Posted: September 16th, 2022

# If Mary continues making these floor designs, what will be the total number of gray tiles in the 100th floor design?

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Solve to demonstrate your proficiency at doing the 5 NCTM Process Standards and the 8 Mathematical Practices. For each non-routine problem, your submission must contain (1) all computations, any “mental computations,” and the solution to that problem, including all work/trials & errors which led to the solution; (2) a paragraph explanation of how you derived your solution in complete sentences, and (3) a paragraph explanation of why you did what you did to solve the problem, in complete sentences. The “why” should not be “because I’m a visual learner” or some other vague statement similar to this; the “why” should explain “why” you did each “mathematical step” in your solution process and should reflect your use of the 5 NCTM Process Standards and the 8 Mathematical Practices. Accuracy, use of precise mathematical language, and appropriate logical reasoning will also be assessed in determining the number of points awarded for each non-routine problem. Mary used white and gray square tiles to make models of some floor designs. The first four floor designs are shown below. (Number and Operations) If Mary continues making these floor designs, what will be the total number of gray tiles in the 100th floor design?

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