Subject: Mathematics

Integrated Algebra

Integrated Algebra at Northgate Academy challenges students to deepen their understanding of algebra through interactive instruction. Covering functions, ratios, polynomials, geometry, and statistics, this course strengthens problem-solving skills and prepares students for advanced mathematical studies.

Credits: 1.0

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Course Description

Northgate Academy’s Integrated Algebra course provides high school students with a comprehensive and engaging approach to algebraic concepts. Building on prior knowledge, students explore functions, ratios, proportions, percentages, polynomials, sequences, and spatial reasoning. The curriculum emphasizes problem-solving, graphing, and statistical analysis while integrating real-world applications. Designed as a two-semester course, it begins with algebraic fundamentals and advances through topics such as functions, probability, and geometric reasoning. By mastering these concepts, students develop the analytical skills needed for higher-level math courses and future academic success.

Textbook: Pre-Algebra ISBN-13: 978-1-938168-99-4. / © Excel Education Systems, Inc. 2018

Course Objectives

Perform operations with rational numbers and use them to simplify expressions

Use mathematical and algebraic expressions and equations to represent and solve a variety of mathematical and real-world problems

Understand the concept of a function and its use in representing relationships

Exercise proportional thinking and use it to analyze the connection between ratio, proportion, and percent

Understand geometric concepts and strengthen spatial reasoning • Develop and use problem-solving strategies

Use statistics to display, describe, and analyze data

Understand counting methods, and apply them to calculate probabilities

Starting is Easy

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Course Contents

Modules
The Tools of Algebra
Integers
Equations
Factors and Fractions
Rational Numbers
Ratio, Proportion and Percent
Equations and Inequalities
Functions and Graphing
Real Numbers & Right Triangles
Two-Dimensional Figures
Three-Dimensional Figures
More Statistics and Probability
Polynomials and Nonlinear Functions

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.