Course Details
Geometry (Grade 9-12)
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Course Information
- Subject Area
- Mathematics
- State Course Code
- 02072
- Length
- Two Semesters
- Total Hours
- 270
Description
Course emphasizes an abstract, formal approach to the study of geometry, typically including topics such as properties of plane and solid figures, deductive methods of reasoning and use of logic, geometry as an axiomatic system including the study of postulates, theorems, and formal proofs, concepts of congruence, similarity, parallelism, perpendicularity, and proportion and rules of angle measurement in triangles.
Learning Goals
Students who demonstrate understanding can:
- Congruence
- Experiment with transformations in the plane
- Understand congruence in terms of rigid motions
- Prove geometric theorems
- Make geometric constructions
- Similarity, Right Triangles, and Trigonometry
- Understand similarity in terms of similarity transformations
- Prove theorems involving similarity
- Define trigonometric ratios and solve problems involving right triangles
- Apply trigonometry to general triangles
- Circles
- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles
- 4. Expressing Geometric Properties with Equations
- Translate between the geometric description and the equation for a conic section
- Use coordinates to prove simple geometric theorems algebraically
- Geometric Measurement and Dimension
- Explain volume formulas and use them to solve problems
- Visualize relationships between two-dimensional and three-dimensional objects
- Modeling with Geometry
- Apply geometric concepts in modeling situations
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