MATH BLASTER

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MATH BLASTER

• Make a list of things people collect. Describe 3
  examples items in each collection.

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MATH BLASTER

• Explain the purpose of a Venn Diagram.
• Make a Venn Diagram to
• compare Georgia to Mexico.

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MATH BLASTER

• Think of a standard
• deck of cards
• What is the SET?
• What are the ELEMENTS?
• What are the SUBSETS?

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MATH BLASTER

• Tell what each symbol MEANS
• ? ?
• ? ? Ø
• When working with sets, when
• do I use union and when do I
• use intersection?

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MATH BLASTER
Draw and describe the diagram in set theory
notation.
B
A
C
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MATH BLASTER
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A ? B A' B' (A ? B)' (A ? B)'
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13
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Set Theory

• Today we will learn a mathematical way for
  describing items in a set.

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Set- A collection of things (can be as
many things as you want)

• Set of integers
• Set of fractions
• Set of even number
• Set of prime numbers
• Set of vowels

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Elements- each item in the set ?

• Insert ? or ? to make each statement true.
• Broccoli ____ red vegetable
• -1 ____ integer
• A ____ alphabet
• 3 ____ even number
• Circle ____ quadrilateral

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Subsets a set within another set ? (every
element in 1st set must be in 2nd sets)

• Determine whether the 1st set is a subset of the
  2nd set.
• Qwhole s R real s
• H rhombus G rectangle
• Cconsonants D alphabet
• A 1,2,3,4,5 Bintegers

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Intersection elements that are in both sets ?

• Find the intersection of the sets.
• Z0,1,2,3 T 2,4,6,8
• D5,10,15,20 F 10,20,30
• R positive multiples of 2
• S even integers

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Union- combine elements of both sets together ?

• A 1,2,3,4,5 B 5,7,9,11,13
• Nnegative integers Mwhole numbers
• L Xgt5 MX lt 10

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Empty Set / Null Set- A set which has no elements
Ø

• living unicorns Ø
• Santa Clause, tooth fairy, Easter bunny Ø

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Disjointed set- two or more sets that do not have
any common elements

• 1, 3, 5, 7, 9, ... ? 2, 4, 6, 8, 10, ...
• Jess, Karen, Bob ? Lisa, Kim, John
• Make up your own disjointed set

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Complement of a Set - all elements not contained
in a given set.A'
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Draw Venn Diagram to find relationships between
the sets.

• First 10 multiples of 4
• First 10 multiples of 6
• P -3,-2,-1,0,1,2,3,4,5
• Q -6,-5,-4,-3,-2,-1,0

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Questions.

• P ? Q __________________
• P ? Q _____________
• How many elements are in P ? Q?