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GBK Geometry

GBK Geometry. Jordan Johnson. Today’s plan. Greeting Warm-up proof Quadrilateral relationships Wrap up “Walking Parallelograms” Homework / Questions Clean-up. Proof Practice. Prove: Consecutive angles of a parallelogram are supplementary. Given: Parallelogram ABCD.

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GBK Geometry

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  1. GBK Geometry Jordan Johnson

  2. Today’s plan • Greeting • Warm-up proof • Quadrilateral relationships • Wrap up “Walking Parallelograms” • Homework / Questions • Clean-up

  3. Proof Practice • Prove: Consecutive angles of a parallelogram are supplementary. • Given: Parallelogram ABCD. • Prove:A and B are supplementary. • If you have time: • Prove: The opposite angles of a parallelogram are equal. • Add these theorems to your notes.

  4. Quadrilateral Relationships • Get out your Conjecture & Proof Log. • Add our first QL conjectures.

  5. Group discussion • Take out “Walking Parallelograms” and your notes • Discuss: • Question E • Question F • Write conjectures based on E. • Write your group’s opinion(s) on F. • Groups: • Bailey / Fiona / Josh • Brittany / Sean / Nils • Rhys / Alan / Max • Mika / AnaLea

  6. Group discussion • Take out “Walking Parallelograms” and your notes • Discuss: • Question E • Question F • Write conjectures based on E. • Write your group’s opinion(s) on F. • Groups: • Olivia / Ari / Makai • James / Jonah / Zach • Josselyn / Kay

  7. Group discussion • Take out “Walking Parallelograms” and your notes • Discuss Question E • Write conjectures based on E • Discuss Question F • Write your group’s opinion(s) on F. • Groups: • Jeremy R / Daniel / Mars • Toni / Robin / Ziah • Maya / Forrest / Allie • Sam / Jeremy H / Ava

  8. Group discussion • Take out “Walking Parallelograms” and your notes • Discuss Question E • Write conjectures based on E • Discuss Question F • Write your group’s opinion(s) on F. • Groups: • Sonja / Howard / Ali • Katie / Celeste / Anna • Max / Rowan / Shani • Emma / Willy • Sorel / Edison

  9. Homework • 25+ minutes: • Write conjectures about QLs. Maybe prove some. • Read Ch. 7 Lessons 2-3 • Asg#51-53 • Khan Academy problems • OK to make this up later in the week if you are involved in the winter sports banquet.

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

  11. Proof Practice • Prove: A rectangle is a parallelogram. • Given:Rectangle ABCD. • Prove: ABCD is a parallelogram. • Proof: • Angles A, B, C, and D are right angles by definition (of rectangle). • A = C =90° and B = D = 90° by def. of right angle. • ABCD is a parallelogram (by Theorem since its opposite angles are equal).

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