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

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