1. Fundamental Concepts of Algebra

1.1. Real Numbers

Real Number Line - Activity B

Comparing and Ordering Integers

1.2. Exponents and Radicals

Square Roots

1.3. Algebraic Expressions

Factoring Special Products

1.4. Equations

Solving Formulas for any Variable

1.6. Inequalities

Compound Inequalities

1.7. Rectangular Coordinate Systems

Points in the Coordinate Plane - Activity B

2. Functions

2.1. Definition of Functions

Introduction to Functions

2.2. Graphs of Functions

Using Tables, Rules and Graphs

Polynomials and Linear Factors

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

2.3. Quadratic Functions

Quadratic Functions

2.5. Inverse Functions

Logarithmic Functions - Activity B

2.6. Variation

Direct and Inverse Variation

3. Polynomial and Rational Functions

3.1. Polynomial functions of Degree Greater Than 2

Cubic Function Activity

Fourth-Degree Polynomials - Activity A

3.3. Zeros of Polynomials

Dividing Polynomials Using Synthetic Division

Polynomials and Linear Factors

3.5. Rational Functions

Rational Functions

General Form of a Rational Function

4. Exponential and Logarithmic Functions

4.1. Exponential Functions

Exponential Functions - Activity A

4.2. The Natural Exponential Function

Exponential Functions - Activity C

4.3. Logarithmic Functions

Logarithmic Functions - Activity A

5. The Trigonometric Functions

5.2. Trigonometric Functions of Angles

Tangent Ratio

Sine and Cosine Ratios - Activity A

5.3. Trigonometric Functions of Real Numbers

Unit Circle

Sine Function

Cosine Function

Tangent Function

5.5. Trigonometric Graphs

Translating and Scaling Sine and Cosine Functions - Activity A

5.6. Additional Trigonometric Graphs

Tangent Function

6. Analytic Trigonometry

6.1. Verifying Trigonometric Identities

Simplifying and Verifying Trigonometric Functions

6.3. The Addition and Subtraction Formulas

Sum and Difference Identities for Sine and Cosine

7. Applications of Trigonometry

7.3. Vectors

Vectors

Vector Addition

7.4. The Dot Product

Vectors

8. Systems of Equations and Inequalities

8.2. Systems of Linear Equations in Two Variables

Systems of Linear Equations - Activity A

Solving Linear Systems by Graphing

8.3. Systems of Inequalities

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

Systems of Linear Inequalities (Standard form)

8.4. Linear Programming

Linear Programming - Activity A

8.6. The Algebra of Matrices

Translations

8.8. Determinants

Systems of Linear Equations - Activity B

9. Sequences, Series, and Probability

9.2. Arithmetic Sequences

Arithmetic Sequences

9.3. Geometric Sequences

Geometric Sequences

9.6. Permutations

Permutations

9.7. Distinguishable Permutations and Combinations

Permutations and Combinations

9.8. Probability

Probability Simulations

Theoretical and Experimental Probability

Compound Independent and Dependent Events

10. Topics from Analytic Geometry

10.1. Parabolas

Parabolas - Activity A

Parabolas - Activity B

10.2. Ellipses

Ellipse - Activity A

10.3. Hyperbolas

Hyperbola - Activity A

10.5. Polar Coordinates

Points in Polar Coordinates