### 1: Graphs

#### 1.4: Solving Equations

Solving Formulas for any Variable

#### 1.5: Solving Inequalities

Solving Linear Inequalities using Addition and Subtraction

Solving Linear Inequalities using Multiplication and Division

#### 1.6: Lines

Slope-Intercept Form of a Line - Activity B

### 2: Functions and Their Graphs

#### 2.1: Functions

Introduction to Functions

#### 2.2: Linear functions and Models

Linear Functions

#### 2.5: Graphing Techniques: Transformations

Translating and Scaling Functions

### 3: Polynomial and Rational Functions

#### 3.1: Quadratic Functions and models

Quadratics in Polynomial Form - Activity A

#### 3.3: Polynomial Functions and Models

Fourth-Degree Polynomials - Activity A

#### 3.4: Rational Functions I

Rational Functions

#### 3.5: Rational Functions II: Analyzing Graphs

General Form of a Rational Function

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

Polynomials and Linear Factors

### 4: Exponential and Logarithmic functions

#### 4.1: Exponential Functions

Exponential Functions - Activity B

#### 4.2: Logarithmic Functions

Logarithmic Functions - Activity A

#### 4.5: Compound Interest

Simple and Compound Interest

#### 4.6: Growth and decay

Drug Dosage

Exponential Growth and Decay - Activity A

### 5: Trigonometric Functions

#### 5.2: Trigonometric Functions: Unit Circle Approach

Unit Circle

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

Cosine Function

Sine Function

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

Tangent Function

#### 5.6: Phase Shifts; Sinusoidal Curve Fitting

Translating and Scaling Sine and Cosine Functions - Activity A

### 6: Analytic Trigonometry

#### 6.4: Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

### 7: Applications of Trigonometric Functions

#### 7.1: Right Triangle Trigonometry

Addition of Polynomials - Activity B

Tangent Ratio

#### 7.5: Simple Harmonic Motion; Damped Motion; Combining Waves

Period of Mass on a Spring

Simple Harmonic Motion

Sound Beats and Sine Waves

### 8: Polar Coordinates; Vectors

#### 8.1: Polar Coordinates

Points in Polar Coordinates

#### 8.4: Vectors

Vectors

### 9: Analytic Geometry

#### 9.2: The Parabola

Parabolas - Activity A

#### 9.3: The Ellipse

Ellipse - Activity A

#### 9.4: The Hyperbola

Hyperbola - Activity A

### 10: Systems of Equations and Inequalities

#### 10.1: Systems of Linear Equations: Two equations Containing Two Variables

Modeling Linear Systems - Activity B

Systems of Linear Equations - Activity A

#### 10.8: Systems of Inequalities

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

#### 10.9: Linear Programming

Linear Programming - Activity A

### 11: Sequences; Induction; The Binomial Theorem

#### 11.2: Arithmetic Sequences

Arithmetic Sequences

#### 11.3: Geometric Sequences; Geometric Series

Geometric Sequences

### 12: Counting and Probability

#### 12.2: Permutations and Combinations

Permutations

#### 12.4: Obtaining Probabilities from Data

Theoretical and Experimental Probability

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

#### 13.5: The Area Problem; the Integral

Riemann Sum