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TRANSFORMATIONS (CONTINUED)

Learn about basic transformations in math including reflections, translations, and rotations. Explore examples and student work to understand misconceptions. Homework included.

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TRANSFORMATIONS (CONTINUED)

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  1. TRANSFORMATIONS(CONTINUED) Math AllianceFebruary 01, 2011

  2. Warm-up #1

  3. Translations from Reflections Draw round a trapezoid tile on a blank sheet of paper Translate your tile in some direction (not parallel to any side of the paper) and draw round it again Draw 2 lines on your paper, so that successive reflections in the two lines will give your translation

  4. Warm-up #2

  5. A’ B’ A D’ C’ D C B Given the rotation, find two lines such that successive reflections in the lines result in the given rotation. Are there other possibilities?

  6. Rotations from Reflections Draw round a trapezoid tile on a blank sheet of paper Move your tile in some way, turning it (but not flipping it over), and draw round it again Draw 2 lines on your paper, so that successive reflections in the two lines will give your rotation

  7. What do these examples show? ANY rigid motion in the plane is in fact a composition of, at most, 3 reflections. Reflections are in some sense the most basic of the rigid motions.

  8. At your tables, discuss: Elizabeth took the parallelogram below and performed some flips, slides, and turns with it. When she finished, she claimed she had a rectangle. Is it possible that her claim was correct? Why or why not?

  9. Looking at Student Work • Look at the student work examples on page 662 in your books. • As a table group, answer the three questions to the right. • What was each student thinking? • What misconceptions did each student have? • Other reactions?

  10. Homework: • Section 11.1: #’s 11, 16, 22, 24, 35, 39, 51 • Consider using some or all of #42 as a CABS for your students at some point in time during the year (This is not homework). If you do, please bring in examples of student work to share!

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