Mathematics
Algebra 1
Build a strong foundation in algebraic thinking with our introductory Algebra 1 course. Explore real-world applications, functions, and data analysis through interactive lessons and STEM-focused themes.
About the course
Course Overview
Our Algebra 1 online high school course is designed to introduce students to the core principles of algebraic reasoning and mathematical modeling. Whether you’re preparing for future math courses or strengthening your problem-solving skills, this course offers a solid foundation through a blend of real-world applications and engaging STEM themes.
Students will explore a wide range of algebraic concepts, including linear equations and inequalities, functions, systems of equations, polynomials, quadratics, exponential functions, and data analysis. Each concept is taught through interactive lessons, videos, readings, and hands-on practice, helping students connect math to everyday problem-solving.
No previous Algebra experience is required, though a firm grasp of basic arithmetic is recommended. By the end of the course, students will be able to confidently model and solve equations, analyze functions, interpret data, and apply algebraic reasoning to real-life scenarios. With ten structured modules and ongoing assessments, this course supports student success and readiness for advanced math coursework.
Textbook: Algebra I Concepts – Excel Education Systems, Inc.©
By the end of the course
Learning Objectives
- Classify, analyze, and operate on real numbers and expressions.
- Model and solve linear equations, inequalities, and functions.
- Develop and interpret linear and exponential models using data.
- Solve systems of equations using multiple methods.
- Analyze and graph quadratic and polynomial functions.
- Apply mathematical concepts to interpret and solve real-world problems.
- Use statistical methods to interpret data and trends.
Course contents
What You'll Study
Real Numbers and Connections to Algebra
Topics: Rational/irrational numbers, real number properties, radicals, rational exponents, precision, linear equations/inequalities
Linear Functions and Equations
Topics: Standard form, graphing, slope, multiple representations, transformations, modeling
Building Linear Functions and Models
Topics: Scatter plots, correlation, arithmetic sequences, piecewise functions
Linear Systems
Topics: Solving systems (graphing, substitution, elimination), inequalities, real-world modeling
Exponential Functions and Equations
Topics: Identifying systems, solving by substitution/graphing/elimination, solution interpretation
Building Exponential Functions and Models
Topics: Exponential growth/decay, function identification, equation writing, comparison to linear
Polynomial Operations and Models
Topics: Function notation, transformations, modeling, technology tools
Quadratic Functions and Equations
Topics: Graphing, factoring, Zero Product Property, STEM application (flywheels)
Solving Quadratic Equations
Topics: Square root, completing the square, quadratic formula, drone project
Data Analysis
Topics: Frequency tables, central tendency, box/dot plots, ecological study
Earn your 1.0 credit in Algebra 1
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Excel High School Texas is fully accredited, self-paced, and built for Texas students who want a college-ready diploma without compromise.