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Course Syllabus: ABCs of Algebra

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Course Description


Find out how algebra is simply a natural extension of the math you learned in elementary school. Basic Algebra is designed for all students who need a basic understanding of algebraic operations including simplifying, factoring, solving equations and inequalities, working with fractions or exponents, graphing, and word problems.


In Basic Algebra you will walk step-by-step through a wide variety of explained problems. Learn to perform the steps to solve equations and graph solutions. Understand FOIL when it isn't on your potato. Discover methods for factoring trinomials quickly and easily. Understand slopes and line equations so that you can identify a slope from two points or draw a line with a slope and a point. See how word problems help you translate your math skills to your real world. Explore internet links to more explanations and practice problems with immediate feedback. Allow the course to lead you from topic to topic, building on what you already know.

Course Requirements

There are no pre requisites. Anyone over the age of 13 is welcome to join this course. It is recommended though that individuals have obtained a ninth grade education in order to grasp the Math information presented.

Course Outline


Lesson 1 - Terminology: Words and Symbols

Lesson 2 - Properties and Principles of Equations

Lesson 3 - Directed Numbers in Equations

Lesson 4 - Solving Problems using Equations and Inequalities

Lesson 5 - Exponents and Roots

Lesson 6 - Polynomials

Lesson 7 - Fractions

Lesson 8 - Factoring to Solve Problems

Lesson 8 - Factoring to Solve Problems (Part 2)

Lesson 9 - Linear Equations and Inequalities

Lesson 10 - Solving Systems of Equations

Lesson 11 - More Quadratic Equation Solution Methods

Course Materials

No additional course materials required to complete this course.

Grading Policy

Each lesson will include a practice assignment that will directly apply what you have learned.
A brief 10 pt. quiz will follow each lesson. Students will successfully complete this course with 70% or better

Learning Outcomes

By successfully completing this course, students will be able to:
  • Identify properties and principles of equations.
  • Define algebra terminology.
  • Understand directed numbers in equations.
  • Solve problems using equations and inequalities.
  • Solve problems using exponents and roots.
  • Solve polynomials.
  • Solve problems involving fractions.
  • Solve problems by using factoring.
  • Solve linear equations and inequalities.
  • Solve systems of equations.
  • Solve quadratic equations, and
  • Demonstrate mastery of lesson content at levels of 70% or higher.
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Assessment Guide

Introduction Assignment1
Lesson 1 Terminology: Words and Symbols6
Lesson 2 Exercises8
Lesson 2 - Properties and Principles of Equations8
Lesson 3 Exercises5
Lesson 3 - Directed Numbers in Equations9
Lesson 4 Exercises8
Lesson 4 - Solving Problems using Equations and Inequalities8
Additional Resources for Radicals and Exponents-
Lesson 5 Exercises20
Lesson 5 - Exponents and Roots8
Lesson 6 Exercises10
Lesson 6 - Polynomials10
Lesson 7 Exercises8
Lesson 7 - Fractions9
Lesson 8 Exam - Factoring5
Lesson 9 Exercises6
Lesson 9 - Factoring to Solve Problems9
Lesson 10 Exercises6
Lesson 10 - Linear Equations and Inequalities9
Lesson 11 Exercises8
Lesson 11 - Solving Systems of Equations8
Lesson 12 - More Quadratic Equation Solution Methods7
The Final Exam220
Total Points:396
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