Mathematics
Geometry
Master high school Geometry with proofs, transformations, trigonometry, and real-world applications in this self-paced, online course.
About the course
Course Overview
Geometry at Excel High School provides a comprehensive exploration of geometric principles, integrating logical reasoning, spatial visualization, and practical applications. Designed for high school students, this self-paced, online course develops critical thinking skills through the study of reasoning and proof, transformations, congruence, triangle relationships, quadrilaterals, similarity, trigonometry, circles, surface area, volume, and probability.
Through ten engaging modules, students learn to construct and analyze geometric proofs, apply transformations, explore triangle congruence and similarity, and use trigonometric ratios to solve both theoretical and real-world problems. Interactive lessons, video tutorials, and digital tools help learners connect geometric concepts to everyday applications, from architecture and engineering to data analysis and design.
The course emphasizes STEM connections, encouraging students to use geometry as a foundation for advanced math and science courses. By the end of the course, learners will be equipped to solve complex geometric problems, model real-world situations, and approach higher-level mathematics with confidence.
Textbook: Geometry Concepts – Excel Education Systems, Inc. ©2019
By the end of the course
Learning Objectives
- Apply geometric concepts and tools to solve problems.
- Construct and evaluate geometric proofs using deductive reasoning.
- Analyze and perform geometric transformations and demonstrate congruence.
- Use trigonometric ratios to solve real-world and theoretical problems.
- Model and solve problems involving circles, three-dimensional figures, and probability.
Course contents
What You'll Study
The Essentials of Geometry
Spatial reasoning, logical foundations, coordinate geometry
Parallel and Perpendicular Lines
Line relationships, angle pairs, coordinate methods
Transformations
Rigid motions, dilations, symmetry, real-world modeling
Triangle Congruence
Congruent triangles, proof strategies, structural design
Relationships Within Triangles
Triangle theorems, concurrency, triangle inequalities
Quadrilaterals & Triangle Similarity
Properties of quadrilaterals, similarity in triangles, STEM modeling
Right Triangle Trigonometry
Trigonometric ratios, Pythagorean Theorem, elevation and depression
Properties of Circles
Angles, arcs, circle equations, geometric design
Surface Area and Volume
Solids, geometric modeling, real-world applications
Probability
Set theory, probability rules, conditional probability, real-world data
Earn your 1.0 credit in Geometry
Accredited. Self-paced. Built for Texas students.
Start this semester
Earn credit. On your schedule.
Excel High School Texas is fully accredited, self-paced, and built for Texas students who want a college-ready diploma without compromise.