Skipton Girls’ High School

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Presentation transcript:

Skipton Girls’ High School GCSE: Venn Diagrams Skipton Girls’ High School

Venn Diagrams Specification Point- Sort data using Venn diagrams 29/05/2018 Venn Diagrams Specification Point- Sort data using Venn diagrams Objectives are: 1 2 3 Sort the following data using a Venn diagram input even numbers and primes. 1,2,3,4,5,6,7,8,9,10 How many numbers are: a) b) c) Work out the probability of getting: a) b) c) Level 4 Level 6 Level 7 Venn diagram Set Elements Keywords

Take a look at these shapes, complete the diagram below. 29/05/2018 Venn Diagrams Starter: Take a look at these shapes, complete the diagram below. Circle Green 4 3 3 2

Venn Diagrams Key Definitions: 29/05/2018 B The intersection is where two sets overlap. This means A and B. AND rule A B If you put two sets together, you get the union. This means A or B. OR rule A B The complement of A is the region that is not A. This means not A.

Venn Diagrams Example 1: 29/05/2018 B Mrs Smith asks 24 pupils in her class about their families. She sorts them into: S - {has sisters} B - {has brothers} She showed her results on a Venn diagram 7 5 8 4 1 Describe the blue region in words. Has a sister but not a brother. Doesn’t have a sister or doesn’t have a brother. 2 Describe the region in words. This means not a sister. Numbers not in blue. 12 pupils 3 How many students are in S’. 4 Work out: Sister and Brother: 5 Work out: No Sister and Brother:

Venn Diagrams Example 2: 29/05/2018 O T Using numbers from 1 to 10, complete this Venn diagram. O – {odd numbers} T – {Multiples of three} 3 2 1 4 1 Shade in the region a multiple of three but not a odd number. 2 Describe the region in words. Odd number or a multiple of 3. This means not odd. 5 numbers 3 How many numbers are in O’. 4 Work out: Odd and Multiple of 3: 5 Work out: Odd and not a multiple of 3:

Use the instructions over the next few slides to shade your Venn diagrams accordingly. Make sure you label each diagram so you can refer to it later!

Shade the area that represents: P (B) Get students to come to the whiteboard and shade what they think

Shade the area that represents: P (B ’)

Shade the area that represents: P (A ’  B ’)

Shade the area that represents: P (A ’  B ’)

Shade the area that represents: P (A  B ’)

Shade the area that represents: P (A  B ’)

Answers Question 1 Question 3 Has a sister None Main Worksheet RAG Answers Question 1 Has a sister Does not have a brother or does not have a sister 12 5/24 8/24 Question 2 Odd number or a multiple of 3 5 2/10 3/10 Question 3 None A I E R 9 8 2 17