**Segment 1**

**Module 1: Review of Algebra**

- Algebra 1 Review
- Introduction to Functions
- Graphing Linear Equalities and Inequalities
- Writing the Equation of a Line
- Comparing Functions

**Module 2: Rational, Complex, and Polynomials**

- Rational Exponents
- Properties of Rational Exponents
- Solving Radical Equations
- Complex Numbers
- Operations of Complex Numbers
- Review of Polynomials
- Polynomial Operations

**Module 3: Factoring and Quadratics**

- Greatest Common Factors and Special Products
- Factoring by Grouping
- Sum and Difference of Cubes
- Graphing Quadratics
- Completing the Square
- Solving Quadratic Equations
- Solving Quadratic Equations with Complex Solutions
- Investigating Quadratics

**Module 4: Multiplying and Dividing Polynomials**

- Module Four Pretest
- Polynomial Long Division
- Polynomial Synthetic Division
- Theorems of Algebra
- Rational Root Theorem and Descartes’ Rule of Signs
- Solving Polynomial Equations
- Graphing Polynomial Functions
- Polynomial Identities and Proofs

**Module 5: Rational Expressions**

- Simplifying Rational Expressions
- Multiplying and Dividing Rational Expressions
- Adding and Subtracting Rational Expressions
- Simplifying Complex Fractions
- Discontinuities of Rational Expressions
- Asymptotes of Rational Functions
- Solving Rational Equations
- Applications of Rational Equations

#### Segment 2

**Module 6: Systems of Equations and Inequalities**

- Solving Systems of Equations Algebraically
- Solving Systems of Nonlinear Equations
- Graphing Systems of Linear Equations
- Graphing Systems of Nonlinear Equations

**Module 7: Exponential and Logarithmic Functions**

- Exponential Functions
- Logarithmic Functions
- Properties of Logarithms
- Solving Exponential Equations with Unequal Bases
- Graphing Exponential Functions
- Graphing Logarithmic Functions
- Exponential and Logarithmic Functions

**Module 8: Sequence and Series**

- Arithmetic Sequences
- Arithmetic Series
- Geometric Sequences
- Geometric Series
- Sigma Notation
- Infinite, Convergent, and Divergent Series
- Graphing Sequences and Series

**Module 9: Statistics**

- Events and Outcomes in a Sample Space
- Independent Probability
- Conditional Probability
- Normal Distribution
- Models of Populations
- Using Surveys
- Using Experiments

**Module 10: Trigonometry**

- Introduction to the Unit Circle
- Unit Circle and the Coordinate Plane
- Trigonometric Functions with Periodic Phenomena
- Pythagoras, Trigonometry, and Quadrants
- Functions of all Types