Algebra I

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

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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