Geometry Module 2

Dear Students: Here are some materials that we will be using in studying transformational geometry. Here we are doing following activities/assignments from the attached resources: Transformational Geometry Activity I. (October 6th- October 12th) Usiskin Peressini Marchisotto Stanley’s Mathematics for High School Mathematics Teachers- An Advanced Perspective. Assignments (DUE October 12th) Transformational Geometry Activity II. (Complete this assignment until October 19th) MODULES2(Mathematics Of Doing, Understanding, Learning, and Educating for Secondary Schools) materials on Isometric Transformations. We focus here on the compositions of transformations and the relationships in between transformations (translation, rotation, and reflection). Assignments: (DUE October 19th) 1. #Complete p23-24. Formal Writing Assignment- Composing Isometries. 2. Complete the task P.38 When does the order not matter? advance perspective.pdf Read 7.1 Definitions of Congruence from Euclid to Modern Times Describe the main differences of conceptions of Congruence over time. On page 302 complete #3, #4, # 6 Prove that translation is an isometry. Explain why the composition of translations is commutative. Complete the problems #1, #2 and #3 on page 305-306 from 7.2.1. Read 7.1 Definitions of Congruence from Euclid to Modern Times
Describe the main differences of conceptions of Congruence over time.
On page 302 complete #3, #4, # 6
Prove that translation is an isometry.
Explain why the composition of translations is commutative.
Complete the problems #1, #2 and #3 on page 305-306 from 7.2.1.