Understanding Sets and Venn Diagrams for Classification
Explore the concept of sets to categorize numbers and objects, and utilize Venn diagrams to visually represent these sets. Learn key vocabulary such as intersection, union, and complement through examples and illustrations. Practice illustrating sets and solving related questions to enhance comprehension.
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Sets and Venn Diagrams We use the idea of sets to classify numbers and objects. We use Venn diagrams to illustrate these sets.
Sets and Venn Diagrams Example The sets A and B consist of the numbers 0, 1, 2, 3, , 9 so that Set A = {4, 7, 9} Set B = {1, 2, 3, 4, 5} Illustrate these sets in a Venn diagram
Sets and Venn Diagrams Example The sets A and B consist of the numbers 0, 1, 2, 3, , 9 so that A B Set A = {4, 7, 9} Set B = {1, 2, 3, 4, 5} Fill in the Venn diagram on your whiteboards
Sets and Venn Diagrams Compare your whiteboard to the solution Did you have any mistakes?
Sets and Venn Diagrams Key vocabulary: intersection The intersection of A and B = {4} Think of the word AND.
Sets and Venn Diagrams Key vocabulary: union The union of A and B = {1,2,3,4,5,7,9} Think of the word OR.
Sets and Venn Diagrams Key vocabulary: complement The complement of A ={0,1,2,3,5,6,9} What do you think complement means?
Sets and Venn Diagrams Key vocabulary: complement Think of the word NOT. The complement of A = {0,1,2,3,5,6,9} What is the complement of B?
In your books Answer the questions on worksheet 1 in your books.
Set Notation We use the idea of sets to classify numbers and objects. We use Venn diagrams to illustrate these sets.
Sets and Venn Diagrams Key vocabulary: intersection Notation: This can be written as ? ?
Sets and Venn Diagrams Key vocabulary: union Notation: This can be written as ? ?
Sets and Venn Diagrams Key vocabulary: complement of A (everything not in A) Notation: This can be written as ?
Sets and Venn Diagrams Other notation: We use (small Greek letter xi) to represent the universal set, that is the set from which we are choosing numbers or objects. ? ? means that A is a subset of B. In other words every element of A is contained in the set B. is the empty set. In other words, a set with no numbers (or objects).
Extra question Think of the words AND, OR and NOT to try to figure out the more complicated questions.
