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Think about the student work you just observed and reflect on the following questions. When you've formulated an answer to each question, select "Show Answer" to see our response.
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Question: How does this problem extend students' reasoning about patterns?
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Sample Answer:
There is more than one correct solution, which makes having students explain their reasoning an important part of proving that their pieces fit the pattern they've observed.
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Question: How did these students justify their thinking?
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Sample Answer:
By verbalizing their patterns, they could hear as well as demonstrate that their solutions were correct, as they understood the pattern.
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Question: How did Caleb's pattern differ from Martina's?
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Sample Answer:
Martina's pattern was based on one attribute: color. Caleb's pattern was based on two attributes: size and shape.
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Question: Why is it helpful for students to see examples of different patterns that can continue the same sequence, as with Caleb and Martina?
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Sample Answer:
It can help students learn not to be too quick to generalize patterns from only a few examples. This is particularly important in later grades as patterns become more complex.
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Question: What questions or suggestions would you have for students who are having difficulty recognizing patterns?
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Sample Answer:
Describing the individual pieces aloud and pointing at them as they do so will enable the students to both hear and see the patterns as they move along the chain.
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 Observe a kindergarten class solve a similar problem
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