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Math 444/487 Geometry Week 4

Monday 10/18 - Friday 10/22

    444 Home Page
  1. Week 1: 9/29-10/01

  2. Week 2: 10/04-08

  3. Week 3: 10/11-15

  4. Week 4: 10/18-22

  5. Week 5: 10/25-29

  6. Week 6: 11/01-05

  7. Week 7: 11/08-12

  8. Week 8: 11/15-19

  9. Week 9: 11/22-26

  10. Week 10: 11/29-12/03

  11. Week 11: 12/06-10

  12. Week 12. 12/13

444 Monday 10/18

  • TIMSS video shows a Japanese 8th grade class working on problem like problem 4.1.
  • Decomposition theory: how to get from any shape to a special rectangle. Critical step is cutting parallelogram.
  • Examples of decomposing objects to a square derived from tessellations.

Link to Class #9 Page

444 Wednesday 10/20

This class begins a big unit on similarity. Ratios for transversals in notebook paper. Definition of similarity. Introduction to Thales Theorem that connects parallels and similar triangles. Statement of three criteria for similarity of triangles: SAS, SSS, and AA. (Details left to reading.)

Construction of segments in given ratios. For example, 3/5 of a segment.

Link to Class #10 Page

487 Wednesday 10/20 Lab 4

  • Carpenter Locus theorem tells the location of all vertices of right angles ACB, for fixed A and B.

444 Friday 10/22

  • . Examples of constructions of numbers and analysis of similar triangle figures in special cases.

Link to Class #11 Page