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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Warm-up / Practice Quiz Puzzle Wrap-up Lab Homework / Questions Clean-up. Practice Quiz. Draw a rectangle that is 3” tall and 4” wide. Check with your protractor that it has 90° angles. Compute the area of your rectangle.

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Warm-up / Practice Quiz • Puzzle Wrap-up • Lab • Homework / Questions • Clean-up

  3. Practice Quiz • Draw a rectangle that is 3” tall and 4” wide.Check with your protractor that it has 90° angles. • Compute the area of your rectangle. • With your compass and straightedge only, bisect one of its angles. • Using only yourcompass and straightedge, bisect two sides of your rectangle, making a rectangle that is both half as wide and half as tall as the original rectangle. (Your two rectangles should share a vertex.) • Does the bisector from step 3 intersect a corner of the rectangle for step 4?

  4. An Approximate Trisection(Maurice d’Ocagne, 1934) • Instructions: • Draw a 72° angle. Label the vertex O. • Draw a circle centered at O. • Let A and B be the points where the circle meets O. • Extend line OB away from the angle to intersect the circle at a second point; label this point C. • Bisect CO, and let D be the midpoint of CO. • Draw segment AB, bisect it, and let E be the point where the bisecting line meets the circle. • Draw line DE.

  5. Solution?

  6. Upcoming Events • For Monday: Asg #5 • For Tuesday: Asg #6 • Start this one before Monday night! • Unit 1 Test will be Thursday, 9/19 (for periods 1, 2) or Friday 9/20 (for periods 5, 7).

  7. Lab Work • In the computer lab, you may work on: • Constructions in GeoGebra • (use your construction log) • Show me if you want me to sign off on any constructions • Constructions with compass & straightedge • Khan Academy exercises • Asg #5, Asg #6 • Review problems from Asg #1-4 • Week 3 Journal

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

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