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For each of the following problems, consider how you would pose the same problem to your students. Would the wording need to change? Would you need to include more pictures? More detailed pictures? But remember we don't want to do TOO MUCH for the student. If we provide too much information, they will not need to think about what the question is asking.

Consider your problem-solving strategy for each of the following investigations. Is there another strategy that you could use? If so, which strategy would be more appropriate for understanding the concept?


Mathematics is sometimes defined as the science of patterns. What do we mean by a "pattern"? A mathematical pattern involves regularity. This regularity may manifest itself in shape, direction, orientation, size, or number relationships, among other things. The key to being a pattern is that there is some regularity that can be repeated, extended, or built upon.