Patterns POW 3 Checkerboard Squares

POW 3: Checkerboard Squares
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Teacher Assessment
Scaled Score
1) Introduction: A good Introduction should restate the situation and specific task in your own words. DO NOT plagiarize!

Your introduction section should be written such that someone unfamiliar with the POW could read through your introduction, understand the problem, and work out the POW without reading your process section.

/ 4 / 20
2) Process: A good Process should clearly describe all methods that you tried in detail. If a method was unsuccessful, what did you learn from it and how did it shape your next approach to the problem? This section of your paper should outline your methods tried from the start of this problem to the end, whether or not you were able to find a solution. If you received assistance, describe how it helped (or didn’t help) you and what ideas or methods resulted from this assistance.

Your process section should be written such that someone unfamiliar with the POW could read through your steps, follow them precisely, and get the exact same answer as you.

/ 4 / 40
3) Attached Work: Attach all work you and your group members used to try and solve the POW.

/ 4 / 15
4) Solution: A good Solution should clearly state the total number of squares of various sizes on an 8-by-8 checkerboard.

Your solution should also generalize the results – that is, can you come up with a formula that would give the total number of squares of various sizes for a square checkerboard of any size (e.g. 4-by-4, 5-by-5, etc)?

In this section, you should prove why your solutions are correct. A solution section without explanation and justification of each answer will not receive full credit.

/ 4 / 25
Extra Credit: How many squares are there altogether, on any-sized checkerboard, when you put together m checkerboards that are each of the size m x m? For example, instead of calculating the total number of squares on one 4  4 checkerboard square, calculate the total number of squares on four 4  4 checkerboard squares. Calculate the total number of squares on five 5 x 5 checkerboard squares. Calculate the total number of squares on six 6  6 checkerboard squares and so on. Is there a pattern to this calculation? If there is a pattern, what rule describes this pattern? Explain/Justify your answer.

/ 5
TOTAL

/ 100

The following guide will be used to grade each section of your POW write-up/poster.
Score
POW 3: Checkerboard Squares Rubric (Applicable to each section of write-up)
4
Section contains an explanation/description that is detailed and well communicated.
3
Section contains an explanation/description that is satisfactorily communicated, but is not explained clearly due to some minor errors/omissions.
2
Section contains an explanation/description that is not well-communicated (or misunderstood) due to major and minor errors/omissions.
1
Section contains an explanation/description that is poorly communicated (or incorrect).
0
Section is not attempted.