Geometry
This challenging course provides an NCTM approach to the study of properties of elementary proof, logic, angle relationships, perpendicular and parallel lines and planes, congruence, similarity, constructions, circles, areas, and coordinate geometry. Students will apply their knowledge through course assignments that include writing, demonstrating, and projects.
Length of Course: 1 semester
PBGR: 1.0 Mathematics
Prerequisite
Text
“Reveal Geometry”, 1st edition, McGraw Hill
Standards Addressed
Common Cores Standards for Mathematics Grades 9-12
High School: Geometry
Congruence - CCSS.MATH.CONTENT.HSG.CO
- Experiment with transformations in the plane
- Understand congruence in terms of rigid motions
- Prove geometric theorems
- Make geometric constructions
Similarity, Right Triangles, and Trigonometry - CCSS.MATH.CONTENT.HSG.SRT
- 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 - CCSS.MATH.CONTENT.HSG.C
- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles
Expressing Geometric Properties with Equations - CCSS.MATH.CONTENT.HSG.GPE
- Translate between the geometric description and the equation for a conic section
- Use coordinates to prove simple geometric theorems algebraically
Geometric Measurement and Dimension - CCSS.MATH.CONTENT.HSG.GMD
- Explain volume formulas and use them to solve problems
- Visualize relationships between two-dimensional and three-dimensional object
