In the lesson on dividing fractions, students might see a pattern of multiplying by the reciprocal. Students should, however, be asked if they understand why this method works. For this particular set of problems, this is a crucial question in their understanding of operations with fractions. Observing the pattern is not enough.
The same questions need to be asked regarding the problem from Investigations in Number, Data and Space. One of the key components in analyzing patterns is determining why they continue as they do, even "down the line."
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