Venn diagrams and sets of elements can become frustrating and confusing if there is no understanding of key words, like intersection and union. The symbol for intersect is ∩ and the symbol for union is U. Intersect means there is a overlap in a set of elements or a overlap in a Venn diagram. Union means the joining in sets between a set of elements or in a Venn diagram.

An example of a Venn diagram is separating elements into sets by shape (hexagonal) and color (red). This means in the hexagonal area of the circle the hexagonal elements that are not red will be placed and in the red area of the circle the red elements that are not hexagonal will be placed. This means that the red hexagonal elements will be placed in the center of the Venn diagram. It is pretty easy to separate elements into these groups, but understanding what each area means can be more challenging.

In order to understand the areas of the Venn diagram it is necessary to put the elements into sets. The elements are categorized by size, color, and shape; for example, the LYH stands for** L**arge (shape), **Y**ellow (color), **H**exagonal (shape). **Hexagonal**: {LYH, LBH, SYH, SBH, LRH, SRH} **Red**: {SRS, LRC, LRT, SRC, LRS, SRT, LRH, SRH} **Hexagonal ∩ Red**: {LRH, SRH} **Hexagonal U Red**: {LYH, LBH, SYH, SBH, SRS, LRT, SRC, LRS, SRT, LRH, SRH, LRC} These sets can clearly be explained by the Venn diagram activity I did in class. Understanding Venn diagrams and patterns can be difficult at times, but listing elements and drawing a picture are great problem solving techniques that can help to understand the question.

Class Activity