The Venn Diagram is a graphic organizer and concept tool that has been used in classrooms across the country for years but I have never seen them used in a way to compare and contrast such math concepts as greatest common factor and least common multiple. Before now I have only seen them used in Language Arts lesson to compare and contrast two pieces of literature or characters from a story or other things we see in the written world. After stumbling on this web site my views about the Venn Diagram have forever changed. The article I found on www.misterteacher.com talked about using the Venn Diagram to teach the sometimes complicated math concepts of greatest common factor and least common multiple. The diagram below shows how the factors of 21 and 27 not only have factors that only produce them as a total but also factors that produce both 21 and 27.

I had never thought of using a Venn Diagram in this way. I really think that this an amazing way to help children visualize that numbers can have more than one factor and how numbers connect in multiplication as well as in all concepts of math. I will definitely pass this site along to my fellow teachers and educators. I also plan to use this form of teaching GCF and LCM in my own math lessons because it is a great visual way to again show the connections that numbers have with each other as well as help my students conceptionally visualize how to do GCF and LCM problems not only in their classwork and homework but out in the real world.
Cheers until my next posting.
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