Course Overview

Geometry A introduces students to the foundational principles of geometry, fostering mathematical reasoning, problem-solving, and analytical skills. Rather than presenting geometry as a collection of rules, this course emphasizes connections, patterns, and visual reasoning. Students learn to use geometric tools, logical proofs, and multiple approaches to develop both conceptual understanding and procedural fluency.

Key Learning Focus

Students will explore:

• Geometry basics: points, lines, planes, segments, angles, parallel and perpendicular lines, and triangle properties.
• Constructing regular shapes using geometric tools and methods.
• Transformations including reflections, rotations, translations, and dilations.
• Triangle congruence and its applications.
• Formal proofs to justify reasoning and validate conclusions.
• Coordinate geometry as a bridge between algebra and geometry.
• Similarity and proportional reasoning in geometric figures.

Each instructional component aligns with the Standards for Mathematical Practice, ensuring students strengthen both critical thinking and mathematical communication.

Instructional Approach

Students engage with visual models, hands-on constructions, peer demonstration videos, and real-world applications to make abstract concepts concrete. Mathematical discussions and reflection activities encourage students to identify patterns, justify solutions, and critique reasoning, while developing a precise academic vocabulary.

Unit Structure

The course is organized into nine units:

1. Geometry A Course Overview
2. Geometry Basics
3. Constructing Regular Shapes Portfolio
4. Transformations
5. Triangle Congruence
6. Formal Proofs
7. Coordinate Geometry
8. Similarity
9. Geometry A Semester Review and Exam

Real-World and 21st-Century Connections

Geometry A highlights the role of geometry in fields such as architecture, engineering, design, and technology. Students gain practice in applying mathematical reasoning to authentic contexts, building transferable skills for future academic and career success.

Outcome

By the end of Geometry A, students will have a strong foundation in geometric reasoning, transformations, proofs, and coordinate methods. This course prepares learners for Geometry B and higher-level mathematics, while fostering persistence, problem-solving, and a growth mindset.