Dr Fog Presents

1. Who gets the most? Dr Fog Presents Year 7 (National Numeracy Strategy) (Based on DFEE Sample Lessons) www.DrFog.co.uk

2. Resources • None!

3. Mental Learning Objective • I can find fractions of amounts of money.

4. Mental Learning Task • Today we are going to start by focusing on finding fractions of different amounts of money.

5. Mental Learning Task What is half of £10?

6. Mental Learning Task What is quarter of £10?

7. Mental Learning Task What is half of £5?

8. Mental Learning Task What is quarter of £2?

9. Mental Learning Task What is half of £100?

10. Mental Learning Task What is quarter of £100?

11. Mental Learning Task What is a third of £12?

12. Mental Learning Task What is two thirds of £12?

13. Mental Learning Task What is two thirds of £9?

14. Mental Learning Task What is one third of £18?

15. Mental Learning Task What is two thirds of £18?

16. Mental Learning Objective • I can find fractions of amounts of money.

17. Main Learning Objective • I can compare fractions with the same denominator. • I can compare fractions with different denominators by converting them to the same denominator.

18. Key idea I can find fractions of time and money by making sure the fractions have the same denominator.

19. Main Learning Task • Today we are going to look at how to work with fractions, and decide which is the largest fraction.

20. Main Learning Task • Here is a sharing problem we are going to solve together… • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

21. Main Learning Task • Who gets the most money with plan A? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

22. Main Learning Task • Who gets the least money with plan A? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

23. Main Learning Task • How much does each child get with Plan A? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

24. 5 10 2 10 = Main Learning Task • As a fraction, how much more does Alice get than Chloe? • Alice gets 5 Bryn gets 3 Chloe gets 2 • 10 10 10 3 10

25. 5 10 3 10 = Main Learning Task • As a fraction, how much more does Alice get than Bryn? • Alice gets 5 Bryn gets 3 Chloe gets 2 • 10 10 10 2 10

26. 5 10 3 10 1 5 = = Main Learning Task • How else can we write this fraction? • Alice gets 5 Bryn gets 3 Chloe gets 2 • 10 10 10 2 10

27. 2 10 3 10 = Main Learning Task • As a fraction,how much does Chloe and Bryn get together? • Alice gets 5 Bryn gets 3 Chloe gets 2 • 10 10 10 5 10

28. 2 10 3 10 1 2 = = Main Learning Task • How else could we write this fraction? • Alice gets 5 Bryn gets 3 Chloe gets 2 • 10 10 10 5 10

29. Main Learning Task • How much does each child get with Plan B? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

30. Main Learning Task • It isn’t so easy to see who gets the most this time is it? • Why not? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

31. Main Learning Task • There are quarters, twelfths and thirds. • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

32. Main Learning Task • What can you tell me about these fractions? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

33. Main Learning Task • Does Alice get more or less than Chloe? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

34. Main Learning Task • How can you work out who gets the most and by how much? • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 3/10, Chloe 1/3

35. Main Learning Task • We can change them all to the same ‘kind’ that is twelfths. • There are three children in a family, Alice, Bryn and Chloe. Their grandmother gives them £240 to share between them. She has devised several plans for sharing it. • Plan A:Alice gets 5/10 of the money, Bryn 3/10 and Chloe 2/10. • Plan B:Alice gets ¼ of the money, Bryn 5/12, Chloe 1/3

36. Main Learning Task • We can change them all to the same ‘kind’ that is twelfths. Alice = 1 4 = ____ 12 = ____ 12 Bryn = 5 12 Chloe = 1 3 = ____ 12

37. Main Learning Task • To find differences between amounts, just take away the fractions now they are of the same kind. Alice = 1 4 = ____ 12 = ____ 12 Bryn = 5 12 Chloe = 1 3 = ____ 12

38. Main Learning Task • To find out how much money each gets, divide £240 by 12. • Then multiply by the top number of the fraction. Alice = 1 4 = ____ 12 = ____ 12 Bryn = 5 12 Chloe = 1 3 = ____ 12

39. Main Learning Task • Solve these questions. • There are three children in a family. Alice, Bryn and Chloe. There grandmother gives them £240 to share between them. • Simplest:- Alice gets1/8, Bryn 2/8 and Chloe 5/8 • Middle:- Alice gets ½, Bryn 3/8, Chloe 3/8 • Hard:-Alice gets ¼, Bryn 10/24, Chloe 1/3 • Who gets the most? • Who gets the least? • What is the difference between these amounts? • What fraction of the whole amount is that? • Write this as a difference between two fractions.

40. Main Learning Objective • I can compare fractions with the same denominator. • I can compare fractions with different denominators by converting them to the same denominator.

41. Plenary • Share your findings with the rest of the class. • Write your workings and answer on the board.

42. Plenary • We are now going to finish with some mental work based on the fractions of an hour.

43. Plenary How many minutes are there in a half hour?

44. Plenary What is half 60?

45. Plenary What is quarter 60?

46. Plenary How many minutes are there in three quarters of an hour?

47. Review of Key Idea • I can find fractions of time and money by making sure the fractions have the same denominator. • Did you learn this today?

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