Venn Diagrams Complete Lesson Preview the presentation to

Venn Diagrams – Complete Lesson Preview the presentation to check ability-level, AFL questions, and the animations during demonstrations. It is recommended to delete slides/sections not needed for your class.

Starter A task at the beginning of the lesson that reviews a skill required for the learning. Knowledge Check Questions to assess students’ current understanding and to consequently show progress. Real-Life Example A ‘hook’ to raise interest and provide a concrete example. Demonstration Slides for a teacher to lead students – didactically or via questioning – through a mathematical method. AFL Questions Assessment For Learning Questions, used to assess students’ competency for independent tasks/activities. Plenary An opportunity for students to prove/evaluate their learning.

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14 ÷ 7 x 8 +8 +4 ÷ 2 x 4 ÷ 3 -15 +4 x 3 27 ? ?

How could we categorise (group) these animals? List 5 ways in your book.

How have they been organised? Dangerous Not dangerous

How have they been organised? 2 legs No legs 4 legs 6 legs

February 2021 Venn Diagrams

Complete the Venn Diagram. KNOWLEDGE CHECK a) How many numbers are even? b) How many numbers are odd and a multiple of 3? c) How many numbers are not a multiple of 3 and even? ξ = Numbers below 20 A = Odd Numbers B = Multiples of 3 ξ A B

Complete the Venn Diagram. KNOWLEDGE CHECK 9 a) How many numbers are even? b) How many numbers are odd and a multiple of 3? c) How many numbers are not a multiple of 3 and even? ξ = Numbers below 20 A = Odd Numbers B = Multiples of 3 ξ 3 A 6 B 7 9 19 11 15 5 17 13 12 3 6 18 2 4 8 10 14 16

Live on land Live in water Which group would these animals go into?

Live on land and in water Live in water

Live on land and in water Live in water This is called a Venn diagram. They help organise data and compare groups. They are very useful when some things are in both groups (like a hippo!)

What are the different groups in these Venn diagrams? Football Teams Chelsea Everton Red Man U Arsenal Real Animals Dolphin Stop Light Human-eaters Cow Goat Tomato Lions Zombies Sharks Werewolf Flying Animal Insect Hawk Seagull Ant Fly Circular Wheel Cup Spider Food Pizza Pie Chicken Chips

4 students were picked from Year 7 ξ = Anna Tom (Ksi) This means the total group. Long hair ξ Mary Jack Beth Blonde hair Jack doesn’t have long or blond hair. But he’s still in the group.

4 students were picked from Year 7 ξ = ξ Anna Tom Mary Long hair Anna Mary Jack Beth Blonde hair Beth Tom

We want to sort the numbers 1 to 10. ξ = 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 ξ Odd 2 4 8 10 Multiple of 3 1 5 3 7 9 6

Classmates in a Venn Diagram Possible Categories: ξ blonde hair, curly hair, straight hair, short hair, female, has a sister, has a brother, wears glasses, right-handed, left-handed, pet dog, pet cat, plays football, loves maths…

ξ Long hair Short hair What’s wrong with these Venn Diagrams? ξ Human Insect ξ Even ξ Multiple of 4 Boy Male

Complete the Venn diagram. ξ = Anna Jo Tom Rob Jess ξ Boy Wears glasses May Pete ξ = 3, 4, 5, 7, 10, 12, ξ 13, 15, 20, 24, 25 Multiple of 5 Odd

Complete the Venn diagram. ξ = Anna Jess ξ Boy Rob Jo Tom Rob May Pete Tom Jess Pete May Jo Anna ξ = 3, 4, 5, 7, 10, 12, ξ 13, 15, 20, 24, 25 Wears glasses Multiple of 5 Odd

Complete the Venn diagram. ξ = Anna Jess ξ Boy Rob Jo Tom Rob May Pete Tom Jess Pete May Jo Anna ξ = 3, 4, 5, 7, 10, 12, ξ 13, 15, 20, 24, 25 Wears glasses Multiple of 5 Odd 10 5 3 4 20 15 7 25 13 12 24

