GCSE Venn Diagrams Skipton Girls High School Venn

GCSE: Venn Diagrams Skipton Girls’ High School

Venn Diagrams 24/10/2020 Specification Point- Sort data using Venn diagrams Objectives are: 1 Sort the following data using a Venn diagram input even numbers and primes. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 2 3 How many numbers are: Work out the probability of getting: a) a) b) b) c) Keywords Level 4 Venn diagram Level 6 Set c) Elements Level 7

Venn Diagrams 24/10/2020 Starter: Take a look at these shapes, complete the diagram below. Circle 4 Green 3 3 2

24/10/2020 Key Definitions: A B Venn Diagrams The intersection is where two sets overlap. This means A and B. A B AND rule If you put two sets together, you get the union. OR rule This means A or B. A B The complement of A is the region that is not A. This means not A.

Venn Diagrams 24/10/2020 Example 1: S 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 B 7 5 8 4 1 Describe the blue region in words. Has a sister but not a brother. 2 Describe the region Doesn’t have a sister or doesn’t have a brother. 3 How many students are in S’. 4 Work out: Sister and Brother: 5 Work out: No Sister and Brother: in words. This means not a sister. Numbers not in blue. 12 pupils

Venn Diagrams 24/10/2020 Example 2: O Using numbers from 1 to 10, complete this Venn diagram. T 3 2 O – {odd numbers} T – {Multiples of three} 1 4 1 Shade in the region a multiple of three but not a odd number. 2 Describe the region 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: in words. Odd number or a multiple of 3. This means not odd. 5 numbers

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)

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 ’)

Main Worksheet RAG Answers Question 1 a) Has a sister b) Does not have a brother or does not have a sister c) 12 d) 5/24 e) 8/24 Question 2 c) Odd number or a multiple of 3 d) 5 e) 2/10 f) 3/10 Question 3 b) None c) A I d) E R e) 9 f) 9 g) 8 h) 2 i) 17