Algebra 1

A study of real numbers, variables, mathematical expressions, polynomials, factoring, quadratic and linear equations and inequalities and functions lays the foundation for all further high school math courses. The course takes a problem-solving approach that enriches abstract and critical thinking skills.

This High School Course is also offered as part of the College Prep Online Diploma program.

Course Outline:

Credits: 1 Unit

Course ID: MAV09

Course Area: Math

Course Type: College Prep

Study Method: Online

Module 1: Exploring Algebraic Tools

Unit 1: Equations

Lesson 1: Diagnostic test

Lesson 2: Integers and rational numbers

Lesson 3: Variables and expressions

Lesson 4: Order of operations

Lesson 5: Inequalities

Unit 2: Properties, Simplifying and Solving

Lesson 1: Algebraic properties

Lesson 2: Simplifying expressions

Lesson 3: Solving equations

Lesson 4: Challenge assignment

Lesson 5: Solving inequalities

Module 2: Visual Representations

Unit 1: Graphing

Lesson 1: The coordinate plane

Lesson 2: Linear equations

Lesson 3: Slopes and (x and y) intercepts

Lesson 4: Review/quiz

Lesson 5: Lab assignment

Lesson 6: Analyzing linear equations

Lesson 7: Graphing linear equations

Unit 2: Solving Systems

Lesson 1: Systems

Lesson 2: Graphing

Lesson 3: Substitution

Lesson 4: Review/quiz

Lesson 5: Linear combination

Lesson 6: Special cases

Module 3: Applications

Unit 1: Polynomials

Lesson 1: Challenge assignment

Lesson 2: Polynomials

Lesson 3: Adding and subtracting polynomials

Lesson 4: Multiplying polynomials

Lesson 5: Review/quiz

Lesson 6: Lab assignment dividing (by monomials)

Unit 2: Review and semester exam

Lesson 1: Review module 1

Lesson 2: Review module 2

Lesson 3: Review module 3

Module 4: Separations

Unit 1: Factoring

Lesson 1: GCF

Lesson 2: Factoring 4 or more term polynomials

Lesson 3: Review/Quiz

Lesson 4: Factoring trinomials

Lesson 5: Challenge assignment

Lesson 6: Factoring binomials

Lesson 7: Factoring and quadratic equations

Unit 2: Rationals

Lesson 1: Lab assignment

Lesson 2: Simplifying rational expressions

Lesson 3: Multiplying and dividing rational expressions

Lesson 4: Adding and subtracting rational expressions with like denominators

Lesson 5: Review/quiz

Lesson 6: Adding and subtracting rational expressions with unlike denominators

Lesson 7: Solving rational equations

Module 5: Back to Basics

Unit 1: Roots

Lesson 1: Challenge assignment

Lesson 2: The Pythagorean theorem

Lesson 3: Simplifying radical expressions

Lesson 4: Multiplying radicals

Lesson 5: Review/quiz

Lesson 6: Dividing radicals

Lesson 7: Solving radical equations

Unit 2: Review and semester exam

Lesson 1: Review module 4

Lesson 2: Review module 5

Items Provided by Students:

• Scientific Calculator
• Graph Paper
• Straight edge (commonly called a ruler)