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Venn Diagrams - Complete Lesson

Preview the presentation to check ability-level, AFL questions, and animations during demonstrations. Print handouts, categorize animals, and solve Venn diagrams.

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Venn Diagrams - Complete Lesson

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  1. 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.

  2. Printing To print handouts from slides - Select the slide from the left. Then click: File > Print > ‘Print Current Slide’ To print multiple slides - Click on a section title to highlight all those slides, or press ‘Ctrl’ at the same time as selecting slides to highlight more than one. Then click: File > Print > ‘Print Selection’ To print double-sided handouts - Highlight both slides before using ‘Print Selection’. Choose ‘Print on Both Sides’ and ‘Flip on Short Edge’.

  3. 14 ÷7 x8 +8 +4 ÷2 x4 ÷3 27 ?? -15 +4 x3

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

  5. How have they been organised? Dangerous Not dangerous

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

  7. 08 March 2019 Venn Diagrams

  8. Complete the Venn Diagram. 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? KNOWLEDGE CHECK ξ = Numbers below 20 ξ A = Odd Numbers A B B = Multiples of 3

  9. Complete the Venn Diagram. 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? KNOWLEDGE CHECK 9 3 6 ξ = Numbers below 20 ξ A = Odd Numbers A B B = Multiples of 3 7 2 9 12 19 4 11 15 8 5 3 18 10 6 17 14 13 16

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

  11. Live on land and in water Live on land Live in water

  12. Live on land and in water Live on land 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!)

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

  14. 4 students were picked from Year 7 ξ = Anna Tom Mary Jack Beth (Ksi) This means the total group. ξ Long hair Blonde hair Jack doesn’t have long or blond hair. But he’s still in the group.

  15. 4 students were picked from Year 7 ξ = Anna Tom Mary Jack Beth ξ Long hair Blonde hair Anna Tom Beth Mary Jack

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

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

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

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

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

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

  22. Venn Diagrams ① Complete each Venn Diagram Odd Over 10 A) ξ ξ ξ ξ ξ = Multiple of 7 Even B) ξ = Multiple of 3 Multiple of 4 C) ξ = Numbers from 1 to 25 What fraction of the numbers are not a multiple of 3 or 4? D) 10 students were surveyed about their hair. Short 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?

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

  24. Venn Diagrams Venn Diagrams ① ① Complete each Venn Diagram Complete each Venn Diagram Odd Over 10 Odd Over 10 A) A) ξ ξ ξ ξ ξ ξ ξ ξ ξ = ξ = Multiple of 7 Even Multiple of 7 Even B) B) ξ = ξ = Multiple of 3 Multiple of 4 Multiple of 3 Multiple of 4 C) C) ξ = ξ = Numbers from 1 to 25 Numbers from 1 to 25 What fraction of the numbers are not a multiple of 3 or 4? What fraction of the numbers are not a multiple of 3 or 4? D) D) 10 students were surveyed about their hair. 10 students were surveyed about their hair. Short Short Blonde 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? 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?

  25. Venn Diagrams ② Complete each Venn Diagram Even Multiple of 9 A) ξ ξ ξ ξ ξ = B) Multiple of 4 Multiple of 5 ξ = Even numbers from 10 to 40 What fraction of the numbers are multiple of 4 and 5? C) 10 students were surveyed about their hair. Short 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. Cat Dog 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?

  26. Venn Diagrams ② Complete each Venn Diagram Even Multiple of 9 A) ξ ξ ξ ξ ξ = 6 9 16 18 13 24 27 54 33 26 90 45 44 71 88 91 B) Multiple of 4 Multiple of 5 ξ = Even numbers from 10 to 40 14 12 16 18 20 10 24 22 What fraction of the numbers are multiple of 4 and 5? 28 40 30 26 32 36 34 38 C) 10 students were surveyed about their hair. Short 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? 1 4 2 3 D) 50 students were surveyed about the pets they had. Cat Dog 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? 10 15 15 Answers 10

  27. Venn Diagrams Venn Diagrams ② ② Complete each Venn Diagram Complete each Venn Diagram Even Multiple of 9 Even Multiple of 9 A) A) ξ ξ ξ ξ ξ ξ ξ ξ ξ = ξ = B) B) Multiple of 4 Multiple of 5 Multiple of 4 Multiple of 5 ξ = ξ = Even numbers from 10 to 40 Even numbers from 10 to 40 What fraction of the numbers are multiple of 4 and 5? What fraction of the numbers are multiple of 4 and 5? C) C) 10 students were surveyed about their hair. 10 students were surveyed about their hair. Short Short Blonde 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? 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) D) 50 students were surveyed about the pets they had. 50 students were surveyed about the pets they had. Cat Cat Dog Dog 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? 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?

