Credits:

Term:

Prerequisites:

Student must have taken Algebra II, but not received credit.

Course Description:

This learning recovery course allows students to pretest and identify specific content areas within the course to complete with the support of the teacher. Entire course is offered online and does not require the student to attend the class in person. A two week extension is available for students who may require more flexibility to complete the program. It is the responsibility of the student to determine their school’s acceptance of VTVLC credit for credit recovery. Refunds will only be granted PRIOR to the course start date of 6/28/17.

Topics & Concepts:

**Module 1:**

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

**Module 2:**

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

**Module 3:**

- 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:**

- Polynomial Long Division
- Polynomial Synthetic Division
- Theorems of Algebra
- Rational Root Theorem
- Solving Polynomial Equations
- Graphing Polynomial Functions
- Polynomial Identities and Proofs

**Module 5:**

- 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

**Module 6:**

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

**Module 7:**

- 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:**

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

**Module 9:**

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

**Module 10:**

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

Offerings and courses subject to change. Please refer to the VTVLC Student Information System as the most up-to-date resource of current offerings and required materials for courses.