: Absolute Value Equations Day 7 Part 2: Absolute Value Inequalities How can we apply the definition of absolute value to solve an absolute value equation? How do we solve absolute value inequalities? Graphing and ordering real numbers. Identifying and using properties of real numbers. Evaluating algebraic expressions. Combining like terms. Learning procedures to solve equations. Solving word problems by writing and solving equations. Solving inequalities involving linear expressions in one variable. Understanding the procedures to solve an absolute value equation. Solving and graphing an absolute value inequality. pp. 4 8: Examples 1 6 Quick Check 1 6 Exercises 1, 2, 20, 42, 43, 64 pp : Exercises 1, 2, 10, 21, 22, 50 pp : Exercises 8, 14, 28, 37 pp : Examples 5, 6 Quick Check 5, 6 Exercises 29, 33, 35, 48 pp : Examples 1 6 Quick Check 1 6 Exercises 17, 18, 22, 27, 37 pp : Exercises 6, 8, 10, 35 pp : Examples 4 6 Quick Check 4 6 Exercises 17, 22, 28, 45 pp. 8 9: Exercises 5 37 odd, even, pp : Exercises 3 15 odd, even, 52, 63 Exercises 1 27 odd, even Exercises 30 32, 34, pp : Exercises 1 15 odd, even, 31, 33, 35, 39, 48 Exercises 1 15 odd, even Exercises even, odd, even, 55 A2.CM.12 A2.CN.3 A2.CM.11 A2.A.1 A2.A.1 p. 1
2 Semester 1 Lesson 16: Probability Day 8 Part 1: Experimental Probability Part 2: Theoretical Probability How do we calculate empirical and theoretical probabilities? Text: Chapter 2: Functions, Equations, and Graphs Lesson 21: Relations and Functions Day 9 Day 10 Part 1: Graphing Relations Part 2: Identifying Functions Lesson 22: Linear Equations Day 11 Part 1: Graphing Linear Equations Day 12 Part 2: Writing Equations of Lines Lesson 23: Direct Variation Day 13 Part 1: Writing and Interpreting a Direct Variation Lesson 24: Using Linear Models Day 14 Part 1: Modeling RealWorld Data Part 2: Predicting with Linear Models What is the definition of a relation? How do we determine whether a relation is a function? How do we graph equations of lines? How do we write linear equations? How can we identify and apply direct variation? When is it appropriate to use a linear equation to model a realworld situation? Finding experimental and theoretical probabilities. Graphing a relation, identifying its domain and range. Using the verticalline test. pp : Exercises 4, 14, 28, 38 pp :, Exercises 1, 5, 8, 32 pp : Examples 4 6, Quick Check 4 6 Exercises 12, 18, 22, 36 Graphing linear equations. pp : Exercises 2, 10, 18, 43 Writing equations of lines. Using direct variation to solve for unknown values. Using scatterplots and trendlines to make predictions. pp : Examples 4 7 Quick Check 4 7 Exercises 20, 29, 39, 66 pp : Exercises 23, 24, 33, 41 pp : Exercises 3, 5, 12, 20 pp : Exercises 1 13 odd, 15, 16, 17, 20, 22, 24 27, 29 33, 40, 41 pp : Exercises 1 4, 6, 7, 9 11, pp : Exercises 13 17, 19, 20, odd, 33, 37, 39, pp : Exercises 1 19 odd, even pp : Exercises even, odd, 67, 75 pp : Exercises 1 21 odd, odd, even, 52 pp : Exercises 2 10 even, odd A2.S.13 A2.S.14 A2.A.37, A2.A.38, A2.A.39, A2.A.52 A2.PS.4, A2.RP.3 A2.A.5 A2.S.6 p. 2
3 Semester 1 Lesson 25: Absolute Value Functions and Graphs (Optional) Lesson 26: Families of Functions Day 15 Part 1: Translations Part 2: Stretches, Shrinks, and Reflections How can we use transformations to write equations of functions and graph equations? Performing transformations with functions. Lesson 27: TwoVariable Inequalities Day 16 Part 1: Graphing Linear Inequalities Part 2: Graphing Two Variable Absolute Value Inequalities (Optional) How do we graph the solutions to a linear inequality? Text: Chapter 3: Linear Systems Lesson 31: Graphing Systems of Equations Day 17 Part 1: Systems of Linear Equations How do we solve a system of linear equations by graphing? Text: Lesson 32: Solving Systems Algebraically Day 18 Part 1: Solving Systems by Substitution When can we use substitution to solve a system of equations? Day 19 Part 2: Solving Systems by Elimination When can we use the method of elimination to solve a system of equations? Text: Lesson 33: Systems of Inequalities Day 20 Part 1: Solving Systems of Inequalities How do we solve a system of inequalities? Correctly graphing the boundary line and the shaded region that represent the solution region. Solving a system by graphing. Solving a system using substitution. Solving a system using elimination. Using a table or graphing to solve a systems of inequalities. pp : Exercises 6, 12, 27, and 42 pp : Exercises 2, 4, 23, 36 pp : Exercises 6, 12, 25, 41 pp : Exercises 1, 3, 13, 44 pp : Examples 3 5 Quick Check 3 5 Exercises 18, 19, 33, 43 pp : Exercises 4, 10, 18, 35 pp : Exercises 1 21 odd, even, 43 pp : Exercises 1 19 odd, even, 37, 38, 43 pp Exercises 1 23 odd, even, odd Exercises 3 12, Exercises even, odd, 62 Exercises 1 29 odd, even A2.A.40, A2.A.41, A2.A.46 A2.PS.2 A2.PS.10 A2.PS.4 p. 3
