Math 444/487 Geometry Week 1

Monday 9/29-Friday 10/3
    444 Home Page

  1. Week 1: 9/29-10/03

  2. Week 2: 10/06-10

  3. Week 3: 10/13-17

  4. Week 4: 10/20-24

  5. Week 5: 10/27-31

  6. Week 6: 11/03-07

  7. Week 7: 11/10-14

  8. Week 8: 11/15-21

  9. Week 9: 11/24-28

  10. Week 10: 12/01-05

  11. Week 11: 12/08-12

Math 444 JSP Page

Monday 9/29 444

  • Link to Concept Map for first two weeks (Topic = Congruence)
  • Announcements and introduction to the course. Make a Name Tag.
  • Experiment with congruence checking by paper folding.
  • Basic axioms
  • Properties of isosceles triangles.
Assignment

Wednesday 10/1 444

  • Turn in Assignment 1A Self-Report and Assignment 1A at beginning of class.
  • In groups, discuss your conclusions and proofs for the Kite Problem.
  • SSS proof from SAS and kite proof
  • Introduction to constructions with straightedge and compass.
    • Bisecting a segment or an angle
    • "Dropping" a perpendicular
Assignment
  • Bring a compass, ruler, protractor and scissors to class.
  • Read about constructions with straightedge and compass in B&B, pp. 172-175, 178 (bottom)-179, 181-182.Also, pp. 75-77 (Principle 7).
  • Assignment 1B due Friday, 10/3. Link to Answers.

Wednesday 10/1 487 Lab 1

  • Introduction to constructions with The Geometer's Sketchpad.
  • Construction of equilateral triangles and perpendicular bisectors
  • The 3 perpendicular bisectors of a triangle
  • Java Sketchpad Page: How to Copy a Triangle

Friday 10/3 444

Assignment
  • Read B&B, pp.72-73 (Principle 6), 75-77, 88-90 (Principles 10 and 11) for congruence (similarity later). Read class notes.
  • Assignment 1C due on Monday 10/6