Subject: Mathematics

Algebra 1

Northgate Academy’s Algebra 1 course offers a comprehensive journey into the world of algebra, beginning with a foundational review of equation-solving techniques. Students quickly move beyond the basics to master linear equations in various forms, delve into the intricacies of exponents, and explore the rich concepts of functions, including notation, domain and range, and multiple representations.

Credits: 1.0

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Course Description

This course begins with a brief review of what students should already know about solving 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 and using lines of best fit to apply regression techniques. The course closes with an exploration of integer exponents, quadratic and exponential expressions with a heavy emphasis on quadratics, and an introduction to radical functions.

Textbook: Algebra I Concepts – © 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

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Course Contents

Modules
Introduction To Algebra Concepts
Solving Equations
Solving Inequalities
Functions
Linear Functions
Systems of Equations
Exponents and Polynomials
Factoring
Quadratic Equations
Probability, Exponentials and Radicals

Recommended Prerequisites

Carnegie Credits Explained: Our Approach vs. Trimester Credits

Carnegie Credit System
Northgate Academy 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, Northgate’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.