4 Semester 1 Text: Lesson 34: Linear Programming Day 21 Part 1: Finding Maximum and Minimum Values Part 2: Solving Problems with Linear Programming How can we use graphs of linear inequalities to solve problems? Text: Lesson 35: Graphs in Three Dimensions Day 22 Part 1: Graphing Points in Three Dimension Part 2: Graphing Equations in Three Dimensions (Optional) How do we locate a point in a threedimensional coordinate system? Using graphs to of linear inequalities to represent problem situations. Graphing points with three coordinates. Text: Lesson 36: Systems with Three Variables (Optional) Text: Chapter 4: Matrices Lesson 41: Organizing Data Into Matrices Day 23 Part 1: Identifying Matrices What are matrices? Identifying the dimensions of a matrix and element of a matrix. Day 24 Part 2: Organizing Statistical Data How can we use matrices? Text: Lesson 42: Adding and Subtracting Matrices Day 25 Part 1: Adding and How do we add and Subtracting Matrices subtract matrices? Part 2: Solving Matrix Equations (Optional) Text: Lesson 43: Matrix Multiplication Day 26 Part 1: Multiplying a What is scalar Matrix by a Scalar multiplication? Part 2: Multiplying Matrices (Optional) Using matrices to organize data. Using matrix addition and subtraction. Multiplying the elements of a matrix by a scalar. pp : Exercises 1, 7, 9, 14 pp : Exercises 1, 9, 13, 25 pp : Exercises 1, 2, 6, 18 pp : Examples 3, 4 Quick Check 3, 4 Exercises 12, 14, 15, 16 pp : Exercises 2, 3, 6, 22 pp : Examples 1 3 Exercises 1, 5, 8, 30 Exercises 2 10 even, odd, 20 Exercises 2 18 even, 37 46, 48 Exercises 3 5, 7 11, Exercises , 26 Exercises 1, 4, 5, 7 9, 18 21, 23, 27 Exercises 3 12, A2.PS.4 A2.R.1 A2.R.2 p. 4
5 Semester 1 Lesson 44: Geometric Transformation With Matrices Day 27 Part 1: Translations and Dilations with Matrices Day 28 Part 2: Reflections and Rotations with Matrices How can we use matrices to represent translations and dilations? How can we use matrices to represent reflections and rotations? Representing translations and dilations with matrices. Representing reflections and rotations with matrices. Lesson 45: 2 2 Matrices, Determinants, and Inverses (Optional) Lesson 46: 3 3 Matrices, Determinants, and Inverses (Optional) Lesson 47: Inverse Matrices and Systems (Optional) Lesson 48: Augmented Matrices and Systems (Optional) Text: Chapter 5: Quadratic Equations and Functions Lesson 51: Modeling Data with Quadratic functions Day 29 Part 1: Quadratic Functions and Their Graphs Part 2: Using Quadratic Models How can we use quadratic functions? Identifying the graph of a quadratic function. Lesson 52: Properties of Parabolas (Optional) Lesson 53: Transforming Parabolas Day 30 Part 1: Using Vertex Form How do we graph and write an equation of a parabola? Lesson 54: Factoring Quadratic Expressions Day 31 Part 1: Finding Common and Binomial Factors How do we factor a quadratic expression of the form ax 2 + bx + c? Day 32 Part 2: Factoring Special Expressions How do we factor quadratic expressions of the form a 2 ± 2ab + b 2 and a 2 b 2? Performing translations with parabolas. Finding common and binomial factors of quadratic expressions. Factoring a perfect square trinomial and the difference of two squares. pp : Exercises 1, 5, 6, 26 pp : Examples 3, 4 Quick Check 3, 4 Exercises 10, 13, 17, 42 pp : Exercises 9, 12, 21, 34 pp : Exercises 3, 15, 28, 39 pp : Examples 1 6 Quick Check 1 6 Exercises 2, 8, 20, 25, 50 pp : Examples 7, 8 Quick Check 7, 8 Exercises 31, 32, 44, 46, 51 Exercises 2 4, 7 9, 24, 25, 27 30, Mixed Review 60 Exercises 11, 12, 14 16, 18 23, Test Prep 51, 52 Exercises 2 22 even, odd Exercises 6 20 even, odd, 42, 43, 51 Exercises 1 39 odd, Exercises 33 43, 47 49, even Test Prep 82 A2.PS.4, A2.RP.1, A2.CN.3 A2.S.7, A2.A.40, A2.A.41 A2.A.46 A2.A.7 p. 5
