These are a great tool when discussing percentages in a survey of people. For our example we used winter sports, the survey included the following categories:
a. people who snowboarded
b. people who skied
c. people who snowshoed
d. people who snowboarded and skied
e. people who skied and snowshoed
f. people who snowshoed and snowboarded
g. and people who did all three.
They would fit within the Venn diagram like so:
Figuring out how to fit all of the numbers into each category taking into account that theoretically someone who falls under the "likes snowboarding" category could also "like skiing" and could potentially "like all three" is a great mathematical challenge that we were able to address.
Primarily the concept of starting at the center amount and using that to work your way to the outside numbers.
For a more detailed walk through of a Venn diagram word problem I've provided a video:
I was extremely confused with these types of problems when we started to learn this concept, for it was just not clicking to me. The video that was shown in class was a tremendous help however, because the problem was broken down into smaller parts, making it easier to grasp the concept. I think that was a great idea to include that video in your blog because the video showed in class was the main reason i understand the problem now. I like how you organized this post by the way!
ReplyDeleteI am very glad you included the video that was shown in class, that was the only thing that really helped me really learn these problems. Your picture was a great example of a Venn Diagram and the example was good because its exactly what we talked about in class. I'd just suggest next time show how the problem plays out like step by step or something but overall it was good.
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