prologue

act one

  • 1. Guess how many pennies the big circle will hold.
  • 2. Write down a guess you know is too high.
  • 3. Write down a guess you know is too low.

act two

  • 4. What information would be useful to know here?
  • 5. How can we use smaller circles to figure out how many pennies are in the big circle?

act three

sequel

  • 6. How big is the smallest circle that would enclose 2,000 pennies?
  • 7. How many pennies lie along the circumference of the big circle? Do you think that model will be quadratic also? Why or why not?