### p: Prerequisites: Fundamental Concepts of Algebra

#### p.1: Algebraic Expressions, Mathematical Models, and Real Numbers

Using Algebraic Expressions

#### p.2: Exponents and Scientific Notation

Dividing Exponential Expressions

Exponents and Power Rules

Multiplying Exponential Expressions

Unit Conversions 2 - Scientific Notation and Significant Digits

#### p.4: Polynomials

Addition and Subtraction of Polynomials

Addition of Polynomials - Activity A

#### p.5: Factoring Polynomials

Factoring Special Products

Modeling the Factorization of *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*bx*+*c*

#### p.7: Equations

Using Algebraic Equations

#### p.9: Linear Inequalities and Absolute Value Inequalities

Compound Inequalities

Inequalities Involving Absolute Values

Linear Inequalities in Two Variables - Activity A

### 1: Functions and Graphs

Points, Lines, and Equations

#### 1.2: Basics of Functions and Their Graphs

Cubic Function Activity

#### 1.4: Linear Functions and Slope

Linear Functions

Slope - Activity A

Slope-Intercept Form of a Line - Activity A

#### 1.6: Transformations of Functions

Translating and Scaling Functions

#### 1.8: Inverse Functions

Function Machines 3 (Functions and Problem Solving)

#### 1.9: Distance and Midpoint Formulas; Circles

Distance Formula - Activity A

#### 1.10: Modeling with Functions

Zap It! Game

### 2: Polynomials and Rational Functions

Cubic Function Activity

General Form of a Rational Function

Rational Functions

#### 2.2: Quadratic Functions

Quadratic Functions

#### 2.3: Polynomial Functions and Their Graphs

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

#### 2.4: Dividing Polynomials; Remainder and Factor Theorems

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

#### 2.5: Zeros of Polynomial Functions

Points, Lines, and Equations

#### 2.6: Rational Functions and Their Graphs

General Form of a Rational Function

Rational Functions

### 3: Exponential and Logarithmic Functions

#### 3.1: Exponential Functions

Exponential Functions - Activity A

#### 3.2: Logarithmic Functions

Logarithmic Functions - Activity A

Logarithmic Functions: Translating and Scaling

#### 3.5: Exponential Growth and Decay; Modeling Data

Exponential Growth and Decay - Activity A

### 4: Trigonometric Functions

#### 4.2: Trigonometric Functions: The Unit Circle

Unit Circle

#### 4.5: Graphs of Sine and Cosine Functions

Cosine Function

Sine Function

### 5: Analytic Trigonometry

#### 5.1: Verifying Trigonometric Identities

Simplifying Trigonometric Expressions

#### 5.2: Sum and Difference Formulas

Sum and Difference Identities for Sine and Cosine

### 6: Additional Topics in Trigonometry

#### 6.5: Complex Numbers in Polar Form; DeMoivre's Theorem

Complex Numbers in Polar Form

#### 6.6: Vectors

Vectors

### 7: Systems of Equations and Inequalities

#### 7.1: Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

#### 7.5: Systems of Inequalities

System of Two Quadratic Inequalities

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

#### 7.6: Linear Programming

Linear Programming - Activity A

### 8: Matrices and Determinants

#### 8.2: Inconsistent and Dependent Systems and Their Applications

Special Types of Solutions to Linear Systems

### 9: Conic Sections and Analytic Geometry

#### 9.1: The Ellipse

Ellipse - Activity A

#### 9.2: The Hyberola

Hyperbola - Activity A

#### 9.3: The Parabola

Parabolas - Activity A

### 10: Sequences, Induction, and Probability

#### 10.2: Arithmetic Sequences

Arithmetic Sequences

#### 10.3: Geometric Sequences

Geometric Sequences

#### 10.6: Counting Principles, Permutations, and Combinations

Permutations

Permutations and Combinations

#### 10.7: Probability

Compound Independent Events

Compound Independent and Dependent Events

Probability Simulations