1) Start with one plain sheet of paper. Fold the paper in half (as shown). Open...

  

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1) Start with one plain sheet of paper. Fold the paper in half (as shown). Open the paper and count how many rectangular regions you have after one fold (see the figure below). 1 Refold the paper, and then, fold it in half again. Open the paper. How many regions do you now have? You should have four regions total, as shown below. 1 2 3 2 4 Continue this process of refolding and folding in half as many times as you can. Determine the relationship between the number of folds and the number of regions. a) Organize your data in a table. (2 points) b) Express the pattern you see in words. (1 point) c) Can you find a "formula" or "rule" that gives you the number of regions based on any number of folds? Justify your answer. (2 points) 1 1) Start with one plain sheet of paper. Fold the paper in half (as shown). Open the paper and count how many rectangular regions you have after one fold (see the figure below). 1 Refold the paper, and then, fold it in half again. Open the paper. How many regions do you now have? You should have four regions total, as shown below. 1 2 3 2 4 Continue this process of refolding and folding in half as many times as you can. Determine the relationship between the number of folds and the number of regions. a) Organize your data in a table. (2 points) b) Express the pattern you see in words. (1 point) c) Can you find a "formula" or "rule" that gives you the number of regions based on any number of folds? Justify your answer. (2 points) 1

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a No of bends No of rectangles 1 2 2 4 ... View the full answer