### 1. Linear Relations and Functions

#### 1.1. Relations and Functions

Introduction to Functions

#### 1.3. Graphing Linear Equations

Slope - Activity A

Slope-Intercept Form of a Line - Activity B

Translating and Scaling Functions

#### 1.4. Writing Linear Equations

Slope - Activity A

Point-Slope Form of a Line - Activity A

#### 1.6. Modeling Real-World Data with Linear Functions

Scatter Plots - Activity A

Lines of Best Fit Using Least Squares - Activity A

Correlation

#### 1.8. Graphing Linear Inequalities

Linear Inequalities in Two Variables - Activity A

Inequalities Involving Absolute Values

### 2. Systems of Linear Equations and Inequalities

#### 2.1. Solving Systems of Equations in Two Variables

Solving Linear Systems by Graphing

Systems of Linear Equations - Activity A

#### 2.4. Modeling Motion with Matrices

Translations

Dilations

#### 2.5. Determinants and Multiplicative Inverses of Matrices

Systems of Linear Equations - Activity B

#### 2.6. Solving Systems of Linear Inequalities

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

Systems of Linear Inequalities (Standard form)

#### 2.7. Linear Programming

Linear Programming - Activity A

### 3. The Nature of Graphs

#### 3.1. Symmetry and Coordinate Graphs

Cubic Function Activity

Quadratics in Vertex Form - Activity A

Reflections

#### 3.2. Families of Graphs

Quadratics in Vertex Form - Activity A

Reflections of a Linear Function

Translating and Scaling Functions

#### 3.3. Graphs of Nonlinear Inequalities

Quadratic Inequalities - Activity A

#### 3.5. Continuity and End Behavior

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

Rational Functions

General Form of a Rational Function

#### 3.6. Critical Points and Extrema

Fourth-Degree Polynomials - Activity A

Cubic Function Activity

Quadratics in Vertex Form - Activity A

#### 3.7. Graphs of Rational Functions

Rational Functions

General Form of a Rational Function

#### 3.8. Direct, Inverse, and Joint Variation

Direct and Inverse Variation

### 4. Polynomial and Rational Functions

#### 4.1. Polynomial Functions

Polynomials and Linear Factors

Cubic Function Activity

#### 4.2. Quadratic Equations

Roots of a Quadratic

Quadratics in Factored Form

#### 4.3. The Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

#### 4.5. Locating Zeros of a Polynomial Function

Fourth-Degree Polynomials - Activity A

### 5. The Trigonometric Functions

#### 5.2. Trigonometric Ratios in Right Triangles

Sine and Cosine Ratios - Activity B

Tangent Ratio

Sine, Cosine and Tangent

#### 5.3. Trigonometric Functions on the Unit Circle

Sine Function

Cosine Function

Tangent Function

Unit Circle

### 6. Graphs of Trigonometric Functions

#### 6.3. Graphing Sine and Cosine Functions

Sine Function

Cosine Function

Unit Circle

#### 6.4. Amplitude and Period of Sine and Cosine Functions

Translating and Scaling Sine and Cosine Functions - Activity A

#### 6.5. Translations of Sine and Cosine Functions

Translating and Scaling Sine and Cosine Functions - Activity A

#### 6.7. Graphing Other Trigonometric Functions

Tangent Function

### 7. Trigonometric Identities and Equations

#### 7.1. Basic Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

#### 7.2. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

#### 7.3. Sum and Difference Identities

Sum and Difference Identities for Sine and Cosine

#### 7.4. Double-Angle and Half-Angle Identities

Sum and Difference Identities for Sine and Cosine

### 8. Vectors and Parametric Equations

#### 8.1. Geometric Vectors

Vectors

Adding Vectors

#### 8.2. Algebraic Vectors

Vectors

Adding Vectors

#### 8.4. Perpendicular Vectors

Vectors

### 10. Conics

#### 10.1. Introduction to Analytic Geometry

Distance Formula - Activity A

#### 10.2. Circles

Circles

#### 10.3. Ellipses

Ellipse - Activity A

#### 10.4. Hyperbolas

Hyperbola - Activity A

#### 10.5. Parabolas

Parabolas - Activity B

#### 10.8. Systems of Second-Degree Equations and Inequalities

System of Two Quadratic Inequalities

### 11. Exponential and Logarithmic Functions

#### 11.1. Real Exponents

Simplifying Radicals - Activity B

#### 11.2. Exponential Functions

Exponential Functions - Activity B

#### 11.3. The Number e

Exponential Functions - Activity C

#### 11.4. Logarithmic Functions

Logarithmic Functions - Activity A

#### 11.5. Common Logarithms

Logarithmic Functions - Activity A

#### 11.6. Natural Logarithms

Logarithmic Functions - Activity B

#### 11.7. Modeling Real-World Data with Exponential and Logarithmic Functions

Exponential Growth and Decay - Activity B

### 12. Sequences and Series

#### 12.1. Arithmetic Sequences and Series

Arithmetic Sequences

#### 12.2. Geometric Sequences and Series

Geometric Sequences

### 13. Combinatorics and Probability

#### 13.1. Permutations and Combinations

Permutations and Combinations

#### 13.3. Probability and Odds

Probability Simulations

#### 13.4. Probability of Compound Events

Compound Independent Events

Compound Independent and Dependent Events

#### 13.5. Conditional Probability

Compound Independent and Dependent Events

#### 13.6. The Binomial Theorem and Probability

Binomial Probabilities

### 14. Statistics and Data Analysis

#### 14.1 The Frequency Distribution

Line Plots

Histograms

#### 14.2. Measures of Central Tendency

Mean, Median and Mode

#### 14.3. Measures of Variability

Stem-and-Leaf Plots

Box-and-Whisker Plots

### 15. Introduction to Calculus

#### 15.3. Area Under a Curve

Riemann Sum

#### 15.4. The Fundamental Theorem of Calculus

Riemann Sum