Venn Diagrams

Venn Diagrams are used to represent sets, and what the do or do not have in common. There are several ways in which sets can be related to one another.  Sets may have no common elements (which are called disjoint) or all elements in common (which are equal sets); or one set may be contained in another (which are subsets.)
 (Bennett, Burton, Nelson)

The U in the picture of the Venn Diagram above stands for universal; which mean everything that is contained in that diagram.

A and B are the two sets that are contained in the universal set.

The yellow part in this picture stands for what elements A and B share. The blue in the picture is where all the elements that do not fit into A or B go, since the are still part of the Universal Set.

-Example:

U = {0,1,2,3,4,5,6,7,8,9,}

A = {1,2,3}

B = {3,4,5,6}

In the picture above  the numbers 1 and 2 will be in the red section of the Venn diagram. The numbers 4,5,6, will be listed in the orange section of the Venn Diagram, and the number 3 will be listed in the yellow section of the Venn Diagram since both sets A and B share this number.

all the other numbers ( 0, 7, 8, 9) will be listed in the blue portion since they do not belong to either set A or B but are part of the Universal Set. 

When trying to find what numbers go where I find it easiest to draw out the problem. Making a picture makes you able to see what visually goes where.  

Citation:

Bennett, Albert B., Laurie J. Burton, and Leonard T. Nelson. Mathematics for Elementary Teachers: a Conceptual Approach. Dubuque, IA: McGraw-Hill, 2010. Print.


GAMES FOR VENN DIAGRAMS:
Interactive: Venn Diagram
Venn Diagrams
Illuminations: Shape Sorter
Video for Venn Diagrams ( A little more complex, this is very similar to what we were actually learning in my math class)