Geometry
Pre-Requisites: Algebra 1
Credits: 1.0
Estimated Completion Time: 32-36 weeks
Description
In Geometry, students explore geometric situations and deepen their explanations of geometric relationships, moving towards formal mathematical arguments as geometric experiences are formalized and extended. Standards for mathematical practice are followed so that students experience mathematics as a coherent, useful, and logical subject that makes use of their ability to make sense of problem situations.
Major Topics and Concepts
Segment One
Module 01 - Geometry Foundations
- Basics of Geometry
- Basic Constructions
- Advanced Constructions
- Introduction to Proofs
- Line and Angle Proofs
Module 02 - Transformations and Congruence
- Translations and Reflections
- Rotations
- Rigid Motion and Congruence
- Triangle Proofs
- Quadrilateral Proofs
Module 03 - Dilations and Similarity
- Dilations
- Similarity
- Triangles and Similarity
- Triangle Congruence and Similarity
- Applications of Congruence and Similarity
Segment Two
Module 04 - Coordinate Geometry
- Using the Coordinates
- Slope
- Coordinate Applications
Module 05 - Right Triangles and Trigonometry
- Solving Right Triangles
- Trigonometric Ratios
- Applying Trigonometric Ratios
Module 06 - Volume and Figures
- Formulas
- Applications of Volume
- Density
- Three-Dimensional Figures
Module 07 - Circles
- Properties of a Circle
- Inscribed and Circumscribed Circles
- Applications of Circles
Grading Policy
To achieve success, students are expected to submit work in each course weekly. Students can learn at their own pace; however, “any pace” still means that students must make progress in the course every week. To measure learning, students complete self-checks, practice lessons, multiple choice questions, projects, discussion-based assessments, and discussions. Students are expected to maintain regular contact with teachers; the minimum requirement is monthly. When teachers, students, and parents work together, students are successful.
