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Consider the first three figures of the pattern below.

Figure 1

Figure 2

Figure 3

  1. On your own paper, draw what Figure 4 of this pattern should look like.

    How many sides are in each figure shown?
    How many would you expect in the next figure?

  2. Using words, describe what Figures 5 and 6 should look like.

    If Figure 4 has 6 sides of the same length, how many sides should the next figures have?

    Figure 5 should have seven sides of the same length.
    Figure 6 should have eight sides of the same length.

  3. Using words, describe how the pattern is changing.

  • How is one figure different from the previous one?
    Think about how you answered part (b) and try to generalize this.