Algebra

➕ Online Algebra Course – Overview

Course Title: Foundations of Algebra
Format: 100% Online (self-paced, instructor-led, or hybrid)
Duration: 8–12 weeks (adjustable)
Level: High School or Introductory College-Level
Prerequisites: Basic arithmetic skills (fractions, decimals, percentages)

🎯 Course Purpose

This course builds a foundational understanding of algebraic principles. Students will learn how to manipulate variables, solve equations, and model real-world situations using algebraic expressions and functions.

🧠 Learning Objectives

By the end of the course, students will be able to:

• Understand variables, expressions, and equations

• Solve linear, quadratic, and basic exponential equations

• Graph equations and inequalities on the coordinate plane

• Simplify and factor polynomials

• Use algebra to solve real-world and word problems

• Understand functions and relationships between variables

📝 Course Content Breakdown

Module 1: Introduction to Algebra

• Variables, expressions, and equations

• Order of operations (PEMDAS)

• Evaluating expressions

• Translating word problems into algebra

Module 2: Solving Linear Equations and Inequalities

• One-step and multi-step equations

• Equations with variables on both sides

• Solving and graphing inequalities

• Absolute value equations and inequalities

Module 3: Graphing and Coordinate Geometry

• Coordinate plane and plotting points

• Graphing linear equations

• Slope and intercepts (slope-intercept form)

• Parallel and perpendicular lines

Module 4: Systems of Equations

• Solving systems by graphing

• Substitution and elimination methods

• Real-life applications of systems

Module 5: Polynomials

• Classifying polynomials

• Adding, subtracting, and multiplying polynomials

• Special products (difference of squares, perfect square trinomials)

Module 6: Factoring

• Greatest common factor (GCF)

• Factoring trinomials

• Factoring by grouping

• Solving quadratic equations by factoring

Module 7: Quadratic Functions and Equations

• Understanding quadratic graphs (parabolas)

• Solving by completing the square

• Solving using the quadratic formula

• Discriminant and nature of roots

Module 8: Exponents and Exponential Functions

• Laws of exponents

• Negative and zero exponents

• Exponential growth and decay

• Scientific notation

Module 9: Radicals and Rational Expressions (Optional/Advanced)

• Simplifying square roots

• Solving radical equations

• Simplifying rational expressions

• Operations with rational expressions