1.4_Swimming_Pool_Problem_Revised_08_23_10 - communicate...

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The Swimming Pool Adapted from “Experiences with Patterning” from Teaching Children Mathematics Tat Ming is designing square swimming pools. Each pool has a square center that is the area of the water. Around each pool there is a border of white tiles. Here are pictures of the three smallest square pools that he can design. 1. Draw Pool 4 and Pool 5. 2. Describe two different ways to find the number of tiles in the border. 3. Show each of these ways with at least two different mathematical representations (drawing, symbols, table/chart, verbal, formula) to
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Unformatted text preview: communicate the ideas. 4. Does the description depend on the previous term to find the next term or is it a general rule that will work for any term? 5. How many tiles would be needed for the border of Pool 10? Explain. Pool 100? 6. If you have exactly 64 white tiles in the border, what number pool has been built? 7. If there are 36 tiles in the pool, how many tiles are in the border? 8. Will there be a border that contains exactly 108 tiles? Pool Number 50 45 40 35 30 25 20 15 10 5 1 2 3 4 5 6 7 8 Number of Border Tiles...
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