Subject: Mathematics

Geometry Concepts

Northgate Academy’s Geometry Concepts course offers students a comprehensive understanding of geometry, starting with basic definitions and building towards complex applications. The course begins by establishing a foundation in the essential elements of geometry, such as points, lines, and planes, and progresses to explore logic, reasoning, and the construction of proofs.

Credits: 1.0

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Course Description

This course begins with review and introduction of definitions of the building blocks of geometry. Students develop a strong foundation of working with definitions, postulates, and axioms. They will explore logic as it relates to mathematics, reasoning, and proofs. Course content helps the learner cultivate a strong sense of working with figures and shapes of all forms, and expands their ideas into real life problems. Strong spatial reasoning skills are taught as students explore different properties of shapes and figures including congruence, area, perimeter, volume, surface area, and similarity. These new ideas provide learners a place to continually apply their accumulated Algebra knowledge and skills. The course concludes with examining the many properties related to circles, and an introduction to Trigonometry.

Textbook: Geometry Concepts – © Excel Education Systems, Inc. 2019

Course Objectives

Understand points, lines and planes – the basic building blocks of geometry

Recognize postulates, theorems and properties, and how they are used in geometry

Identify 2-dimensional and 3-dimensional shapes and their related formulas

Comprehend and apply the Pythagorean Theorem to right triangle problems

Understand the geometry of circles and terms used to identify its parts

Learn the basic tools of Trigonometry and how to apply them to angle measurement

Starting is Easy

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Course Contents

Modules
Foundations of Geometry
Logic and Reasoning in Geometry
Shapes and Parallel Lines
Triangle Congruence
Area and Perimeter
Volume and Surface Area
Similarity in Shapes
Geometry of Circles
Introduction to Trigonometry

Recommended Prerequisites

Algebra 1

Credits: 1.0

Course Subject: Mathematics

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.