Penny Circle
by Dan Meyer
skips
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
 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 noteDepending 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
 VideoAnswer
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?
 VideoAnswer
show 52 more questions


How many pennies will it take to fill this new circle? (Your on a roll here, Dan!)



How many pennies will cover that circle. Also, How did you get such an awesome farmer's tan?











What equation could respresent the relationship between the number of coins and the size of the circle?






Is there a relationship between the number of pennies and the size of the circle?

Are the ratios of number of pennies to the area of the circles proportional??





















Can you find the circumference of a circle if you know the diameter of a penny?








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