Venn Diagrams Paper
Math 156
Jacqueline Burrell
May 13, 2012
Evan Schwartz, instructor

How Venn Diagrams Can Help Students in Math
Venn diagrams 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, 2012). The diagram begins with all related information and is named the universal set. In this set all the known information pertaining to the problem or ideas are grouped. Within this group we have at least two subset or classifications. Information is placed in the correlating group. This information may overlap creating an intersection of the groups. This intersection shows the similarities of the groups and provides a basis for further conclusions based on the grouping of the diagram (Billstein, Libeskind, & Lott, 2010). Recognizing Shapes and Colors

Group A contains five (5) rectangles and three (3) triangles. All items in group A are red. Group B contains seven (7) triangles; four (4) are green. The other triangles are red. Draw a Venn diagram illustrating these conditions, and then answer the following questions by looking at the diagram (Burrell, 2012).

(Microsoft Office, 2012)
1. How many triangles are included in both groups A and B? 2. How many objects are included in group A and not in group B? 3. Write an equation to illustrate the union of A and B.
A group discussion following the exercise can include naming and identifying objects not in the diagram. An example would be hearts and circles (Burrell, 2012). Comparing ideas
Venn diagrams are useful in graphically organizing ideas and understanding logical probabilities. Students are asked how many have eaten crawfish and how many have eaten boudin. Both are a local favorite dish within my district. Six (6) students have eaten crawfish. I find eight (8) students have eaten boudin. Three (3) of the students...

...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 set of values in the problem is represented by a circle. Any values that belong to more than one set will be placed in the sections where the circles overlap.
The universal set is often the "type" of values that are solutions to the problem. For example, the universal set could be the set of all integers from -10 to +10, set A the set of positive integers in that universe, set B the set of integers divisible by 5 in that universe, and set C the set of elements -1, - 5, and 6.
The Venndiagram at the left shows two sets A and B that overlap. The universal set is U. Values that belong to both set A and set B are located in the center region labeled where the circles overlap. This region is called the "intersection" of the two sets.
(Intersection, is only where the two sets intersect, or overlap.)
The notation represents the entire region covered by both sets A and B (and the section where they overlap). This region is called the "union" of the two sets.
(Union, like marriage,...

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MTH/156Venndiagram 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? “Venndiagram, named after the Englishman John Venn, who used such diagrams to illustrate ideas in logic.” (Billstein, Libeskind, & Lott, 2010, p. 85). 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. One circle is set A, the other set B. Where the two circles meet is a subset of set A and B. This section is called the intersection. The intersection is where answers that contain both A and B properties are found. Venndiagrams are used to show relationships, to answer math word problems, and to organize answers or information. Let’s take a look at some examples.
A poll was take of 100 kids. The kids where asked if they had a pet. Out of the 100 kids, 30 answer they had only a cat, 40 answered they...

...Researchwork
In
Math 14
Submitted by:
Maria miguela t. merced
BSEEC,1A2-2
Submitted to:
Mrs. Marilyn m. obod
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, elementary topics such as Venndiagrams are taught at a young age, while more advanced concepts are taught as part of a university degree.
A set is a well defined collection of objects. Georg Cantor, the founder of set theory. A set is a gathering together into a whole of definite, distinct objects of our perception and of our thought which are called elements of the set.
The elements or members of a set can be anything: numbers, people, letters of the alphabet, other sets, and so on. Sets are conventionally denoted with capital letters. Sets A and B are equal if and only if they have precisely the same elements.
As discussed below, the definition given above turned out to be inadequate for formal mathematics; instead, the notion of a "set" is taken as an undefined primitive in axiomatic set theory, and its properties are defined by...

...STRAYER UNIVERSITY
Managerial Economics 550
ASSIGNMENT 1
Making Decisions on Demand and Forecasting
For Domino’s Pizza
Vernessa Blackwell
Professor Lundondo Mumeka
January 24, 2013
Introduction
A demand analysis is a very vital tool when a company is starting a new venture in a new market or when it needs to introduce a new product in the market. It would indeed be impossible to forecast the profitability of any business venture without analyzing the demand and the sensitivity of the industry and more so based on the location that the company would wish to venture in. Many companies have failed to meet their goals after ignoring this vital component and commencing operations without the adequate information about the market and the industry. Since the sole purpose of any business organization is to provide products and services that add value to the lives of their customers and at the same time earn profit, it important to study the dynamics of the market and to formulate strategies that will help the company achieve its goals and objectives.
Domino Pizza, an internationally renowned establishment, cannot fail to conduct a demand analysis as it ventures out in Waldorf area. Failure of this venture would negatively affect the company`s image and would also be a huge financial loss as setting up operations requires a lot of...

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VennDiagram Paper
Michelle R. Krueger
MTH/156
November 11, 2014
John Gillis
VennDiagram Paper
When you’re solving a word problem a student has they have to understand about what exactly is going on so they can solve the problem. This is where the VennDiagram comes in handy because it can help them organize words and numbers in a way they’ll understand. It’s hard to solve mathematical problems if illustrated relationships, statistics and improbability are involved. With that said, the students forced to expand their boundaries use a bigger mathematical methods then what they’re used to, in order to solve it. I wonder if VennDiagram is a lot easier than trying to figure the problem out through normal measures especially without the use of formative assessments?
Assessments are ways in which forms a worded problem into a list of organized information that can be used to make the problem easier for students. Assessments are also able to sum down a lot of information in a way that’s better for students to understand. This is so while they are evaluating the problem they’ll be able to compare, contrast and then evaluate what they need to do in the problem to solve it (Ministry of Education, 2011). VennDiagrams also teach students how to approach a problem so students can, “ask questions about similarities,...

...PART 1 MODULE 3 VENNDIAGRAMS AND SURVEY PROBLEMS EXAMPLE 1.3.1 A survey of 64 informed voters revealed the following information: 45 believe that Elvis is still alive 49 believe that they have been abducted by space aliens 42 believe both of these things 1. How many believe neither of these things? 2. How many believe Elvis is still alive but don't believe that they have been abducted by space aliens? SOLUTION TO EXAMPLE 1.3.1 When we first read the data in this example, it may seem as if the numbers contradict one another. For instance, we were told that 64 people were surveyed, yet there are 45 who believe that Elvis is alive and 49 who believe that they've been kidnapped by space aliens. Obviously, 45 + 49 is much greater than 64, so it appears that the number of people who responded to the survey is greater than the number of people who were surveyed. This apparent contradiction is resolved, however, when we take into account the fact that there are some people who fall into both categories ("42 believe both of those things"). A Venndiagram is useful in organizing the information in this type of problem. Since the data refers to two categories, we will use a two-circle diagram. Let U be the set of people who were surveyed. Let E be the set of people who believe that Elvis is still alive. Let A be the set of people who believe that they have been abducted by space aliens. Then we have the following...

...and VennDiagrams " Please respond to the following:
QUES: Create a story problem that demonstrates how a Venndiagram could be used to illustrate combined operation with sets.
ANS: Use a Venndiagram 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 Venndiagrams can be useful in explaining relationships. Provide an example in which you have used a Venndiagram to study a relationship between two items or sets.
ANS: The two reason I believe that a Venndiagram 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 Venndiagram 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...