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    Grade 7 - Sets and Venn Diagram

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    danielchristianong

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    © All Rights Reserved
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    Grade 7 - Sets and Venn Diagram

    Uploaded by

    danielchristianong
    1 views69 pages

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    Copyright:

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    Download as pptx, pdf, or txt
    1 views69 pages

    Grade 7 - Sets and Venn Diagram

    Uploaded by

    danielchristianong

    Copyright:

    © All Rights Reserved
    Download as PPTX, PDF, TXT or read online from Scribd
    Download as pptx, pdf, or txt
    of 69

    Grade 7

    MATH
    AY 2 0 2 3 – 2 0 2 4
    Operations on SETS
    Operations on SETS
    - Union
    - Intersection
    - Complement
    - Difference
    Operations on Sets
    Operations on Sets

    What is
    Operations on Sets

    What is
    Operations on Sets

    What is
    Operations on Sets
    Operations on Sets

    What is ?
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    Identify the results of the following operations on
    these sets:
    U: { u | u is a counting number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}
    VENN Diagram
    VENN Diagram
    - by John Venn

    - 1880
    VENN Diagram
    - by John Venn

    - 1880

    - figures useful in showing relationship between sets


    VENN Diagram
    2 main components:
    -Rectangle

    -Circle or circles
    VENN Diagram
    2 main components:
    -Rectangle  universal set

    -Circle or circles  set/sets considered


    VENN Diagram
    VENN Diagram – Joint Sets
    VENN Diagram – Disjoint Sets
    VENN Diagram – Joint Sets
    VENN Diagram – Disoint Sets
    VENN Diagram – Joint Sets
    VENN Diagram

    - Elements of set are indicated inside the circle


    VENN Diagram
    U

    1 A B
    2 4 6 8
    7 9
    3 5 10
    VENN Diagram
    U

    1 A B
    2 4 6 8
    7 9
    3 5 10

    Universal Set:

    Set A:

    Set B:
    VENN Diagram
    U

    1 A B
    2 4 6 8
    7 9
    3 5 10

    Universal Set:

    A B:

    A B:
    VENN Diagram
    U

    1 A B
    2 4 6 8
    7 9
    3 5 10

    Universal Set:

    A B:

    :
    Ex: U: { u | u is a whole number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 3}

    -
    Ex: U: { u | u is a whole number less than 10}
    A: { a | a is a one-digit prime number}
    B: { b | b is a one-digit multiple of 6}

    -
    Shading of Venn Diagrams

    -
    Shading of Venn Diagrams

    Set A
    Shading of Venn Diagrams

    Set B
    Shading of Venn Diagrams

    Universal Set
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shade the following sets in their corresponding Venn Diagrams:
    1.

    2.

    3.

    4.
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Shading of Venn Diagrams
    Application of Venn Diagram
    Application of Venn Diagram
    Application
    U
    of Venn Diagram

    1 A B
    2 4 6 8
    7 9
    3 5 10

    n (A)
    n (B)
    Out of 50 students, 20 are members of the Math club and 34
    are members of the Science Club. If 8 are in both clubs, here is
    the Venn Diagram:
    Out of 50 students, 20 are members of the Math club and 34
    are members of the Science Club. If 8 are in both clubs, how
    many students are in…:

    -neither clubs
    -At least one club
    -At most one club
    In a class of 30 students, 18 like Math and 15 like English. 6
    students do not like both Math or English.
    Here is the Venn Diagram:
    In a class of 30 students, 18 like Math and 15 like English. 6
    students do not like both Math or English.
    How many students…:

    - like both subjects?


    There were 72 students who took the oral tests. 36 passed Test
    1, 38 passed Test 2, and 8 passed both tests.
    Here is the Venn Diagram:
    There were 72 students who took the oral tests. 36 passed Test
    1, 38 passed Test 2, and 8 passed both tests.
    How many students…:

    - passed at least 1 test?


    - passed at most 1 test?

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