6 Semester 1 Lesson 55: Quadratic Equations Day 33 Part 1: Solving by Factoring and Finding Square Roots Part 2: Solving by Graphing How do we solve quadratic equations that can be factored? Lesson 56: Complex Numbers Day 34 Day 35 Part 1: Identifying Complex Numbers Part 2: Operations with Complex Numbers What is the square root of a negative number? How do we add and multiply complex numbers? Lesson 57: Completing the Square Day 36 Part 1: Solving Equations by Completing the Square How can we solve a quadratic equation in standard form when the quadratic expression is not factorable? Day 37 Part 2: Rewriting a Function by Completing the Square How can we apply the technique of completing the square? Lesson 58: The Quadratic Formula Day 38 Part 1: Using the Quadratic Formula How do we solve quadratic equations using the quadratic formula? Day 39 Part 2: Using the Discriminant What are the relationships between the discriminant and the solutions to a quadratic equation? Solving quadratic equations by factoring completely and by graphing. Recognizing imaginary and complex numbers. Simplifying sums and products of complex numbers. Solving quadratic equations by completing the square. Rewriting a quadratic function in vertex form. Deriving and using the quadratic formula. Using the discriminant to determine the nature of the roots of a quadratic equation. pp : Exercises 6, 12, 17, 29, 36 pp : Exercises 10, 14, 22, 55 pp : Examples 4 8 Quick Check 4 8 Exercises 24, 29, 41, 65 pp : Exercises 2, 17, 25, 56 pp : Examples 6, 7 Quick Check 6, 7 Exercises 28, 34, 37, 49 pp : Exercises 9, 16, 29, 45 pp : Examples 5, 6 Quick Check 5, 6 Exercises 31 33, 57 Exercises 1 11 odd, even, 35, 37, 51, 52, 54 Exercises 1 9, Exercises 25 28, even, 42, 43, 47, 51, 52, Exercises 1 11, ood, even, 40, 41, 53 Exercises 29 33, 35, 36, 38, 39, 50 Challenge 57 Test Prep: 64, 65 Exercises 2 12 even, odd, even, 41 43, 49, 56, 68 Exercises 34 40, 55, 58 63, 65, 66 Test Prep 76, 77 A2.A.7 A2.N.6, A2.N.7, A2.N.9 A2.A.24, A2.N.6 A2.A.2, A2.A.25, A2.N.6 p. 6
7 Semester 1 Text: Chapter 6: Polynomials and Polynomial Functions Lesson 61: Polynomial Functions Day 40 Part 1: Exploring Polynomial Functions Part 2: Modeling Data With a Polynomial Function How is the shape of the graph of a polynomial function related to the degree of the polynomial? Lesson 62: Polynomials and Linear Factors Day 41 Part 1: The Factored Form of a Polynomial How do we write a polynomial in factored form? Day 42 Part 2: Factors and Zeros of a Polynomial Function What is the connection between the factors of a polynomial and the zeros of the related polynomial function? Lesson 63: Dividing Polynomials Day 43 Part 1: Using Long Division How do we use long division to divide polynomials? Day 44 Part 2: Using Synthetic Division What is synthetic division, and how can we use it to divide polynomials? Lesson 64: Solving Polynomial Equations Day 45 Part 1: Solving Equations by Graphing How can we use graphing to solve polynomial equations of degree greater than two? Classifying polynomials, and modeling data using polynomial functions. Analyzing the factored form of a polynomial. Writing a polynomial function from its zeros. Dividing polynomials using long division. Dividing polynomials using synthetic division. Using graphing to find the solutions to polynomial equations of higher degree. pp : Exercises 10, 14, 23, 45 pp : Exercises 4, 10, 13, 38 pp : Examples 4 6 Quick Check 4 6 Exercises 16, 21, 34, 51 pp : Exercises 1, 2, 9, 35 pp : Examples 3 5 Quick Check 3 5 Exercises 13, 23, 26, 50 pp : Exercises 1, 2, 10, 33 Exercises 1 17 odd, even, 31, 43, 44, 46, 47 Exercises 1 11 odd, 14, 15, 39, 40, odd Exercises 17 20, even, odd, Test Prep 66, 67, 69 Exercises 3 8, 10 12, Exercises 15 22, 24, 25, odd, 42 49, 52, 53 Exercises 3 9, 11, 34 39, A2.A.40, A2.A.41, A2.S.6 A2.A.7, A2.A.26 A2.A.7, A2.A.26 A2.A.26 p. 7
