Subject: Mathematics

Honors Algebra 1

Course Type: Standard High School

,

Credits: 1.0

,

Course Description

This course begins with a brief review of what students should already know about linear equations, with a focus on analyzing and explaining the process of solving equations. Students develop a strong foundation in working with linear equations in all forms, extending solution techniques to simple equations with exponents. Students explore functions, including notation, domain and range, multiple representations, and modeling. Through the comparison of linear and exponential functions, students contrast the concepts of additive and multiplicative change. Students then apply what they have learned to linear models of data, analyzing scatterplots and using lines of best fit to apply regression techniques. The course closes with an exploration of rational exponents, quadratic and exponential expressions, and an introduction to non-linear functions, with a heavy emphasis on quadratics.

Textbook: Algebra 1 - © Excel Education Systems, Inc. - 2018

Course Objectives

Analyze and interpret the structure of expressions and write expressions in equivalent forms to solve problems.

Communicate effectively using graphic, numeric, symbolic, and verbal representations

Recognize the graph of given data as being linear, quadratic, or exponential.

Solve equations and inequalities in one variable and represent and solve equations and inequalities graphically.

Create and solve equations that describe numbers or relationships.

Model and solve problems with linear systems graphically.

Starting is Easy

Want to learn more about earning your accredited high school diploma? Just enter your name and email below, and we'll send you a series of helpful emails to guide you through the process.

Course Contents

Module TitleModule Topic(s)
Unit 1: Introduction to Algebra Concepts
Unit 2: Solving Equations
Unit 3: Solving Inequalities
Unit 4: Functions
Unit 5: Linear Functions
Unit 6: Systems of Equations
Unit 7: Exponents & Polynomials
Unit 8: Factoring
Unit 9: Quadratic Equations
Unit 10: Probability, Exponentials, Radicals

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.