Subject: Mathematics

Math Models & Applications

Math Models and Applications at Northgate Academy provides a strong foundation in essential math concepts, preparing students for Algebra 1. Covering arithmetic, fractions, exponents, geometry, and introductory algebra, this course builds confidence for real-world problem-solving and future math success.

Course Type: High School (Adult Diploma)

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Credits: 1.0

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Course Description

Northgate Academy’s Math Models and Applications course serves as both an introduction to fundamental math concepts and a refresher for students preparing for Algebra 1. Through clear, step-by-step explanations, students will master basic arithmetic, fractions, decimals, ratios, exponents, roots, factorization, and algebraic expressions. The course also introduces foundational geometry concepts and signed numbers, ensuring learners are equipped to apply mathematical principles in everyday life. Designed to strengthen problem-solving skills and mathematical confidence, this course is the perfect stepping stone for students advancing to more complex algebraic concepts

Textbook: Math Models and Applications – Joseph G. Williams, B.A. / © Excel Education Systems, Inc.

Course Objectives

Understand the basics of Addition/Subtraction/Multiplication/Division

Explore Exponents, Roots, and Factorization.

Understand Calculations with Fractions

Exposure to Introduction to Geometry

Exposure to Introduction to Algebraic Expressions

Starting is Easy

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Course Contents

Modules
Addition/Subtraction of Whole Numbers
Multiplication/Division of Whole Numbers
Exponents, Roots, Factorization
Multiplication/Division of Fractions
Addition/Subtraction of Fractions
Decimals
Ratios and Rates
Intro to Geometry
Signed Numbers
Intro to Algebraic Expressions

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.