VENN DIAGRAMS A VENN DIAGRAM IS USED TO

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VENN DIAGRAMS

VENN DIAGRAMS

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers These

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers These numbers needed to be sorted into multiples of 3 and even numbers

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 go inside this

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 go inside this circle Even numbers

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers go

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers go inside this circle

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers Numbers.

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers Numbers. . . because that are multiples they belong of 3 and to both evencircles. numbers go here. . .

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers Numbers

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Even numbers Numbers that are not multiples of 3 and not even, stay on the outside.

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5 We need to sort these numbers into either multiples of 3 or multiples of 5 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5 Multiples of 3 go inside this circle 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5 go inside this circle 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5 NUMBERS THAT SO ARE THEYMULTIPLES ARE IN BOTH OF CIRCLES 3 AND 5 GO HERE 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 5 NUMBERS THAT ARE NOT MULTIPLES OF 3 OR 5 STAY OUTSIDE THE CIRCLES 3 5 25 30 15 40 17 23 27 33 55 36 18 45 60 12 2 100

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 6

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 6 Which numbers go in each space? Multiples of 10

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 6

A VENN DIAGRAM IS USED TO SORT THINGS Multiples of 3 Multiples of 6 The numbers remaining don’t belong in any circle, so stay on the outside. Multiples of 10 No number here is a multiple of 6, without being a multiple of 3 too!

We will use Venn Diagrams for a more advanced purpose… Remember, Probability of an

We will use Venn Diagrams for a more advanced purpose… Remember, Probability of an event occurring =

Ms. Avery conducted a survey of her students. She asked her students what flavor

Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate Vanilla

Ms. Avery conducted a survey of her students. She asked her students what flavor

Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate Vanilla 2

Ms. Avery conducted a survey of her students. She asked her students what flavor

Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate 10 Vanilla 2

Ms. Avery conducted a survey of her students. She asked her students what flavor

Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate 10 Vanilla 2 5

Ms. Avery conducted a survey of her students. She asked her students what flavor

Ms. Avery conducted a survey of her students. She asked her students what flavor ice cream they like. 12 students like chocolate; 7 like vanilla; 2 like both; 24 students surveyed. Students of Ms. Avery Chocolate 10 7 Vanilla 2 5

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. ) 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate)

Finding Probability Students of Ms. Avery Chocolate 10 Vanilla 2 5 7 1) P(Chocolate) 2) P(Vanilla) 3) P(Chocolate Only) 4) P(Vanilla Only) 5) P(Chocolate & Vanilla) 6) P(Neither Choc. nor Van. 7) P(Chocolate. l Vanilla) 8) P(Vanilla l Chocolate)

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