Subject: 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.

Course Type: Standard High School

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Credits: 1.0

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Course Description

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.©

Course 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.

Starting is Easy

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Course Contents

Module TitleModule Topic(s)
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

Recommended Prerequisites

Carnegie Credits Explained: Our Approach vs. Trimester Credits

Carnegie Credit System
Excel High School follows the Carnegie Credit system, a widely recognized method of measuring student progress based on instructional hours. A single Carnegie credit reflects approximately 120 hours of coursework, typically completed over a full academic year.

Carnegie Credit vs. Trimester Credit
While Carnegie credits are awarded based on total hours over a year, trimester credits divide the school year into three terms. In a trimester system, students complete courses in shorter, intensive sessions, often earning partial credits (e.g., 0.33 or 0.5 per term). In contrast, Excel’s use of Carnegie credits ensures students have ample time to engage deeply with the material and develop a well-rounded understanding at a consistent pace.

Accreditation You Can Trust

Recognized & Respected Nationwide

At Excel High School, we are proud to be regionally accredited by Cognia, along with additional accreditations from NCA, SACS, NWAC, and the Middle States Association. Our programs meet the same rigorous standards as public schools, giving you the confidence of earning a well-respected diploma.

Global Recognition for Our Accredited Diplomas

Excel High School’s regionally accredited diploma is accepted by colleges and universities around the world. With our recognized accreditation, you can confidently pursue higher education wherever your journey takes you.

Accreditation You Can Trust

Recognized & Respected Nationwide

At Excel High School, we are proud to be regionally accredited by Cognia, along with additional accreditations from NCA, SACS, NWAC, and the Middle States Association. Our programs meet the same rigorous standards as public schools, giving you the confidence of earning a well-respected diploma.

Global Recognition for Our Accredited Diplomas

Excel High School’s regionally accredited diploma is accepted by colleges and universities around the world. With our recognized accreditation, you can confidently pursue higher education wherever your journey takes you.