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Penny Circle

48
skips
52
questions

Act One

• Dan Meyer

September 24, 2012

How many pennies will fill the large circle?

• 1.

What's a number you know is too high?

• 2.

What's a number you know is too low?

Act Two

• 3.

What information would be useful to know here?

• ImageThe diameter of the large circle
• 4.

How can we use smaller circles to figure out how many pennies are in the big circle?

• FileEmpty Circles
• FileFull Circles
• Teacher note
Depending on your available time and materials, give students the empty circles handout, a ruler, and pennies so they can collect their own data. Or if you're more pressed for time give them the full circles handout so they count.

Act Three

Sequel

• Image2000 pennies
• 5.

How big is the smallest circle that would enclose 2,000 pennies?

• 6.

How many pennies lie along the circumference of the big circle? Do you think that model will be quadratic also? Why or why not?