Mth201 Research Paper
MTH/156
Venn diagram Paper
Write a 350- to 700-word paper on how Venn diagrams can help students in math. Include the following in your paper:
Two to three specific examples
At least one reference
Venn diagrams are very useful in the education world. Teachers have used Venn diagrams to a multitude of ways. What is a Venn diagram? “Venn diagram, named after the Englishman John Venn, who used such diagrams to illustrate ideas in logic.” (Billstein, Libeskind, & Lott, 2010, p. 85). A Venn diagram 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. Venn diagrams are used to show relationships, to answer math word problems, …show more content…
The kids where asked if they had a pet. Out of the 100 kids, 30 answer they had only a cat, 40 answered they had only a dog, 10 kids said they had both. Region A will be for the kids who had only a cat, region B will be for the kids who had only a dog, and region C will account for the number of kids who had both. To obtain the correct answers we must first start with the number of kids who said they had both a cat and a dog, put that answer in region C. Next we look at region A, the number of kids who said they only had a cat was 30 but 10 of the 30 is already accounted for so the answer would be 20. Next work within region B, 40 kids said they had a dog, but C overlaps with B so that gives is 10 of the 40 and leaves us with 30. Next I would ask the kids to add all the regions and to tell me the answer? This does not add up to 100, why do you suppose that is? What is the remaining number of kids that did not have a pet? Where do you think we should place this
Venn diagram Paper
Write a 350- to 700-word paper on how Venn diagrams can help students in math. Include the following in your paper:
Two to three specific examples
At least one reference
Venn diagrams are very useful in the education world. Teachers have used Venn diagrams to a multitude of ways. What is a Venn diagram? “Venn diagram, named after the Englishman John Venn, who used such diagrams to illustrate ideas in logic.” (Billstein, Libeskind, & Lott, 2010, p. 85). A Venn diagram 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. Venn diagrams are used to show relationships, to answer math word problems, …show more content…
The kids where asked if they had a pet. Out of the 100 kids, 30 answer they had only a cat, 40 answered they had only a dog, 10 kids said they had both. Region A will be for the kids who had only a cat, region B will be for the kids who had only a dog, and region C will account for the number of kids who had both. To obtain the correct answers we must first start with the number of kids who said they had both a cat and a dog, put that answer in region C. Next we look at region A, the number of kids who said they only had a cat was 30 but 10 of the 30 is already accounted for so the answer would be 20. Next work within region B, 40 kids said they had a dog, but C overlaps with B so that gives is 10 of the 40 and leaves us with 30. Next I would ask the kids to add all the regions and to tell me the answer? This does not add up to 100, why do you suppose that is? What is the remaining number of kids that did not have a pet? Where do you think we should place this