Welcome to Algebra 1
Algebra 1 introduces the language of mathematical relationships and problem-solving. Through engaging instruction, guided practice, and real-world applications, students develop the skills to work with expressions, equations, functions, and graphs—building confidence for higher-level mathematics and STEM learning.
Course Overview
Algebra helps us describe patterns, represent unknown quantities, and understand how values relate to one another. In this course, students move from foundational algebraic thinking to solving equations, interpreting graphs, and using functions to model situations in everyday life, science, engineering, and technology.
Welcome to Algebra 1
Start with a brief introduction to the course, its learning resources, and what you can expect as you progress.
If the video does not play here, watch the Algebra 1 introduction on YouTube ↗.
What You Will Learn
- Use variables, expressions, and properties of real numbers to represent mathematical relationships.
- Solve and interpret linear equations and inequalities.
- Represent and analyze linear relationships using tables, graphs, and equations.
- Understand functions, their notation, and how they model change.
- Work with systems of equations and interpret solutions in context.
- Explore polynomials, factoring, quadratic relationships, radicals, and exponential patterns.
- Communicate mathematical reasoning and apply algebra to real-world STEM problems.
How You Will Learn
Instructional Videos
Clear explanations and worked examples that introduce key concepts.
Guided Practice & Worksheets
Structured opportunities to strengthen understanding and practice new skills.
Quizzes & Assessments
Check understanding and identify concepts to revisit as you learn.
Algebra at Work
Connect algebraic thinking to engineering, science, technology, and careers.
Explore the Course Outline
Follow the course through 15 weekly topics, from introductory algebra to exponential functions. Each week includes two lessons; lesson pages will be linked as they become available.
Algebra Foundations
Introduction to Algebra
- Introduction to Variables, Expressions, and Equations
- The Order of Operations (PEMDAS) and Evaluating Algebraic Expressions
Real Numbers and Their Properties
- Properties of Real Numbers (Commutative, Associative, Distributive)
- Adding, Subtracting, Multiplying, and Dividing Real Numbers
Solving Linear Equations
- Solving One-Step and Two-Step Equations
- Multi-Step Equations and Equations with Variables on Both Sides
Solving and Graphing Inequalities
- Solving One-Step and Multi-Step Inequalities
- Graphing Solutions on a Number Line and Solving Compound Inequalities
Linear Relationships and Systems
Graphing Linear Equations
- The Cartesian Plane and Plotting Points
- Graphing Linear Equations Using Slope-Intercept Form
Slope and Rate of Change
- Finding Slope from a Graph and Two Points
- Interpreting Slope as Rate of Change
Writing Linear Equations
- Writing Equations in Slope-Intercept Form
- Point-Slope Form and Standard Form of a Line
Systems of Equations
- Solving Systems by Graphing and Substitution
- Solving Systems by Elimination
Midterm Exam Review and Exam
- Review of Concepts from Weeks 1–8
- Midterm Exam
Polynomials and Quadratic Equations
Polynomials
- Introduction to Polynomials: Terms, Degrees, and Types
- Adding, Subtracting, and Multiplying Polynomials
Factoring Polynomials
- Greatest Common Factor (GCF) and Factoring by Grouping
- Factoring Trinomials and Special Cases (Difference of Squares)
Solving Quadratic Equations
- Solving Quadratic Equations by Factoring
- Introduction to the Quadratic Formula
Radicals, Exponents, and Course Completion
Radical Expressions
- Simplifying Radical Expressions
- Solving Equations Involving Radicals
Exponents and Exponential Functions
- Properties of Exponents
- Graphing and Solving Exponential Functions
Final Exam Review and Final Exam
- Review of Concepts from Weeks 9–14
- Final Exam
The outline follows the supplied 15-week syllabus. Lesson links are placeholders until the GLS course pages are published.
Mathematics Beyond the Classroom
Algebra is a foundation for many STEM disciplines. Students will see how mathematical models support decisions in engineering design, technology, business, science, and everyday problem-solving.