Subject: Mathematics

Honors Geometry

Course Type: Honors High School

,

Credits: 1.0

,

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 – © 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

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: Foundations of Geometry
Unit 2: Logic/Reasoning in Geometry
Unit 3: Shapes & Parallel Lines
Unit 4: Triangle Congruence
Unit 5: Area & Perimeter
Unit 6: Volume & Surface Area
Unit 7: Similarity in Shapes
Unit 8: Geometry of Circles
Unit 9: Introduction to Trigonometry

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.