QUES: Create a story problem that demonstrates how a Venn diagram could be used to illustrate combined operation with sets.
ANS: Use a Venn diagram to illustrate the following scenario: There are 40 people in a drum corp. Of the 40 people, 20 play the snare drum; 10 play the trumpet; 5 plays the cymbals. There are 5 people that play both the snare drum and cymbals; and 3 play all three instruments. How many people don’t play any instruments?
QUES: Give two reasons why Venn diagrams can be useful in explaining relationships. Provide an example in which you have used a Venn diagram to study a relationship between two items or sets.
ANS: The two reason I believe that a Venn diagram might be useful are in the following circumstances:
1. To illustrate two (2) groups that have different preferences, such as, Football and Basketball and; also the combination of the two (2) for the ones that prefers both.
2. To show the similarities and differences of particular concepts, objects or groups.
An example where I have used a Venn diagram to study a relationship between two items has to do with a representing the similarities of two overlapping circles. “Cats” and “Animals in Africa,” where the area in which the circles overlapped provided the results for “Cats in Africa.”
QUES: Imagine you are talking about your college math class over the family dinner table with your father, and he asks, “What are Venn diagrams?” Describe how you would explain them to him.
ANS: I would explain to my father that, Venn diagrams are diagrams with overlapping circles. They are used to show the similarities and differences of particular concepts, objects or groups. Venn diagrams are relatively easy to learn how to use once you understand the core concepts involved. [continues]
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