Gbk geometry
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GBK Geometry PowerPoint PPT Presentation


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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

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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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