04-Geometry

Overview

Geometry develops spatial reasoning and deductive thinking through the study of two-dimensional and three-dimensional figures. Students learn how geometric systems are constructed, how proofs establish mathematical truth, and how geometric principles apply to real-world design, measurement, construction, navigation, and technology.

Table of Contents

1. Chapter 1: What Geometry Studies
2. Chapter 2: Logic, Definitions, and Proof
3. Chapter 3: Lines, Angles, and Parallel Relationships
4. Chapter 4: Triangles and Congruence
5. Chapter 5: Triangle Relationships and Inequalities
6. Chapter 6: Similarity and Proportional Reasoning
7. Chapter 7: Right Triangles and the Pythagorean Theorem
8. Chapter 8: Right-Triangle Trigonometry
9. Chapter 9: Quadrilaterals and Polygons
10. Chapter 10 Circles
11. Chapter 11: Area and Surface Area
12. Chapter 12: Volume and Three-Dimensional Geometry
13. Chapter 13: Coordinate Geometry and Algebraic Proof
14. Chapter 14: Basic Geometry

Learning Outcomes

• Apply geometric vocabulary, notation, and reasoning.
• Analyze properties of points, lines, angles, triangles, polygons, and circles.
• Construct logical geometric proofs and mathematical arguments.
• Use congruence, similarity, and transformational geometry to solve problems.
• Calculate perimeter, area, surface area, and volume.
• Apply coordinate geometry and trigonometric relationships.
• Model real-world structures and spatial relationships using geometric principles.