Geometry

Description:

Geometry is a one-year course that meets every other day. It requires a passing grade in Algebra I. Students will begin to formalize their geometry experiences from elementary and middle school, using more precise definitions and developing careful proofs. Students are encouraged and guided in the discovery of new geometric concepts. Analytic geometry connects algebra and geometry, resulting in powerful methods of analysis and problem solving. This course is aligned to the Common Core State Standards. Topics may include, but are not limited to: Tools of Geometry, Reasoning and Proof, Parallel and Perpendicular Lines, Constructions, Congruent Triangles, Relationships within Triangles, Polygons and Quadrilaterals, Similarity, Right Triangles and Trigonometry, Transformations, Circles, Area, and Surface Area and Volume.

PHS Learning Expectations:

• Access and critically analyze information to answer questions and explore ideas

• Utilize effective problem solving strategies

• Engage in work with integrity, both independently and collaboratively

• Use technology to discover and demonstrate knowledge

Standards:

HS.G.CO.A: 1, 2, 3, 4, 5 Experiment with transformation in the plane

HS.G.CO.B: 6, 7, 8 Understand congruence in terms of rigid motions

HS.G.CO.C: 9, 10, 11 Prove geometric theorems

HS.G.SRT.A: 1, 2, 3 Understand similarity in terms of similarity transformations

HS.G.SRT.B: 4, 5 Prove theorems involving similarity

HS.G.SRT.C: 6, 7, 8 Define trigonometric ratios and solve problems involving right triangles

HS.G.C.A: 2, 3 Understand and apply theorems about circles

HS.G.C.B: 5 Find arc lengths and areas of sectors of circles

HS.G.GMD.A: 3 Explain volume formulas and use them to solve problems

HS.G.MG.A: 1, 2, 3 Apply geometric concepts in modeling situations

HS.G.GPE.B: 4, 5, 6, 7 Use coordinates to prove simple geometric theorems algebraically