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SETS: Unions & Intersections
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What are these? Are there 2 groups here?
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There are 2 SETS of objects
Red objects: Fruits:
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How do we place them into a Venn Diagram?
Red objects: Fruits:
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We will be diagramming SETS OF NUMBERS using Venn Diagrams
Today: We will be diagramming SETS OF NUMBERS using Venn Diagrams
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TEAMS You will be working with your teams to complete the Venn diagramming worksheet! 10 minutes…
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What is a “SET”? A “collection”
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Sets are collections of what?
, Sets are collections of what? B={ } “ELEMENTS” ∈ Symbols: =“is an element of” ∉ =“is NOT an element of”
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How would you write: “7 is an element of B” in set notation?
∈ 7 B
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What is a SUBSET? Latin: “a Part of” ⊆ Symbol: =“is a subset of”
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What is a SUBSET in set B? B={ }
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How would we write “3 5 and 7 are a subset of B”?
⊆ {3 5 7} B
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We can perform operations on sets like we can perform operations on numbers
(And you already know 2 of them! )
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What did you find for #1 on your worksheet?
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What does the word “union” mean?
What does it mean when we find the Union of two sets A and B? We are finding the set that contains all elements of both sets, including the shared elements—only recorded once.
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Write this in front of your recorded answer in #1
#2. UNION Symbol: U How would we write the “union of set A and B”? AUB={ } Write this in front of your recorded answer in #1
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What is the second thing you were asked to find on your worksheet?
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What does the word “intersection” mean?
What does it mean when we find the Intersection of two sets A and B? We are finding the set that contains all elements of A that ALSO belong to B
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A∩B={13 17} #2. INTERSECTION Symbol: ∩
How would we write the “intersection of set A and B”? A∩B={13 17} Write this in front of your recorded answer in #2
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#1 on your NOTES Handout:
TAKE A LOOK…. C={ } P={ } #1 on your NOTES Handout: What are we asked to find?
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#2 on your NOTES Handout:
TAKE A LOOK…. C={ } P={ } #2 on your NOTES Handout: What are we asked to find?
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THINK….. What is the UNION and INTERSECTION of sets A and B? A={ } B={ } What is a SUBSET of A? Work in your TEAMS to answer the questions, And use the right SET NOTATION!
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THANK YOU!
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