Venn Diagrams Complete each Venn Diagram ξ Odd A) ξ = 1 2 3 B) C) 7 8 9 11 12 13 16 17 18 ξ = 34 14 15 28 21 70 20 13 1 25 7 16 6 35 18 41 ξ = Numbers from 1 to 25 ξ Multiple of 7 ξ Multiple of 3 ① Over 10 Even Multiple of 4 What fraction of the numbers are not a multiple of 3 or 4? D) 10 students were surveyed about their hair. ξ Blonde 4 students had short blonde hair. 3 students didn’t have blonde or short hair. 6 students had blonde hair. Can you complete the diagram with the totals? Short

Venn Diagrams Complete each Venn Diagram ξ Odd A) ξ = 1 2 3 B) C) 7 8 9 11 12 13 16 17 18 ξ = 34 14 15 28 21 70 20 13 1 25 7 16 6 35 18 41 ξ = Numbers from 1 to 25 ① Over 10 1 3 7 2 8 ξ What fraction of the numbers are not a multiple of 3 or 4? D) 10 students were surveyed about their hair. 4 students had short blonde hair. 3 students didn’t have blonde or short hair. 6 students had blonde hair. 9 16 18 Multiple of 7 1 13 15 25 41 ξ 12 11 13 17 7 21 35 Even 6 14 28 70 16 18 20 34 Multiple of 3 Multiple of 4 1 4 3 2 6 12 5 8 9 7 15 16 24 10 18 11 20 21 13 14 17 19 22 23 25 ξ Short Blonde 2 3 Can you complete the diagram with the totals? 4 1 Answers

Venn Diagrams Complete each Venn Diagram ξ Odd A) ξ = 1 2 3 B) C) ① Over 10 Venn Diagrams Complete each Venn Diagram ξ Odd A) ξ = 1 2 3 7 8 9 11 12 13 16 17 18 ξ = 34 14 15 28 21 70 20 1 25 6 35 ξ Multiple of 7 Even B) ξ = 34 14 15 28 13 21 70 20 13 7 16 1 25 7 16 18 41 6 35 18 41 ξ = Numbers from 1 to 25 ξ Multiple of 3 Multiple of 4 What fraction of the numbers are not a multiple of 3 or 4? D) 10 students were surveyed about their hair. C) ξ = Numbers from 1 to 25 ξ Multiple of 7 ξ Multiple of 3 ① Over 10 Even Multiple of 4 What fraction of the numbers are not a multiple of 3 or 4? ξ Blonde Short D) 10 students were surveyed about their hair. ξ Blonde 4 students had short blonde hair. 3 students didn’t have blonde or short hair. 6 students had blonde hair. Can you complete the diagram with the totals? Short

Venn Diagrams Complete each Venn Diagram ξ Even A) ξ = 44 90 45 88 B) 54 27 6 26 91 16 71 9 18 13 24 33 ξ = Even numbers from 10 to 40 ξ ② Multiple of 9 Multiple of 4 Multiple of 5 What fraction of the numbers are multiple of 4 and 5? C) 10 students were surveyed about their hair. ξ Blonde Short 2 students had short blonde hair. 3 students didn’t have blonde or short hair. 6 students had blonde hair. Can you complete the diagram with the totals? D) 50 students were surveyed about the pets they had. ξ Dog Cat 30 students owned a dog. 25 students owned a cat. 10 students didn’t own a dog or cat. How can we complete the diagram with the totals? (hint: how many student had both a dog and cat?

Venn Diagrams ② Complete each Venn Diagram Multiple of 9 ξ Even A) ξ = 44 90 45 88 6 9 16 18 13 54 27 6 26 24 27 54 33 26 91 16 71 9 90 45 44 71 88 18 13 24 33 91 B) ξ = Even numbers from 10 to 40 ξ What fraction of the numbers are multiple of 4 and 5? Multiple of 4 Multiple of 5 14 12 16 18 20 10 24 22 28 40 30 26 32 36 34 38 C) 10 students were surveyed about their hair. ξ 2 students had short blonde hair. 3 students didn’t have blonde or short hair. 6 students had blonde hair. Short Blonde 4 2 1 3 Can you complete the diagram with the totals? D) 50 students were surveyed about the pets they had. ξ Cat Dog 30 students owned a dog. 25 students owned a cat. 10 students didn’t own a dog or cat. 15 10 How can we complete the diagram with the totals? (hint: how many student had both a dog and cat? Answers

