Algebra I

Algebra is everywhere, and in this "a-g" approved course you'll learn how to solve everyday math problems using it.

Algebra is everywhere. It’s used for everything from calculating a college’s rank to determining a car loan’s monthly payment. Through this course, you’ll learn how to use algebra to solve everyday life problems, from calculating how much gasoline you’ll need for your summer road trip to graphing college tuition costs. With an in-depth understanding of algebraic principles, including variables, equations, graphing, number properties, polynomials, and more, you’ll gain the necessary problem solving skills to practically apply algebra to real life. This course is “a-g” approved and can be used to supplement a face-to-face Algebra I class. PREREQUISITE: Mathematics competency through 7th grade.

**SEMESTER 1**

**Unit 1: Basic Algebra Principles**

Lesson 1: Real Numbers and Algebraic Expressions

Lesson 2: Simplifying Expressions

Lesson 3: Solving Equations

Lesson 4: More on Solving Equations

**Unit 2: Inequalities and Absolute Values**

Lesson 5: Sets, Intersections, and Unions

Lesson 6: Inequalities and Their Graphs

Lesson 7: Using Inequalities

Lesson 8: Solving Equations Involving Absolute Values

Lesson 9: More Solving Inequalities Involving Absolute Values

**Unit 3: Graphs of Linear Equations**

Lesson 10: Graphing Linear Equations

Lesson 11: Slope in Graphs and Equations

Lesson 12: Linear and Nonlinear Equations

Lesson 13: Finding the Equation of a Line

Lesson 14: Parallel and Perpendicular Lines, and Linear Inequalities

**Unit 4: Systems of Equations and Inequalities**

Lesson 15: Systems of Linear Equations and Their Graphs

Lesson 16: Solving Systems of Linear Equations by Substitution

Lesson 17: Solving Systems of Linear Equations by Elimination

Lesson 18: Rate, Work, Digit, and Coin Problems

Lesson 19: Systems of Linear Inequalities

**SEMESTER 2**

**Unit 5: Exponents, Monomials, and Polynomials**

Lesson 20: Properties of Exponents

Lesson 21: Monomials

Lesson 22: Polynomials

Lesson 23: Factoring Polynomials

Lesson 24: Factoring Special Polynomials

**Unit 6: Relations, Functions, and Quadratic Equations**

Lesson 25: Introduction to Quadratic Equations and Their Graphs

Lesson 26: Solving Quadratic Equations by Factoring

Lesson 27: Solving Quadratic Equations by Completing the Square

Lesson 28: The Quadratic Formula

Lesson 29: Applications of Quadratic Equations

Lesson 30: Functions and Function Notation

**Unit 7: Rational, Radical Expressions, and Equations**

Lesson 31: Rational Expressions

Lesson 32: Special Rational Equations

Lesson 33: Rational Equations

Lesson 34: Radical Expressions

Lesson 35: Finding Square Roots

Lesson 36: Radical Equations