8 Semester 1 p. 8 Day 46 Part 2: Solving Equations by Factoring How can we use factoring to solve polynomial equations of degree greater than two? Lesson 65: Theorems About Roots of Polynomial Equations Day 47 Part 1: The Rational Root Theorem Part 2: Irrational Root Theorem and Imaginary Root Theorem How can we solve equations using the Rational Root Theorem, the Irrational Root Theorem, and the Imaginary Root Theorem? Lesson 66: The Fundamental Theorem of Algebra Day 48 Part 1: The Fundamental Theorem of Algebra How do we use the Fundamental Theorem of Algebra to solve polynomial equations with complex roots? Lesson 67: Permutations and Combinations Day 49 Part 1: Permutations How do we solve problems Part 2: Combinations involving combinatorial analysis? Lesson 68: The Binomial Theorem Day 50 Part 1: Binomial Expansion and Pascal s Triangle Part 2: The Binomial Theorem How can we find any given term in a binomial expansion? Text: Chapter 7: Radical Functions and Rational Exponents Lesson 71: Roots and Radical Expressions Day 51 Part 1: Roots and Radical Expressions How do we simplify radical expressions? Using factoring to find the solutions to polynomial equations of higher degree. Using the Rational Root Theorem to find the rational roots of a polynomial equation and using conjugates to find irrational roots of a polynomial equation. Using the Fundamental Theorem of Algebra to find all zeros of polynomial function. Finding permutations and combinations. Expanding a binomial using Pascal s Triangle and the Binomial Theorem pp : Examples 3 6 Quick Check 3 6 Exercises 15, 22, 29, 44 pp : Exercises 1, 7, 24, 30 pp : Exercises 1, 7, 15, 27 pp : Exercises 11, 27, 32, 39 pp : Exercises 11, 13, 21, 46 Simplifying n th roots. pp L Exercises 15, 25, 30, 34 Exercises even, 40, 41, odd Exercises 2 12 even, odd, Exercises 2 6, 9 14, Exercises 1 9 odd, even, 29 31, 40, 46 49, 55 Exercises 2 12 even, odd, odd, 43 45, 48, 54, 61 Exercises 2 28 even, odd, 38, odd A2.A.26 A2.N.8 A2.CN.8 A2.S.10, A2.S.22 A2.A.36, A2.S.11 A2.A.8, A2.A.13
9 Semester 1 Lesson 72: Multiplying and Dividing Rational Expressions Day 52 Part 1: Multiplying Radical Expressions How do we multiply radical expressions? Learning how to multiply radical expressions. Day 53 Part 2: Dividing Radical Expressions How do we divide radical expressions? Lesson 73: Binomial Radical Expressions Day 54 Part 1: Adding and Subtracting Radical Expressions How do we add and subtract radical expressions? Day 55 Part 2: Multiplying and Dividing Binomial Radical Expressions How do we multiply and divide radical expressions? Lesson 74: Rational Exponents Day 56 Part 1: Simplifying Expressions With Rational Exponents How do we simplify expressions with fractional exponents? Rationalizing the denominator. Lesson 75: Solving Square Root and Other Radical Equations Day 57 Part 1: Solving Radical Equations Lesson 76: Function Operations Day 58 Part 1: Operations With Functions Part 2: Composition of Functions How do we solve radical equations and check for extraneous roots? How do we perform operations on functions, including addition, subtraction, multiplication, division, and composition? Performing addition and subtraction of radical expressions. Performing multiplication and division of radical expressions. Rewriting algebraic expressions with fractional exponents in simplest form. pp : Exercises 3, 13, 22, 56 pp : Examples 4 6 Quick Check 4 6 Exercises 25, 28, 35, 36 pp : Exercises 5, 6, 10, 31 pp : Examples 4 6 Quick Check 4 6 Exercises 15, 19, 23, 40 pp : Exercises 10, 34, 46, 69 Solving radical equations. pp : Exercises 11, 13, 22, 33 Performing function addition, subtraction, multiplication, division, and composition. pp : Exercises: 7, 19, 40, 62 Exercises 1, 2, 4 12, 14 21, odd, 58 Exercises 23, 24, 26 34, 46 55, 60 Exercises 1 4, 7 9, 11, 12, 27 30, 32 Mixed Review Exercises even, odd Test Prep Exercises 5 45 odd, 62, even Exercises 1 20 even, odd, 32, 40, 41 Exercises 2 30 even, odd, 53, 58, 59, 71 A2.A.13, A2.A.14, A2.A.15 A2.N.5, A2.A.13, A2.A.14 A2.A.10, A2.A.11 A2.A.11, A2.A.22 A2.A.40, A2.A.41, A2.A.42 p. 9
10 Semester 1 Lesson 77: Inverse Relations and Functions Day 59 Part 1: The Inverse of a Function How do we determine the inverse of a function? Finding the inverse of a relation or function. Lesson 78: Graphing Square Root and Other Radical Functions Day 60 Part 1: Radical Functions How can we use transformations to graph radical functions? Graphing square root and other radical functions. pp : Examples 1 6 Quick Check 1 6 Exercises 9, 14, 25, 29, 41 pp : Examples 1 6 Quick Check 1 6 Exercises 1, 5, 15, 20, 29, 48 Exercises 1, 2, 6 12 even, odd, even, 31 34, 37, 38, 44, 51 Exercises 2 16 even, 21, 22, 24 26, 31, 32, odd, A2.A.41, A2.A.44, A2.A.45 A2.A.46 p. 10