  28. 20 students were surveyed about whether they had a brother or a sister. We will complete the Venn Diagram with the totals. 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 Has a sister 8 10 3 5

  29. 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. How many only had a cat? The numbers must total 20. ξ Dog Cat 3 4 8 5

  30. 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. How many had an apple? ξ Apple Burger 7 5 15 3

  31. Venn Diagrams with Totals. That’s impossible! It totals more than 20! 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 Have a sister 2 5 3 10

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

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

  34. Venn Diagrams with Totals ξ Blonde Boy A) The Venn diagram shows a school survey. 5 3 12 How many students were surveyed? How many boys had blonde hair? How many students had blonde hair? 5 Car Motorbike ξ B) The Venn diagram shows a survey of 30 people. 7 6 Complete the diagram: How many people owned a motorbike and a car? How many people only owned a motorbike? 13 Art Drama ξ C) Out of 50 students, 25 studied art, 20 studied drama and 15 didn’t study either. Complete the Venn diagram. Complete a Venn diagram for each question. 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? 70 people were surveyed. 24 people had long hair. 32 people had black hair. 30 people didn’t have long or black hair. 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.

  35. Venn Diagrams with Totals 25 ξ Blonde Boy A) The Venn diagram shows a school survey. 3 5 3 12 How many students were surveyed? How many boys had blonde hair? How many students had blonde hair? 15 5 Car Motorbike ξ 4 B) The Venn diagram shows a survey of 30 people. 7 4 6 Complete the diagram: How many people owned a motorbike and a car? How many people only owned a motorbike? 6 13 Art Drama ξ C) Out of 50 students, 25 studied art, 20 studied drama and 15 didn’t study either. Complete the Venn diagram. Answers 10 15 10 15 Complete a Venn diagram for each question. Soda Apple ξ Dog Cat ξ 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? 40 20 10 15 10 10 30 15 70 people were surveyed. 24 people had long hair. 32 people had black hair. 30 people didn’t have long or black hair. 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 B A 12 8 Long Black ξ 10 9 16 8 16 9 14 30 12 C 6

  36. Venn Diagrams with Totals Venn Diagrams with Totals ξ ξ Blonde Blonde Boy Boy A) A) The Venn diagram shows a school survey. The Venn diagram shows a school survey. 5 5 3 3 12 12 How many students were surveyed? How many boys had blonde hair? How many students had blonde hair? How many students were surveyed? How many boys had blonde hair? How many students had blonde hair? 5 5 Car Motorbike Car Motorbike ξ ξ B) B) The Venn diagram shows a survey of 30 people. The Venn diagram shows a survey of 30 people. 7 7 6 6 Complete the diagram: How many people owned a motorbike and a car? How many people only owned a motorbike? Complete the diagram: How many people owned a motorbike and a car? How many people only owned a motorbike? 13 13 Art Drama Art Drama ξ ξ C) C) Out of 50 students, 25 studied art, 20 studied drama and 15 didn’t study either. Complete the Venn diagram. Out of 50 students, 25 studied art, 20 studied drama and 15 didn’t study either. Complete the Venn diagram. Complete a Venn diagram for each question. Complete a Venn diagram for each question. 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? 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? 70 people were surveyed. 24 people had long hair. 32 people had black hair. 30 people didn’t have long or black hair. 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. 70 people were surveyed. 24 people had long hair. 32 people had black hair. 30 people didn’t have long or black hair. 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.

  37. Complete the Venn Diagram. 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? KNOWLEDGE CHECK ξ = Numbers below 20 ξ A = Odd Numbers A B B = Multiples of 3

  38. Complete the Venn Diagram. 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? KNOWLEDGE CHECK 9 3 6 ξ = Numbers below 20 ξ A = Odd Numbers A B B = Multiples of 3 7 2 9 12 19 4 11 15 8 5 3 18 10 6 17 14 13 16

  39. 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.

  40. 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.

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

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

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