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Solutions for Session 10, Part B
See solutions for Problems: B1 | B2 | B3 | B4 | B5 | B6| B7| B8
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Problem B1 | |
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Answers will vary. One question might ask how to use the pictures to help find the relationship between the pool number and the numbers of white and blue tiles.
<< back to Problem B1
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Problem B2 | |
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Answers will vary. For the question above, you might discuss building each pool. For example, the blue part of Pool 1 is a 1-by-1 square and takes one blue tile, the blue part of Pool 2 is a 2-by-2 square and takes four blue tiles, etc.
<< back to Problem B2
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Problem B3 | |
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Answers will vary. At this level, many students will see that the blue tiles are always in the shape of a square, and that there are always an even number of white tiles. Some may recognize that the number of white tiles is always a multiple of four.
<< back to Problem B3
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Problem B4 | |
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Answers will vary. At this level, teachers should encourage students to describe the shape of the blue tiles. Ask students to tell you how to build the blue part of Pool 4. Then ask them to think about putting white tiles around that blue pool. How many white tiles do you need for the top? How many for the bottom? Now think about putting tiles around the sides.
<< back to Problem B4
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Problem B5 | |
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Answers will vary. At this level, students should actually build the pools with two different color square tiles, then describe what they built. The process of building will help students put the patterns into words. Many students will use all these skills when solving this problem. For students that are having difficulty, build only the blue part first.
<< back to Problem B5
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Problem B6 | |
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Answers will vary. All of the ideas described in the K-2 section are appropriate for this level student. Many students at this level will be able to answer questions posed the Grades 3-5 section.
<< back to Problem B6
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Problem B7 | |
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Answers will vary. Ask students to describe the directions that the toes of the shoes face, using words like up and left.
<< back to Problem B7
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Problem B8 | |
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Answers will vary. Ask students to repeat the pattern with you by saying: Up, left, up, left, up, left, up, ... . Now ask them to continue the pattern.
<< back to Problem B8
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