Learn Algebra The Easy Way! Course Syllabus
Full curriculum breakdown — modules, lessons, estimated time, and outcomes.
Overview: This course provides a step-by-step introduction to algebra, designed for beginners looking to build a strong foundation in mathematical reasoning. With over 6 hours of structured content, learners will progress from core algebraic principles to solving complex equations and applying concepts to real-world problems. Each module combines clear theory, visual graphing techniques, and practical exercises to ensure mastery. Lifetime access allows for self-paced learning, culminating in a certificate of completion.
Module 1: Foundations of Algebra
Estimated time: 0.75 hours
- Variables, constants, and algebraic expressions
- Order of operations (PEMDAS)
- Simplifying expressions
Module 2: Linear Equations & Inequalities
Estimated time: 1 hours
- Solving one-step and multi-step equations
- Solving literal equations
- Graphing lines and slope-intercept form
- Handling inequalities
Module 3: Systems of Equations
Estimated time: 1 hours
- Solving systems by substitution
- Solving systems by elimination
- Applications to word problems
- Intersection analysis
Module 4: Exponents & Radicals
Estimated time: 0.75 hours
- Laws of exponents
- Negative and fractional exponents
- Simplifying radical expressions
- Rationalizing denominators
Module 5: Polynomials & Factoring
Estimated time: 1 hours
- Polynomial addition, subtraction, and multiplication
- Factoring trinomials
- Difference of squares
- Perfect square trinomials
Module 6: Quadratic Equations
Estimated time: 1 hours
- Solving by factoring
- Completing the square
- Quadratic formula
- Graphing parabolas: vertex and axis of symmetry
Module 7: Functions & Graphs
Estimated time: 1 hours
- Defining functions
- Domain and range
- Linear vs. quadratic functions
- Graph transformations
Module 8: Advanced Applications & Problem Solving
Estimated time: 1 hours
- Word-problem strategies: mixture, motion, and work problems
- Introduction to exponential relationships
- Introduction to logarithmic relationships
Prerequisites
- Familiarity with basic arithmetic operations
- Understanding of pre-algebra concepts such as fractions and decimals
- Basic comfort with mathematical reasoning and number sense
What You'll Be Able to Do After
- Solve linear and quadratic equations confidently
- Graph functions and interpret key features
- Apply algebra to real-world scenarios and data analysis
- Manipulate exponents, radicals, and polynomials effectively
- Use factoring and systems of equations to solve complex problems