## 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?