Venn Diagrams Complete each Venn Diagram ξ Even A) ξ = 44 90 45 88 B) ② Multiple of 9 Venn Diagrams Complete each Venn Diagram ξ Even A) ξ = 44 90 45 88 54 27 6 26 91 16 71 9 18 13 24 33 ξ = Even numbers from 10 to 40 ξ Multiple of 4 Multiple of 5 What fraction of the numbers are multiple of 4 and 5? C) 10 students were surveyed about their hair. B) ξ = Even numbers from 10 to 40 ξ ② Multiple of 9 Multiple of 4 What fraction of the numbers are multiple of 4 and 5? ξ Blonde Short C) 10 students were surveyed about their hair. ξ Blonde 2 students had short blonde hair. 3 students didn’t have blonde or short hair. 6 students had blonde hair. Can you complete the diagram with the totals? D) 50 students were surveyed about the pets they had. Multiple of 5 ξ Dog Cat D) 50 students were surveyed about the pets they had. ξ Dog Short Cat 30 students owned a dog. 25 students owned a cat. 10 students didn’t own a dog or cat. How can we complete the diagram with the totals? (hint: how many student had both a dog and cat?

20 students were surveyed about whether they had a brother or a sister. 10 had a brother and sister. 5 didn’t have a brother or sister. 8 only had a brother. 3 only had a sister. ξ Has a brother 8 5 We will complete the Venn Diagram with the totals. Has a sister 10 3

20 people were surveyed about whether they had a dog or a cat. 8 had a dog and a cat. 5 didn’t have a dog or a cat. 3 only had a dog. ξ Dog 3 5 How many only had a cat? Cat 8 4 The numbers must total 20.

30 people were surveyed about their lunch. 15 had an apple and a burger. 3 didn’t have a burger or an apple. 20 had a burger. ξ Apple 7 3 Burger 15 5 How many had an apple?

Venn Diagrams with Totals. 20 students were asked about their siblings. 10 didn’t have a brother or sister. 8 had a sister. 7 had a brother. ξ Have a brother 2 10 That’s impossible! It totals more than 20! Have a sister 5 3

Complete the Venn diagram. 30 students were surveyed about their pets. ξ Dog Cat Pasta Fries 8 students had a dog and a cat. 10 students only had a dog. 7 students didn’t have a dog or a cat. How many students only had a cat? 50 students were surveyed about their lunch. ξ 10 students had pasta and fries. 15 students only had fries. 20 students had pasta. How many didn’t have pasta or fries?

Complete the Venn diagram. 30 students were surveyed about their pets. ξ Dog Cat 10 8 students had a dog and a cat. 10 students only had a dog. 7 students didn’t have a dog or a cat. 8 5 7 How many students only had a cat? 50 students were surveyed about their lunch. Answers ξ Pasta 10 10 students had pasta and fries. 15 students only had fries. 20 students had pasta. How many didn’t have pasta or fries? 15 Fries 10 15

Venn Diagrams with Totals A) The Venn diagram shows a school survey. ξ How many students were surveyed? How many boys had blonde hair? How many students had blonde hair? Complete the diagram: How many people owned a motorbike and a car? How many people only owned a motorbike? ξ Blonde 5 3 12 5 B) The Venn diagram shows a survey of 30 people. ξ C) Out of 50 students, 25 studied art, Boy Car 7 13 Art Motorbike 6 Drama 20 studied drama and 15 didn’t study either. Complete the Venn diagram. Complete a Venn diagram for each question. a) 50 people were surveyed about their pets. 15 people had a dog and a cat. 10 people had only a dog. 15 people didn’t have a dog or a cat. c) 100 people were surveyed about their lunch. 40 people bought an apple and a soda. 60 people bought an apple. 50 people bought a soda. How many bought neither? b) 70 people were surveyed. 24 people had long hair. 32 people had black hair. 30 people didn’t have long or black hair. d) 80 people were asked whether they liked apples, bananas or cherries. 10 only liked apples. 8 only liked bananas. 12 liked apples and bananas. 14 like bananas and cherries. 12 only liked cherries. 9 liked all three. 6 didn’t like any.

