 # Course

## Geometry CA

Pre-Requisites:
Credits: 1.0
Estimated Completion Time: 2 segments / 32-36 weeks

### Description

One day in 2580 B.C.E., a very serious architect stood in a dusty desert with a set of plans. His plans called for creating a structure 480 feet tall, with a square base and triangular sides, using stone blocks weighing two tons each. The Pharaoh wanted the job done right. The better this architect understood geometry, the better his chances were for staying alive. Geometry is everywhere, not just in pyramids. Engineers use geometry to build highways and bridges. Artists use geometry to create perspective in their paintings, and mapmakers help travelers find things using the points located on a geometric grid. Throughout this course, students travel a mathematical highway illuminated by spatial relationships, reasoning, connections, and problem solving.

### Major Topics and Concepts

Segment 1:

Module 01: Basics Of Geometry
• Basics of Geometry
• Basic Constructions
• Constructing with Parallel and Perpendicular Lines
• Constructions with Technology
• Introduction to Proofs

Module 02: Transformations and Congruence
• Translations
• Reflections
• Rotations
• Rigid Motion and Congruence

Module 03: Proofs of Theorems
• Line and Angle Proofs
• Triangle Proofs
• Parallelogram Proofs
• Indirect Proofs

Module 04: Dilations and Similarity
• Dilations
• Similar Polygons
• Similar Triangles
Module 05: Triangle Similarity Proofs
• Triangle Congruence and Similarity
• Applications of Congruence and Similarity
• Honors Extension Activity
Segment 2:

Module 06: Coordinate Geometry
• Using the Coordinates
• Slope
• Coordinate Applications

Module 07: Right Triangles and Trigonometry
• Solving Right Triangles
• Trigonometric Ratios
• Applying Trigonometric Ratios

Module 08: Volume and Figures
• Formulas
• Applications of Volume
• Density
• 3-D Polyhedra

Module 09: Statistics
• Events and Outcomes in a Sample Space
• Independent Probability
• Conditional Probability
• Normal Distribution
• Models of Populations
• Using Surveys
• Using Experiments

Module 10: Circles
• Properties of a Circle
• Inscribed and Circumscribed Circles
• Applications of Circles
• Honors Extension Activity