Part1
Town Needs a Pool
A brand new research town in Alaska needs a swimming pool. Joanne Truman, a member of the research team, has hired you to design the new pool. She has already chosen one-foot square limestone tiles to be put on the bottom of the pool. These tiles are very expensive and Joanne has decided the town can only afford 36 tiles. Using these tiles, Joanne wants you to find all the possible designs for the rectangular pool. She does not want any tiles left over. It is important that Joanne see all the possible pool designs before selecting one. You must explain how you know you’ve found all the possible rectangular designs. You should use pictures, numbers, and words to explain your thinking. Organize your results so it is easy for Joanne to understand your research and make a decision.
Part 2
*Making Decisions*
Joanne has looked over your results and still can’t decide what size to make the pool. She needs your help. Here are things for you to think about when deciding the design for the pool:• Joanne wants to put a no-slip tile walkway all the way around the rectangular pool. Each no-slip tile is 1 foot square and costs $4.00.
• Joanne is also concerned about other children in the neighborhood wandering over to the pool. This would be very unsafe. She needs to put a rectangular fence around the pool and walkway. The fence costs $6.00 for two feet.
Given this information, what is the cheapest design for the pool? Joanne wants to make sure you’re giving her the best deal. She is worried you might be trying to cheat the town into getting the more expensive pool. You do not want to lose her business. You must use pictures, numbers, words, or a chart to explain how you found out which pool design was the cheapest (or give the cost of the walkway and fence for each).
Part 1: How many ways are there to design a rectangular pool with 36 tiles. (Clare's work)
Part 2: If you build a walkway and fence, what is the cheapest pool? (Charlie's work)
No comments:
Post a Comment