## prologue

## act one

- 1. Which container will hold more popcorn?
- 2. Write down a guess.

## act two

- 3. What information would be useful to know here?

## act three

## sequel

- 4. Can a rectangular piece of paper give you the same amount of popcorn no matter which way you make the cylinder? Prove your answer.
- 5. How many different ways could you design a new cylinder to double your popcorn? Which would require the least extra paper?
- 6. Is there a way to get more popcorn using the exact same amount of paper? How can you get the
*most* popcorn using the same amount of paper?