We then went on to make our own figures and record the perimeter pins, interior pins, and area. We compared the classes results to see if we could find any pattern between the P, I, and A. Through observation, discussion, and guided questions on our packet, we ultimately came out with the formula A= 1/2P + I - 1. We could easily verify the formula by trying out different polygons and seeing if the formula was still applicable. I enjoyed this activity because it was hands on. Rather than just giving us a formula, we were able to discover and test the formula for ourselves. Since I was not familiar with Pick's Theorem, this activity allowed for a deeper understanding I would not have received had I just been given the formula.
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So far this has been my favorite activity we have done to learn geometry. How fun was to get our own board and rubber band to make our own polygon's and prove Pick's theorem... I agree that when you learn a concept using a hands-on activity is way more FUN..
ReplyDeleteIt was also the first time I heard about Pick's Theorem and what a perfect way to learn about it with such a fun activity.
Thanks for the picture which make easier to visualize the activity.
I enjoyed doing this activity, it was very hands on and i liked how we could see how area was involved. Counting the spaces inside the shape, it made learning about Pick's Theorem more fun. I understood more after this activity.
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