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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?


Any closed figure formed by three or more line segments is called a polygon. The word "polygon" derives from the Greek words poly (many) and gonu (knee). So a polygon is a thing with many knees! Think about the shape of a stop sign, the floor in a room, and a saw blade. Notice that the shapes above do not all look alike, but they do all have one thing in common. What is it?