### 1. Linear and Quadratic Functions

#### 1.1. Points and Lines

Distance Formula - Activity A

#### 1.2. Slopes of Lines

Slope-Intercept Form of a Line - Activity B

#### 1.6. Solving Quadratic Equations

Roots of a Quadratic

Quadratics in Factored Form

#### 1.7. Quadratic Functions and Their Graphs

Quadratics in Factored Form

Quadratics in Vertex Form - Activity A

Quadratic Functions

### 2. Polynomial Functions

#### 2.1. Polynomials

Polynomials and Linear Factors

#### 2.2. Synthetic Division; The Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

#### 2.3. Graphing Polynomial Functions

Polynomials and Linear Factors

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

#### 2.4. Finding Maximums and Minimums of Polynomial Functions

Maximize Area

Minimize Perimeter

#### 2.5. Using Technology to Approximate Roots of Polynomial Equations

Fourth-Degree Polynomials - Activity A

### 3. Inequalities

#### 3.1. Linear Inequalities; Absolute Value

Inequalities Involving Absolute Values

#### 3.3. Polynomial Inequalities in Two Variables

Quadratic Inequalities - Activity A

#### 3.4. Linear Programming

Linear Programming - Activity A

### 4. Functions

#### 4.1. Functions

Introduction to Functions

#### 4.3. Reflecting Graphs; Symmetry

Reflections of a Linear Function

Cubic Function Activity

Reflections of a Quadratic Function

#### 4.4. Periodic Functions; Stretching and Translating Graphs

Translating and Scaling Sine and Cosine Functions - Activity A

#### 4.7. Forming Functions From Verbal Descriptions

Maximize Area

Minimize Perimeter

### 5. Exponents and Logarithms

#### 5.1. Growth and Decay: Integral Exponents

Exponential Growth and Decay - Activity B

#### 5.3. Exponential Functions

Exponential Functions - Activity B

#### 5.4. The Number e and the Function e^{x}

Exponential Functions - Activity C

#### 5.5. Logarithmic Functions

Logarithmic Functions - Activity A

#### 5.6. Laws of Logarithms

Logarithmic Functions - Activity A

### 6. Analytic Geometry

#### 6.2. Equations of Circles

Circles

#### 6.3. Ellipses

Ellipse - Activity A

#### 6.4. Hyperbolas

Hyperbola - Activity A

#### 6.5. Parabolas

Parabolas - Activity B

### 7. Trigonometric Functions

#### 7.3. The Sine and Cosine Functions

Unit Circle

Sine Function

Tangent Function

Cosine Function

#### 7.4. Evaluating and Graphing Sine and Cosine

Sine Function

Cosine Function

#### 7.5. The Other Trigonometric Functions

Tangent Function

### 8. Trigonometric Equations and Applications

#### 8.2. Sine and Cosine Curves

Translating and Scaling Sine and Cosine Functions - Activity B

#### 8.3. Modeling Periodic Behavior

Translating and Scaling Sine and Cosine Functions - Activity A

#### 8.4. Relationships Among the Functions

Simplifying and Verifying Trigonometric Functions

#### 8.5. Solving More Difficult Trigonometric Equations

Simplifying and Verifying Trigonometric Functions

### 9. Triangle Trigonometry

#### 9.1. Solving Right Triangles

Sine, Cosine and Tangent

### 10. Trigonometric Addition Formulas

#### 10.1. Formulas for cos(alpha +/- beta) and sin (alpha +/- beta)

Sum and Difference Identities for Sine and Cosine

#### 10.3. Double Angle and Half-Angle Formulas

Sum and Difference Identities for Sine and Cosine

### 11. Polar Coordinates and Complex Numbers

#### 11.1. Polar Coordinates and Graphs

Points in Polar Coordinates

### 12. Vectors and Determinants

#### 12.1. Geometric Representation of Vectors

Vectors

Adding Vectors

Vector Addition

#### 12.2. Algebraic Representation of Vectors

Vectors

Adding Vectors

Vector Addition

#### 12.4. Parallel and Perpendicular Vectors; Dot Product

Vectors

#### 12.7. Determinants

Systems of Linear Equations - Activity B

#### 12.8. Applications of Determinants

Systems of Linear Equations - Activity A

### 13. Sequences and Series

#### 13.1. Arithmetic and Geometric Sequences

Arithmetic Sequences

Geometric Sequences

Arithmetic and Geometric Sequences

#### 13.2. Recursive Definitions

Arithmetic Sequences

Geometric Sequences

Arithmetic and Geometric Sequences

### 14. Matrices

#### 14.1. Matrix Addition and Scalar Multiplication

Translations

#### 14.3. Applying Matrices to Linear Systems

Systems of Linear Equations - Activity A

#### 14.6. Transformation Matrices

Translations

### 15. Combinatorics

#### 15.2. The Multiplication, Addition, and Complement Principles

Permutations

#### 15.3. Permutations and Combinations

Permutations

Permutations and Combinations

### 16. Probability

#### 16.1. Introduction to Probability

Probability Simulations

#### 16.2. Probability of Events Occurring Together

Compound Independent Events

Compound Independent and Dependent Events

#### 16.3. The Binomial Probability Theorem

Binomial Probabilities

#### 16.4. Probability Problems Solved with Combinations

Binomial Probabilities

#### 16.5. Working with Conditional Probability

Binomial Probabilities

#### 16.6. Expected Value

Theoretical and Experimental Probability

### 17. Statistics

#### 17.1. Tables, Graphs, and Averages

Stem-and-Leaf Plots

Histograms

Line Plots

#### 17.2. Box-and-Whisker Plots

Box-and-Whisker Plots

### 18. Curve Fitting and Models

#### 18.1. Introduction to Curve Fitting; The Least Squares Line

Lines of Best Fit Using Least Squares - Activity A

Correlation

Scatter Plots - Activity A