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What to Know in Chapter 16: Transformational Geometry
To complete this chapter successfully student will:
1. Recognize (see and name) transformations including rigid and size transformations.
2. Define (both conceptually and abstractly) and use the four rigid motions: translation,
rotation, reflection, and glide reflection.
3. Given one transformation find a combination of two others that is equivalent to the first and
name these equivalence properties.
4. Find translation vectors, rotation centers and angles, and lines of reflection.
5. Use rigid motions to prove congruence.
6. Find the scale factor and find similarities.
7. Identify types of symmetry.
8. Analyze patterns using ideas of symmetry and transformations.
9. Determine border and wallpaper symmetry patterns.
10. Determine which polygons tile the plane.
11. Create Escher-like Tessellations.
12. Justify all geometric conclusions using definitions, theorem and reasoning.
CLASS LABS:
Problems:
The Geoboard manipulative that the book discusses is here.
Assigned
Work
day
Due
Date
5/30
6/4
6/5
6/5
6/6
6/7
6/6
6/7
6/11
Dot paper is here.
16.1 Transformations: 1, 8, 15, 19, 20, 23, 24, 28,
WR3 (show examples)
For #, use dot paper or copy the page from your book
16.2 Congruence and Similarity: 2, 5, 9, 14, 18
16.3 Problem Solving with Transformations.
One problem, TBA, to present to class