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Chapter 1: Equations and
Inequalities
11 Real Numbers and Number Operations; 12
Algebraic Expressions and Models;
13 Solving Linear Equations;
14 Rewriting Equations and Formulas;
15 Problem Solving Using Algebraic Models;
16 Solving Linear Inequalities;
17 Solving Absolute Value Equations and Inequalities
Chapter 2: Linear Equations and
Functions
21 Functions and Their Graphs; 22
Slope and Rate of Change; 23
Quick Graphs of Linear Equations; 24
Writing Equations of Lines; 25
Correlation and BestFitting Lines; 26
Linear Inequalities in Two Variables; 27
Piecewise Functions; 28
Absolute Value Functions
Chapter 3: Systems of Linear
Equations and Inequalities
31 Solving Linear Systems by Graphing; 32
Solving Linear Systems Algebraically; 33
Graphing and Solving Systems of Linear Inequalities;
34
Linear Programming; 35
Graphing Linear Equations in Three Variables; 36
Solving Systems of Linear Equations in Three Variables
Chapter 4: Matrices and
Determinants
41 Matrix Operations; 42
Multiplying Matrices; 43
Determinants and Cramer's Rule; 44
Identity and Inverse Matrices; 45
Solving Systems Using Inverse Matrices
Chapter 5: Quadratic Functions
51 Graphing Quadratic Functions; 52
Solving Quadratic Equations by Factoring; 53
Solving Quadratic Equations by Finding Square Roots;
54
Complex Numbers; 55
Completing the Square; 56
The Quadratic Formula and the Discriminant; 57
Graphing and Solving Quadratic Inequalities;
Chapter 6: Polynomials and
Polynomial Functions
61 Using Properties of Exponents; 62
Evaluating and Graphing Polynomial Functions; 63
Adding, Subtracting, and Multiplying Polynomials;
64
Factoring and Solving Polynomial Equations; 65
The Remainder and Factor Theorems; 66
Finding Rational Zeros; 67
Using the Fundamental Theorem of Algebra; 68
Analyzing Graphs of Polynomial Functions; 69
Modeling with Polynomial Functions
Chapter 7: Powers, Roots, and
Radicals
71 nth Roots and Rational Exponents; 72
Properties of Rational Exponents; 73
Power Functions and Function Operations; 74
Inverse Functions; 75
Graphing Square Root and Cube Root Functions; 76
Solving Radical Equations; 77
Statistics and Statistical Graphs
Chapter 8: Exponential and
Logarithmic Functions
81 Exponential Growth; 82
Exponential Decay; 83
The Number
e;
84
Logarithmic Functions; 85
Properties of Logarithms; 86
Solving Exponential and Logarithmic Equations; 87
Modeling with Exponential and Power Functions; 88
Logistic Growth Functions
Chapter 9: Rational Equations and
Functions
91 Inverse and Joint Variation;
92 Graphing Simple Rational Functions; 93
Graphing General Rational Functions; 94
Multiplying and Dividing Rational Expressions; 95
Addition, Subtraction, and Complex Fractions; 96
Solving Rational Equations
Chapter 10: Quadratic Relations and
Conic Sections
101 The Distance and Midpoint Formulas; 102
Parabolas; 103
Circles; 104
Ellipses; 105
Hyperbolas; 106
Graphing and Calssifying Conic Sections; 107
Solving Quadratic Systems
Chapter 11: Sequences and Series
111 An Introduction to Sequences and Series; 112
Arithmetic Sequences and Series; 113
Geometric Sequences and Series; 114
Infinite Geometric Series; 115
Recursive Rules for Sequences
Chapter 12: Probability and
Statistics
121 The Fundamental Counting Principle and Permutations;
122
Combinations and the Binomial Theorem; 123
An Introduction to Probability; 124
Probability of Compound Events; 125
Probability of Independent and Dependent Events; 126
Binomial Distributions; 127
Normal Distributions
Chapter 13: Trigonometric
Ratios and Functions
131 Right Triangle Trigonometry; 132
General Angles and Radian Measure; 133
Trigonometric Functions of Any Angle; 134
Inverse Trigonometric Functions; 135
The Law of Sines; 136
The Law of Cosines; 137
Parametric Equations and Projectile Motion
Chapter 14: Trigonometric Graphs,
Identities, and Equations
141 Graphing Sine, Cosine, and Tangent Functions;
142
Translations and Reflections of Trigonometric Graphs;
143
Verifying Trigonometric Identities; 144
Solving Trigonometric Equations; 145
Modeling with Trigonometric Functions; 146
Using Sum and Difference Formulas; 147
Using Double and HalfAngle Formulas
Chapter 15: Remedial
R25 Correlation and Line of Best Fit Extended Lesson;
R121
Combinations and Permutations Remedial Lesson; R131A
Special Right Triangles Remedial Lesson; R131B
Solving Righ Triangles Using Basic Trigonometric Ratios
Remedial Lesson
