VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method...

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Transcript of VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method...

Page 1: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.
Page 2: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

WHAT IS A VENN DIAGRAM?

Page 3: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

VENN DIAGRAMS

“VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set into a circle or circles.”

Ric Pimentel & Terry Wall,IGCSE Mathematics.

Cambridge, 1997, p. 32

Page 4: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

VENN DIAGRAMS

“VENN DIAGRAMS are the principal way

of showing sets

diagrammatically. The method consists primarily of entering the

elements of a set into a circle or circles.”

Ric Pimentel & Terry Wall,IGCSE Mathematics.

Cambridge, 1997, p. 32

Page 5: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

What is a SET?

What are ELEMENTS?

Page 6: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

VENN DIAGRAMS

SETS: a defined group of objects or symbols.ELEMENTS: objects or symbols inside a SET.

Page 7: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

WHAT NAME WOULD YOU GIVE TO THE FOLLOWING SET?

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

Page 8: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

LIST ALL THE ELEMENTS OF THIS SET

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

Page 9: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

LIST ALL THE ELEMENTS OF THIS SET

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

ELEMENTS:• pen• book• calculator• pencil• notebook

Page 10: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

THIS IS A SET THAT DESCRIBES THINGS THAT YOU CAN USE TO WRITE:

PEN

PENCIL

MARKER

CRAYON

COLORS

Page 11: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

THIS TWO ELEMENTS ARE ALSO ELEMENTS OF THE PREVIOUS SET!!

PEN

PENCIL

MARKER

CRAYON

COLORS

Page 12: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

Let’s call the PURPLE SET “SET A”, and the GREEN SET “SET B”.

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

MARKER

CRAYON

COLORS

A B

Page 13: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

List all the elements of A.

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

MARKER

CRAYON

COLORS

A B

Page 14: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

List all the elements of A.

ELEMENTS:• pen• book• calculator• pencil• notebook

Page 15: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

List all the elements of B.

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

MARKER

CRAYON

COLORS

A B

Page 16: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

List all the elements of B.

ELEMENTS:• pen• pencil• marker• crayon• colors

Page 17: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

USING “SET NOTATION”

A = {pen, book, calculator, pencil, notebook}

B = {pen, pencil, marker, crayon, colors}

Page 18: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

USING “SET NOTATION”

A = {pen, book, calculator, pencil, notebook}

B = {pen, pencil, marker, crayon, colors}

KEYS

CAPITAL LETTER

COMMA

Page 19: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

List all the elements of the intersection (and) of A and B and

of the union (or) of A and B.

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

MARKER

CRAYON

COLORS

A B

Page 20: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

List all the elements that are not in A (A complement).

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

MARKER

CRAYON

COLORS

A B

Page 21: VENN DIAGRAMS “VENN DIAGRAMS are the principal way of showing sets diagrammatically. The method consists primarily of entering the elements of a set.

List all the elements that are not in B (B complement).

PEN

PENCIL

CALCULATOR

BOOK

NOTEBOOK

MARKER

CRAYON

COLORS

A B


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