Solution to the Problem:

I found there are 100 rectangles in a 4x4 grid.

General Problem:

(n^2 〖(n+1)〗^2)/4

Strategies to Finding the Solution: Once I understood what the question was asking, I tried to figure different methods that would simplify the problem.

*…show more content…*

This would prevent the students from getting overwhelmed, and it might help them work through their problem-solving strategies. Once I know, the students understood the process I would increase the difficulty. Doing this would still give struggling students the practice they need but in a positive way.

Insights and Observations This problem was very hard at times. I had to use all the problem-solving strategies. I began solving this problem by evaluating the problem. I did this when I read the problem. Then I gathered information by underlining key points found in the question. Once I found all the key points, I moved onto finding strategies to solve the problem. When finding strategies to solve the problem I used find a pattern, guess and check, make a table, make a list and modeling the problem. After using these strategies, I was able to figure out a good idea of what the answer was and how to form the general solution.

This problem solving report met many Common Core Standards. Some of the Common Core Standards that this problem solving report met are: