Set Operations and Venn Diagrams " Please respond to the following:

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.

...A Venndiagram is a drawing, in which circular areas represent groups of items usually sharing common properties. The drawing consists of two or more circles, each representing a specific group or set. This process of visualizing logical relationships was devised by John Venn (1834-1923).
Each Venndiagram begins with a rectangle representing theuniversal set. Then each...

...What are Venndiagrams?
A Venndiagram is an illustration of the relationships between and among sets, groups of objects that share something in common. Usually, Venndiagrams are used to depict setintersections (denoted by an upside-down letter U). This type of diagram is used in scientific and engineering presentations, in theoretical mathematics, in computer applications, and in...

...NOVEMBER 14,2012
1. What is set?
Answer: A set in mathematics is a collection of well defined and distinct objects, considered as an object in its own right. Sets are one of the most fundamental concepts in mathematics. Developed at the end of the 19th century, set theory is now a ubiquitous part of mathematics, and can be used as a foundation from which nearly all of mathematics can be derived. In mathematics education,...

...VennDiagrams Paper
Math 156
Jacqueline Burrell
May 13, 2012
Evan Schwartz, instructor
How VennDiagrams Can Help Students in Math
Venndiagrams are used in math to visually assist students when grouping real sets or implied ideas. The diagrams were invented by John Venn and are his only known accomplishments in the science of mathematical logic (Stapel,...

...VennDiagram – 4 Variables
In Shishu Vidyalaya, students study at least one of 4 subjects from Hindi, English, Science or Maths. The following additional information is known about the students in Shishu Vidyalaya
Subject(s) | Number of Students |
Hindi | 54 |
English | 77 |
Maths | 91 |
Science | 92 |
Further, it is also known that;
* 123 students study at least one of English and Science
* The number of students who study Maths-English-Science...

...Who is John Venn? John Venn was a very well rounded man who came from a family of men who were Evangelical Christians. His grandfather was a leader of the Clapham Sect that was big on campaigning for controversial subjects such as prison reform and abolition of slavery. John’s father was also a minster of a parish of Drypool near Kingston upon Hull in England where John was born. John was born on August 4, 1834 and only three years after that his mother died. He...

...
VennDiagram Paper
Tariek McLeish
MTH/156
University of Phoenix
Jennifer Durost
December 21, 2014
The VennDiagrams was invented by Jon Venn as a way of visualizing the relationship between different groups (Purplemath, 2014). VennDiagrams are an important learning tactic that helps students to learn how to graphically establish and compare concepts. They are often used in...

...MTH/156
Venndiagram Paper
Write a 350- to 700-word paper on how Venndiagrams can help students in math. Include the following in your paper:
Two to three specific examples
At least one reference
Venndiagrams are very useful in the education world. Teachers have used Venndiagrams to a multitude of ways. What is a Venndiagram? “Venn...

## Share this Document

Let your classmates know about this document and more at StudyMode.com