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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Review HW on Proofs; Questions? Area Proof Work Homework / Questions Clean-up. About Area. 1. We have: the Area Postulate the rectangle area postulate the square area theorem the right triangle area theorem We want:

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Review HW on Proofs; Questions? • Area Proof Work • Homework / Questions • Clean-up

  3. About Area 1 • We have: • the Area Postulate • the rectangle area postulate • the square area theorem • the right triangle area theorem • We want: • Area theorems for: • Maybe also theorems for: 2  A1 = A2 3 = = + 4 5 4 5

  4. Random Groups (1) • Ruth / Trevor • Atticus / Jade • Ally / Bridget • Keelan / Izzy • Callan / Celeste • Colton / Nathan / Jared

  5. Random Groups (2) • Graden / Shelton • Colby / Eva • Kai / Emily • Lucas / Kaitlyn • Sydney / Chester • Collin / Claire / Grace

  6. Random Groups (7) • Erin / Avery • Kesh / Nima • Megan / Sam / Olivia

  7. Puzzle: Cube DissectionProgress? 3” x 3” wooden cube  twenty-seven 1” x 1” cubes Possible with fewer than six cuts?

  8. Homework • Take 20 minutes tonight to do this: • Work on proofs: • 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 = ???where b1 and b2are the bases and h is the altitude • Write down facts that might help prove/disprove your conjectures. • Log any conjectures you come up with; mark any conjectures that you prove. • Bring in what you’ve written and drawn, for me to check off in class.

  9. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and back tables). • See you tomorrow!

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