Research George Polya’s problem-solving principles and techniques from the AIU Library or on the Internet.
Although the scenarios below are not specific mathematical situations, they will require application of Polya’s principles to obtain a reasonable solution.
Choose 1 of the following scenarios:
After everything is mixed into a cake batter, you are supposed to pour it into a floured 12 in. by 18 in. by 1 in. sheet cake pan. However, all you have is a 9 in. by 14 in. by 1 in. pan, an 8 in. square pan 1 in. deep, and two 8 in. diameter round pans 1 in. deep. Your 46 guests will be arriving shortly, so you do not have time to go to the store to get the correct-sized pan. How will you have enough cake for each guest to have a piece without wasting too much batter?
Follow Polya’s principles to solve your problem.
o Explain your interpretation of what the problem really is about and what the consequences are if the problem is not solved (i.e., do you understand the problem?).
o Develop and write down a strategy for solving this problem. What do you need to know or do to solve this problem?
o Use your strategy to attempt to solve your chosen problem; show the steps in the correct order for your attempted solution.
o Did your strategy actually solve the problem? How do you know?
o Suppose that your solution did not solve the problem. What would be your next action?