11 Semester 2 Text: Chapter 8: Exponential and Logarithmic Functions Lesson 8 1: Exploring Exponential Models Day 61 Day 62 Part 1: Exponential Growth Part 2: Exponential Decay How do we model exponential growth? How do we model exponential decay? Lesson 82: Properties of Exponential Functions Day 63 Part 1: Comparing Graphs What are the roles of the constants in y = ab cx? Day 64 Part 2: The Number e How do we use e as a base in a logarithm? Lesson 83: Logarithmic Functions as Inverses Day 65 Part 1: Writing and Evaluating Logarithmic Expressions How do we evaluate logarithmic expressions? Day 66 Part 2: Graphing Logarithmic Functions How do we graph logarithmic functions? Text: Lesson 84: Properties of Logarithms Day 67 Part 1: Using the Properties of Logarithms What are the properties of logarithms and how can we use them? Graphing functions of the form y = b x, where b > 1. Graphing functions of the form y = b x, where 0 < b < 1. Graphing the family of exponential functions. Evaluating exponential expressions with base e. Evaluating logarithmic expressions. Graphing logarithmic functions using the inverse of the related exponential function. Applying the properties of logarithms to rewrite logarithmic expressions. pp : Exercises 1, 5, 10, 36 pp : Examples 4 6 Quick Check 4 6 Exercises 16, 17, 34, 41 pp : Exercises 5, 9, 16, 35 pp : Examples 4, 5 Quick Check 4, 5 Exercises 18, 19, 25, 36 pp : Exercises 2, 13, 14, 26, 53 pp : Examples 5 6 Quick Check 5 6 Exercises 35, 40, 75 pp : Exercises 15, 25, 32, 41 Exercises 2 4, 6 9, 11 15, 54, 55 Exercises 18 33, 35, 37 40, 43, 44 Exercises 2 14 even, 15, 17, 27 29, 32 34, 38 Exercises 20 24, 26, 30, 37, Exercises 2 12 even, odd, 41, 48 50, Exercises 36 39, 52, Exercises 1 9 odd, even, 31, odd, 42, 56, 57, 72, 75 p. 1 A2.A.6, A2.A.53 A2.A.12, A2.A.53 A2.A.18, A2.A.44, A2.A.54 A2.A.18, A2.A.19
12 Semester 2 Lesson 85: Exponential and Logarithmic Equations Day 68 Part 1: Solving Exponential Equations How do we solve exponential equations? Day 69 Part 2: Solving Logarithmic Equations Lesson 86: Natural Logarithms Day 70 Part 1: Natural Logarithms Part 2: Natural Logarithmic and Exponential Equations Text: Chapter 9: Rational Functions Lesson 9 1: Inverse Variation Day 71 Part 1: Using Inverse Variation Part 2: Using Joint and Other Variations (Optional) How do we solve logarithmic equations? What is the graph of the natural logarithmic functions, and how do we solve exponential equations? How can we use inverse variation? Text: Lesson 92: The Reciprocal Function Family (Optional) Lesson 93: Rational Functions and Their Graphs (Optional) Text: Lesson 94: Rational Expressions Day 72 Part 1: Rational Expressions Part 2: Multiplying and Dividing Rational Expressions How do we simplify, multiply, and divide rational expressions? Solving exponential equations by taking the logarithm of each side. Applying the Change of Base Formula. Graphing natural logarithmic functions and solving exponential equations. Using inverse variation to solve for unknown values. Simplifying rational expressions by factoring polynomials. pp : Exercises 14, 18, 24, 50 pp : Examples 5 7 Quick Check 5 7 Exercises 26, 34, 47, 55 pp : Exercises 8, 18, 30, 56 pp : Exercises 5, 11, 14, 49 pp : Exercises 5, 12, 15, 23 Exercises 1 23 odd, 49, 53, 54, 58, 60 Exercises odd, 42 46, 56 59, 64, odd, 76, 77 Exercises 1 21 odd, 23 29, 40, 44, odd Exercises 1 12 even, 13, 15, even, 35, 43 48, 52 Exercises 1 4, 6 11, even, 26, odd p. 2 A2.A.18, A2.A.19 A2.A.27, A2.A.53 A2.A.5 A2.A.7, A2.A.17
13 Semester 2 Lesson 95: Adding and Subtracting Rational Expressions Day 73 Part 1: Adding and Subtracting Rational Expressions How do we add and subtract rational expressions? Performing addition and subtraction with rational expressions. Day 74 Part 2: Simplifying Complex Fractions How do we simplify complex fractions? Lesson 96: Solving Rational Equations Day 75 Part 1: Solving Rational Equations Activity Lab: Rational Inequalities pp How do we solve rational equations and inequalities? Day 76 Part 2: Using Rational Equations How can we use rational equations to solve problems? Text: Lesson 97: Probability of Multiple Events Day 77 Part 1: Finding P(A and B) Part 2: Finding P(A or B) How do we find the probability of independent, dependent, and mutually exclusive events? Text: Chapter 10: Quadratic Relations and Conic