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)