Venn Diagrams with Totals A) The Venn diagram shows a school survey. ξ How many students were surveyed? How many boys had blonde hair? How many students had blonde hair? Complete the diagram: How many people owned a motorbike and a car? How many people only owned a motorbike? ξ Car 13 Motorbike 7 4 6 Art 20 studied drama and 15 didn’t study either. Complete the Venn diagram. Blonde 5 3 12 5 B) The Venn diagram shows a survey of 30 people. ξ C) Out of 50 students, 25 studied art, Boy 25 3 15 4 6 Drama Answers 15 10 10 15 Complete a Venn diagram for each question. a) 50 people were surveyed about their pets. 15 people had a dog and a cat. 10 people had only a dog. 15 people didn’t have a dog or a cat. c) 100 people were surveyed about their lunch. 40 people bought an apple and a soda. 60 people bought an apple. 50 people bought a soda. How many bought neither? b) 70 people were surveyed. 24 people had long hair. 32 people had black hair. 30 people didn’t have long or black hair. d) 80 people were asked whether they liked apples, bananas or cherries. 10 only liked apples. 8 only liked bananas. 12 liked apples and bananas. 14 like bananas and cherries. 12 only liked cherries. 9 liked all three. 6 didn’t like any. ξ Dog Soda ξ Cat 10 40 20 30 10 15 ξ ξ Long A Black 8 16 16 30 Apple 6 B 10 12 8 9 9 14 12 C

Venn Diagrams with Totals A) The Venn diagram shows a school survey. ξ How many students were surveyed? How many boys had blonde hair? How many students had blonde hair? Complete the diagram: How many people owned a motorbike and a car? How many people only owned a motorbike? ξ Blonde 5 3 12 5 B) The Venn diagram shows a survey of 30 people. ξ C) Out of 50 students, 25 studied art, Boy Car 7 13 Art Motorbike 6 Drama 20 studied drama and 15 didn’t study either. Complete the Venn diagram. Complete a Venn diagram for each question. a) 50 people were surveyed about their pets. 15 people had a dog and a cat. 10 people had only a dog. 15 people didn’t have a dog or a cat. c) 100 people were surveyed about their lunch. 40 people bought an apple and a soda. 60 people bought an apple. 50 people bought a soda. How many bought neither? b) 70 people were surveyed. 24 people had long hair. 32 people had black hair. 30 people didn’t have long or black hair. d) 80 people were asked whether they liked apples, bananas or cherries. 10 only liked apples. 8 only liked bananas. 12 liked apples and bananas. 14 like bananas and cherries. 12 only liked cherries. 9 liked all three. 6 didn’t like any.

Complete the Venn Diagram. KNOWLEDGE CHECK a) How many numbers are even? b) How many numbers are odd and a multiple of 3? c) How many numbers are not a multiple of 3 and even? ξ = Numbers below 20 A = Odd Numbers B = Multiples of 3 ξ A B

Complete the Venn Diagram. KNOWLEDGE CHECK 9 a) How many numbers are even? b) How many numbers are odd and a multiple of 3? c) How many numbers are not a multiple of 3 and even? ξ = Numbers below 20 A = Odd Numbers B = Multiples of 3 ξ 3 A 6 B 7 9 19 11 15 5 17 13 12 3 6 18 2 4 8 10 14 16

Check your success! I can complete Venn diagrams with data. I can complete Venn diagrams with totals. I can calculate missing values in Venn diagrams.

Check your success! I can complete Venn diagrams with data. I can complete Venn diagrams with totals. I can calculate missing values in Venn diagrams.

Write a text message to a friend describing… What a Venn diagram shows.

Questions? Comments? Suggestions? …or have you found a mistake!? Any feedback would be appreciated . Please feel free to email: tom@goteachmaths. co. uk