Sections Text: Lesson 101: Exploring Conic Sections (Optional) Text: Lesson 102: Parabolas (Optional) Simplifying complex fractional expressions. Solving rational equalities and inequalities. Applying rational equations. Calculating theoretical probabilities. pp : Exercises 9, 14, 18, 37 p. 516: Example 5 Quick Check 5 Exercises 23, 29, 44 pp : Exercises 2, 19, 47 pp , Activity Lab: Activity 1 pp : Examples 3, 4 Quick Check 3, 4 Exercises 23, 32 pp : Exercises 4, 10, 20, 30 Exercises 1 8, odd, even, 43 Exercises even, odd, 52, 54 Exercises 1 9 odd, even, odd, even pp : Activities 2 and 3, Exercises 1113, 15 Exercises 22, 24, 25, 33 38, 53, 55 Exercises 1 3, 5 25 odd, 36 40, 45 p. 3 A2.N.3, A2.A.17 A2.A.7, A2.A.17, A2.A.23
14 Semester 2 Lesson 103: Circles Day 78 Part 1: Writing the Equation of a Circle Day 79 Part 2: Using the Center and Radius of a Circle What is the standard form of an equation of a circle? How do we graph an equation of a circle? Lesson 104: Ellipses (Optional) Lesson 105: Hyperbolas (Optional) Lesson 106: Translating Conic Sections (Optional) Text: Chapter 11: Sequences and Series Text: Lesson 111: Mathematical Patterns Day 80 Part 1: Identifying Mathematical Patterns Part 2: Using Formulas to Generate Mathematical Patterns How do we use a formula to find the n th term of a sequence? Lesson 112: Arithmetic Sequences Day 81 Part 1: Identifying and Generating Arithmetic Sequences How do we identify an arithmetic sequence? Lesson 113: Geometric Sequences Day 82 Part 1: Identifying and Generating Geometric Sequences How do we identify a geometric sequence? Writing an equation of a circle in standard form. Finding the center and radius of a circle, and using them to graph a circle. Specifying terms of a sequence. Identifying an arithmetic sequence and using the arithmetic mean. Identifying a geometric sequence and using the geometric mean. pp : Exercises 5, 15, 17, 46 pp : Examples 4, 5 Quick Check 4, 5 Exercises 21, 29, 59 pp : Exercises 8, 16, 20, 40 pp : Exercises 1, 2, 18, 60 pp : Exercises 3, 20, 26, 38 Exercises 2 18 even, odd, odd Exercises 19, 20, 22 28, 30 34, 55 58, Exercises 1 23 odd, even, 45, 49 Exercises 3 29 odd, even, 47, 51, 55, 62 Exercises 2 12 even, odd p. 4 A2.A.47, A2.A.48, A2.A.49 A2.A.29, A2.A.32, A2.A.33 A2.A.29, A2.A.30, A2.A.32 A2.A.31, A2.A.32
15 Semester 2 Lesson 114: Arithmetic Series Day 83 Day 84 Part 1: Writing and Evaluating Arithmetic Series Part 2: Using Summation Notation How do we determine the sum of the first n terms of an arithmetic series? How do we apply summation notation? Lesson 115: Geometric Series Day 85 Part 1: Evaluating a Finite Geometric Series Part 2: Evaluating an Infinite Geometric Series How do we evaluate finite and infinite geometric series? Lesson 116: Area Under a Curve (Optional) Text: Chapter 12: Probability and Statistics Text: Lesson 121: Probability Distributions (Optional) Lesson 122: Conditional Probability (Optional) Lesson 123: Analyzing Data Day 86 Part 1: Measures of How do we find mean, Central Tendency median, and mode? Part 2: Boxand Whisker Plots How do we use boxandwhisker plots to compare sets of data? Lesson 124: Standard Deviation Day 87 Part 1: Finding Standard Deviation How do we find the standard deviation of a set of values? Day 88 Part 2: Using Standard Deviation How do we use standard deviation to describe data? Finding the sum of a finite arithmetic series. Knowing and applying sigma notation. Using formulas to evaluate finite geometric series and convergent infinite geometric series. Calculating measures of central tendency and measures of dispersion. Calculating standard deviation. Using standard deviation on realworld situations. pp : Exercises 1, 10, 32 p. 621: Examples 3, 4 Quick Check 3, 4 Exercises 13, 18, 22, 34 pp : Exercises 8, 9, 22, 34 pp : Examples 1 6 Quick Check 1 6 Exercises 2, 6, 9, 14 pp : Exercises 2, 4, 6, 28 pp : Examples 4, 5 Quick Check 4, 5 Exercises 8, 11, 20 Exercises 2 9, 11, 12, 25 31, Exercises 14 17, 19 21, 23, 24, Exercises 1 7 odd, even, odd, 30, 32, 35, 38 Exercises 1, 3, 4, 5, 7, 8, 10 13, Exercises 1 7 odd, 15 19, Exercises 9, 10, 12 14, 21, 27 p. 5 A2.N.10, A2.A.34, A2.A.35 A2.S.3, A2.S.4 A2.S.4
