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GBK Geometry. Jordan Johnson. Today’s plan. Greeting Warm-up Review Proof Work Area Proofs Homework / Questions Clean-up. Warm-up: Area. Find the areas of the brown polygons:. 7. 12. 5. 4. 4. 9. 8. 6. 4. 2. 12. Review. Questions on Asg #60 or #61?

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gbk geometry

GBK Geometry

Jordan Johnson

today s plan
Today’s plan
  • Greeting
  • Warm-up
  • Review Proof Work
  • Area Proofs
  • Homework / Questions
  • Clean-up
warm up area
Warm-up: Area
  • Find the areas of the brown polygons:

7

12

5

4

4

9

8

6

4

2

12

review
Review
  • Questions on Asg #60 or #61?
  • Questions regarding the parallelogram proof?
reminder open problem cube dissection
Reminder: Open Problem:Cube Dissection
  • Suppose you have a 3” x 3” wooden cube and want to saw it into twenty-seven 1” x 1” cubes.
  • What is the minimal number of cuts needed?
parallelogram area
Parallelogram Area
  • Given: Parallelogram WXYZ with base WZ = b and height h (from that base).
  • Prove: AWXYZ = bh
area formulas
Area Formulas
  • Area of a triangle = ½ bhwhere b is any side and h is the altitude to that side
  • Area of a parallelogram = bhwhere b is any side and h is the altitude to that side
  • Area of a trapezoid = ½(b1 + b2)hwhere b1 and b2 are the bases and h is the altitude
homework
Homework
  • Log 25+ minutes:
    • Start the trapezoid area proof
    • Tomorrow, bring in at least the proof setup and either (1) a complete proof, or (2) a partial proof and questions
    • Then, maybe:
      • Asg #60 or #61
      • Khan Academy recommendations
clean up reminders
Clean-up / Reminders
  • Pick up all trash / items.
  • Push in chairs (at front and back tables).
  • See you tomorrow!
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