Suitcase Circle
by Dan Meyer
38
skips
skips
62
questions
questions
Act One
 1.
What's a number you know is too high?
 2.
What's a number you know is too low?
Act Two
 FileSuitcase Circle Handout
 Teacher noteWith this handout, students should attempt to construct the center of the circle. (One method, draw two chords and the perpendicular bisectors of those chords. The bisectors will intersect at the circle. From there, students will need to apply proportional reasoning to determine how many suitcases are in the entire circle, given the small arc they see.
You can also encourage students to import the image into constructive geometry software and perform the constructions there.
Act Three
 VideoAnswer
Sequel
 3.
What does adding one suitcase to the circle do to the diameter? What is the greatest number of suitcases you could fit in the building?
 Teacher noteAsk students to analyze carrots in the same way.
 FileCarrot Circle Handout
 ImageCarrot Circle Answer
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What is circumference of the circle that would be made by these suitcases if the pattern/rate continued?

























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