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GBK Geometry

Today's lesson focuses on the relationships within quadrilaterals, particularly parallelograms. We will start with a warm-up on proofs, followed by an exploration of key theorems including the supplementary nature of consecutive angles in a parallelogram and the equality of opposite angles. Students will engage in group discussions based on "Walking Parallelograms," formulating conjectures, and write down their findings. Homework includes additional practice on quadrilateral concepts, with a reminder for tidiness in the classroom.

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GBK Geometry

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Presentation Transcript

  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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