GEOMETRY
Links:
PERIOD 1: https://msbilbos-geometry-class-period1.wikispaces.com/
PERIOD 5: https://msbilbos-geometry-class-period5.wikispaces.com/
PERIOD 7: https://msbilbos-geometry-class-period7.wikispaces.com/
Prerequisites: credit in Algebra I
Textbook: Geometry by Larson, Boswell, Kanold & Stiff; McDougall-Littell (2008)
Course Objectives (based on the Common Core State Standards for Mathematics):
- Experiment with transformations in the plane
- Understand congruence in terms of rigid motions
- Prove geometric theorems
- Make geometric constructions
- Understand similarity in terms of similarity transformations
- Prove theorems involving similarity
- Define trigonometric ratios and solve problems involving right triangles
- Understand and apply theorems about circles
- Find arc lengths and areas of sectors of circles
- Translate between the geometric description and the equation for a conic section
- Use coordinates to prove simple geometric theorems algebraically
- Explain volume formulas and use them to solve problems
- Apply geometric concepts in modeling situations
Course content & structure (based on Connecticut Department of Education recommendations):
- Transformations and the Coordinate Plane– September – October (5 weeks)
- Congruence, Proof & Constructions – October - November (5 weeks)
- Polygons – Triangles & Parallelograms – November - December (5 weeks)
- Similarity, Proof & Trigonometry– January - February (5 weeks)
- Circles & Other Conic Sections– February - March (5 weeks)
- Extend to Three Dimensions – April - May (5 weeks)
- Applications of Probability – May – June (5 weeks)