### 1: Graphs

#### 1.1: The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations

Distance Formula - Activity A

Points, Lines, and Equations

#### 1.2: Intercepts; Symmetry; Graphing Key Equations

Slope-Intercept Form of a Line - Activity A

#### 1.3: Solving Equations Using a Graphing Utility

Solving Equations By Graphing Each Side

#### 1.4: Lines

Point-Slope Form of a Line - Activity A

Slope-Intercept Form of a Line - Activity A

Standard Form of a Line

#### 1.5: Circles

Circles

### 2: Functions and Their Graphs

#### 2.1: Functions

Function Machines 1 (Functions and Tables)

Introduction to Functions

Linear Functions

#### 2.2: The Graph of a Function

Function Machines 2 (Functions, Tables, and Graphs)

#### 2.5: Graphing Techniques; Transformations

Translating and Scaling Functions

#### 2.6: Mathematical Models: Building Functions

Dye Elimination

Half-life

Simple and Compound Interest

### 3: Linear and Quadratic Functions

#### 3.1: Linear Functions and Their Properties

Linear Functions

#### 3.2: Linear Models: Building Linear Functions from Data

Correlation

Lines of Best Fit Using Least Squares - Activity A

#### 3.3: Quadratic Functions and Their Properties

Quadratic Functions

### 4: Polynomial and Rational Functions

#### 4.1: Polynomials Functions and Models

Cubic Function Activity

Zap It! Game

#### 4.2: The Real Zeros of a Polynomial Function

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

#### 4.4: Properties of Rational Functions

General Form of a Rational Function

Rational Functions

#### 4.5: The Graph of a Rational Function

General Form of a Rational Function

Rational Functions

### 5: Exponential and Logarithmic Functions

#### 5.3: Exponential Functions

Exponential Functions - Activity A

#### 5.4: Logarithmic Functions

Logarithmic Functions - Activity A

#### 5.5: Proprieties of Logarithms

Logarithmic Functions: Translating and Scaling

#### 5.8: Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models

Dye Elimination

Exponential Growth and Decay - Activity A

Half-life

#### 5.9: Building Exponential, Logarithmic, and Logistic Models from Data

Dye Elimination

Half-life

Simple and Compound Interest

### 6: Trigonometric Functions

#### 6.2: Trigonometric Functions: Unit Circle Approach

Unit Circle

#### 6.4: Graphs of the Sine and Cosine Functions

Cosine Function

Sine Function

#### 6.5: Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions

Tangent Function

#### 6.6: Phase Shift, Sinusoidal Curve Fitting

Translating and Scaling Sine and Cosine Functions - Activity A

### 7: Analytic Trigonometry

#### 7.4: Trigonometric Identities

Simplifying Trigonometric Expressions

#### 7.5: Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

### 9: Polar Coordinates; Vectors

#### 9.1: Polar Coordinates

Points in Polar Coordinates

#### 9.3: The Complex Plane; De Moivre's Theorem

Complex Numbers in Polar Form

#### 9.4: Vectors

Vectors

### 10: Analytic Geometry

#### 10.2: The Parabola

Parabolas - Activity A

#### 10.3: The Ellipse

Ellipse - Activity A

#### 10.4: The Hyperbola

Hyperbola - Activity A

### 11: Systems of Equations and Inequalities

#### 11.1: Systems of Linear Equations: Substitution and Elimination

Systems of Linear Equations - Activity A

#### 11.7: Systems of Inequalities

Systems of Linear Inequalities (Slope-intercept form) - Activity A

Systems of Linear Inequalities (Standard form)

#### 11.8: Linear Programming

Linear Programming - Activity A

### 12: Sequences; Induction; the Binomial Theorem

#### 12.2: Arithmetic Sequences

Arithmetic Sequences

#### 12.3: Geometric Sequences; Geometric Series

Geometric Sequences

### 13: Counting and Probability

#### 13.2: Permutations and Combinations

Permutations and Combinations

#### 13.3: Probability

Compound Independent Events

Probability Simulations

Theoretical and Experimental Probability

### 14: A Preview of Calculus: The Limit, Derivative, and Integral of a Function

#### 14.5: The Area Problem; The Integral

Riemann Sum