Examples Of Problem-Solving Problem Solving

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A Description of the Problem For the problem-solving report, we have a 4x4 grid that we have to find as many rectangles as we can. The rectangles that can be found on the 4x4 grid ranges from 1x1 rectangles to a 4x4 rectangle. According to MathisFun.com a rectangle is, “a 4-sided flat shape with straight sides where all interior angles are right angles (90°). Also opposite sides are parallel and of equal length. Example: Another factor we have to consider is the lines provided on the 4x4 grid must make up the sides of the rectangles.
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.
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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:

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