16 Semester 2 Lesson 125: Working with Samples Day 89 Part 1: Sample Proportions What is a random sample? Day 90 Part 2: Sample Size and Margin of Error How do we find the margin of error? Lesson 126: Binomial Distributions Day 91 Part 1: Finding Binomial Probabilities What is the binomial probability formula? Day 92 Part 2: Using a Binomial Distribution How do we use binomial distributions? Lesson 127: Normal Distributions Day 93 Part 1: Using a Normal Distribution What are the characteristics of a normal distribution? Day 94 Part 2: Using the Standard Normal Curve How do we determine for a normal distribution the percent of data within a given interval? Determining whether there is bias in a given sample. Finding and using the margin of error. Using the binomial probability formula. Using a binomial distribution. Using and sketching a normal curve. Using the normal distribution as an approximation for binomial probabilities. pp : Exercises 3, 6, 23 pp : Examples 3 5 Quick Check 3 5 Exercises 11, 12, 16, 26 pp : Exercises 1, 7, 8, 24 pp : Example 4 Quick Check 4 Exercises 12, 25 pp : Exercises 1, 6, 28 pp : Examples 3, 4 Quick Check 3, 4 Exercises 9, 11, 14, 19 Exercises 1, 2, 4, 5, 24, 25 Mixed Review Exercises 7 10, 13 15, 17 22, Test Prep 34, 35 Exercises 2 6, 9 11, 18 21, 24, 26 Exercises 13 17, 22 Test Prep Exercises 2 7, 8 10, 17, 27 Mixed Review Exercises 10, 12, 13, 15, 16, 18, Test Prep p. 6 A2.S.2, A2.S.4 A2.S.13, A2.S.15 A2.S.5, A2.S.16
17 Semester 2 Chapter 13: Periodic Functions and Trigonometry Lesson 131: Exploring Periodic Data Day 95 Day 96 Part 1: Identifying Periodic Functions Part 2: Finding the Amplitude of a Periodic Function What are the characteristics of a periodic function? How do we find the amplitude of a periodic function given its graph? Lesson 132: Angles and the Circle Day 97 Part 1: Working With Angles in Standard Position How do we measure and sketch angles in the standard position? Day 98 Part 2: Using the Circle Lesson 133: Radian Measure Day 99 Part 1: Using Radian Measure Day 100 Part 2: Finding the Length of an Arc How do we find coordinates of points on the unit circle? What are two methods to convert between degrees and radians? How do we find the length of an arc? Identifying periodic functions, their cycles, and periods. Determining the amplitude of a periodic function. Sketching and using the reference angle for angles in standard position. Sketching the unit circle and representing angles in standard position. Converting between radian and degree measures of angles. Determining the length of an arc of a circle. pp : Exercises 1, 6, 17 pp : Examples 3, 4 Quick Check 3, 4 Exercises 10, 16 pp : Exercises 1, 8, 15, 37 pp : Examples 4, 5 Quick Check 4, 5 Exercises 22, 28, 51 pp : Exercises 1, 8, 14, 40 pp : Examples 4, 5 Quick Check 4, 5 Exercises 20, 27, 29 Exercises 2 5, 7 9, 18 20, Exercises 11 15, 21, 22 Test Prep Exercises 2 11 odd, 16 20, even Exercises 21, 23 27, 29 36, 50 Test Prep Exercises 2 6 even, 7 19 odd, odd, 44, 46 Exercises 21 26, 28, 30, 45, 47, 48, 50, 51 Test Prep p. 7 A2.A.69 A2.A.57, A2.A.60 2.A.61, A2.M.1, A2.M.2
18 Semester 2 p. 8 Lesson 134: The Sine Function Day 101 Part 1: Interpreting Sine Functions What are the properties of sine functions? Day 102 Part 2: Graphing Sine Functions How do you graph a sine function given its rule? Lesson 135: The Cosine Function Day 103 Part 1: Graphing and Writing Cosine Functions What are the properties of cosine functions? Day 104 Part 2: Solving Trigonometric Equations How can we solve a cosine equation? Lesson 136: The Tangent Function Day 105 Part 1: Graphing the Tangent Function What are the properties of tangent functions? Lesson 137: Translating Sine and Cosine Functions Day 106 Part 1: Graphing Translations of Trigonometric Functions How do we use phase shift to graph a horizontal translation of a trigonometric function? Day 107 Part 2: Writing Equations of Translations How do we write an equation to describe a translation? Finding the period and amplitude of sine curves. Sketching the graph of a sine function. Finding the period and amplitude of cosine curves. Using a graphing calculator to solve a cosine equation. Sketching the graph of y = tan θ. pp : Exercises 1, 12, 15, 42 pp : Examples 5 7 Quick Check 5 7 Exercises 16, 26, 33, 40 pp : Exercises 1, 8, 25 pp : Examples 3, 4 Quick Check 3, 4 Exercises 10, 13, 16, 33 pp : Exercises 1, 11, 16, 22 Determining phase shift. pp : Exercises 9, 18, 28, 45 Using a graph to find the values of a, b, h, and k in y = a cos b(x h) + k. pp : Examples 5, 6 Quick Check 5, 6 Exercises 31, 37, 38 Exercises 2 11, 13, 14, 34 39, 43, 44 Exercises 17 25, 27 32, 41, Exercises 2 7, 9, 22 24, Mixed Review Exercises 11, 12, 14, 15, 17 21, 30 32, 34, 35 Exercises 2 10 even, 12 15, 17 21, 23, 25, 26, 28, 29, 30, Exercises 1, 2, 5 8, 10 14, 19 27, 29, 30 Exercises 32 36, 39 44, 46 Test Prep A2.A.56, A2.A.69 A2.A.56, A2.A.70 A2.A.71 A2.A.69, A2.A.70
19 Semester 2 Lesson 138: Reciprocal Trigonometric Functions Day 108 Part 1: Evaluating Reciprocal Trigonometric Functions What are the cosecant, secant, and cotangent functions? Day 109 Part 2: Graphing Reciprocal Trigonometric Functions How do we graph the cosecant, secant, and cotangent functions? Chapter 14: Trigonometric Identities and Equations Lesson 141: Trigonometric Identities Day 110 Part 1: Verifying Trigonometric Identities What are the Pythagorean identities? Lesson 142: Solving Trigonometric Equations Using Inverses Day 111 Part 1: Inverses of Trigonometric Functions Day 112 Part 2: Solving Trigonometric Equations How do we evaluate inverses of trigonometric functions? How do we solve trigonometric equations? Lesson 143: Right Triangles and Trigonometric Ratios Day 113 Part 1: Right Triangles and Trigonometric Ratios Day 114 Part 2: Finding the Measures of Angles in a Right Triangle How are the sides of a right triangle related to the six trigonometric functions? How do we use trigonometry to find the measures of angles in a right triangle? Evaluating the cosecant, secant, and cotangent functions. Graphing the cosecant, secant, and cotangent functions. Justifying the Pythagorean identities. Restricting the domain of trigonometric functions to ensure the existence of an inverse function. Using inverse trig functions to solve trigonometric equations. Expressing trigonometric functions in terms of the sides of a right triangle. Using inverses of trigonometric functions to find measures of the acute angles in a right triangle. pp : Exercises 5, 9, 26, 43 pp : Examples 4 6 Quick Check 4 6 Exercises 29, 38, 39, 41 pp : Exercises 1, 20, 32 pp : Exercises 1, 6, 13 pp : Examples 5 7 Quick Check 5 7 Exercises 21, 26, 34, 43 pp : Exercises 4, 5, 34 p. 795: Examples 4, 5 Quick Check 4, 5 Exercises 9, 15, 18, 40 Exercises 2 20 even, odd, 44 49, Exercises 30 37, 40, 50 53, 59, 60, odd Exercises 2 18 even, odd Exercises 2 5, 7 11, 14, 15 Mixed Review Exercises even, odd, 44, even, 62 Exercises 1 3, 6 8, 25 33, Exercises 10 14, 19 23, 35 39, 41, 48 p. 9 A2.A.58, A2.A.71 A2.A.58, A2.A.57 A2.A.63, A2.A.68 A2. A.55, A2.A.56
20 Semester 2 Lesson 144: Area and the Law of Sines Day 115 Part 1: Area and the Law of Sines Extension p. 807: The Ambiguous Case Given two angle measures and one side length, how can we find the remaining measures and lengths? Lesson 145: Law of Cosines Day 116 Part 1: The Law of Cosines How do we apply the Law of Cosines to find missing measures in any triangle? Lesson 146: Angle Identities Day 117 Part 1: Angle Identities How do we verify and use angle identities? Day 118 Part 2: Sum and Difference Identities How do we verify and use sum and difference identities? Lesson 147: DoubleAngle and HalfAngle Identities Day 119 Part 1: DoubleAngle Identities How do we verify and use the doubleangle identities? Day 120 Part 2: HalfAngle Identities How do we verify and use the halfangle identities? Applying the Law of Sines. pp : Exercises 4, 8, 11, 28 p. 807: Example Solving for an unknown side or angle using the Law of Cosines. Using identities to simplify and manipulate trigonometric expressions. Applying the angle sum and difference formulas. Applying the doubleangle formula. Applying the halfangle formula. pp : Exercises 4, 7, 16, 47 pp : Exercises 4, 12, 16, 50 pp : Examples 4, 5 Quick Check 4, 5 Exercises 18, 21, 22, 43 pp : Exercises 1, 10, 33 pp : Examples 3, 4 Quick Check 3, 4 Exercises 16, 19, 38 Exercises 1 9 odd, even, even p. 807, Exercises 1 7 Exercises 1 5 odd, 8 12 even, odd, even Exercises 1 5, 7 11, 13 15, 52 Mixed Review Exercises 17, 19, even, odd Test Prep Exercises 3 9, 27 29, 34 37, Exercises 11 15, 17, 18, 20 26, 30 32, 39 41, 47 A2.A.73, A2.A.74 A2.A.75 A2.A.66, A2.A.73 A2.A.56, A2.A.76 A2.A.56, A2.A.77 p. 10
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