![]() ![]() In other words, all double digit prime numbers are odd. In this example one set is empty! This tells us that there are no double digit prime numbers that are not odd. ![]() This diagram compares double digit numbers, odd numbers and prime numbers. You can now compare three sets and examine where each of them overlaps with the others. Three way Venn Diagrams take things to the next level. In fact, there is only one single number that is prime but not odd. You can see that by changing just one of the sets we’re looking at (Even Numbers to Odd Numbers) we end up with quite a different diagram! These two sets have far more overlap than the original two sets we examined. While this one, changes just one set to compare odd numbers and prime numbers. This diagram shows that the sets of even numbers and prime numbers have very little overlap. This diagram compares even numbers and prime numbers. ![]() Each side represents a set and the middle section, which overlaps, represents similarities between the two sets. The most popular type of Venn Diagram is the famous diagram which is comprised of two overlapping circles. A favorite for teaching set theory and compare/contrast lessons. It’s safe to say though, that despite their fleeting internet popularity Venn Diagrams are still an educational staple. Check out the examples below for an idea of what we’re talking about. Venn Diagrams have now been coined the perfect tool for making absolutely ridiculous comparisons. They lost their serious academic nature and exploded as a favored comic tool of bloggers. In the mid 2000s Venn Diagrams became an internet sensation. Take a look at the philosophical example below. Venn Diagrams were first popularized by logician, John Venn in 1880, but research suggests that similar diagrams have been around since the mid 13 th century! Philosophers and mathematicians were the first to use Venn Diagrams as comparison tools and visual representations of their findings.Įarly Venn Diagrams were quite serious. I often ask pairs and groups to share one way in which they are alike, and one thing that made each student unique.Venn Diagrams are often seen flying around the internet as shareable memes and political commentaries, but these diagrams originated as a respected educational tool. When students finish, you may want to have them share with the class what they have learned about one another. It can help to write suggested topics (favorite foods, hobbies, talents, number of siblings, pets, etc.) on the board and circle around to prompt students as they work. Keep in mind that some students will begin conversing without much prompting, while others will need a little support. Students note ways in which they are unique in the area where the circles don’t intersect. In the space where the circles intersect, they write the things they have in common. Partners and groups of three talk about themselves- their interests, families, backgrounds, likes, and dislikes. To begin the activity, ask each student to write his/her/their name just outside of one of the circles. I have either drawn the circles myself to photocopy or found Venn diagrams online. After I tried having students draw the Venn diagrams themselves, I found that giving them copies of pre-made Venn diagrams works best because it is tricky to draw intersecting circles with spaces large enough to write. ![]()
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