1. Functional MATHS
Week 12

2. REGISTER & EQUIPMENT

3. Are you…
Ready?
Respectful?
Safe?
Then, allons-y

4. STARTER
10 minutes
15 minutes

5. STARTER Fractions
200 students study either Geography, History or RE. 1/4 of the students study Geography, 2/5 of the students study History. How many students study RE?

6. Mum bought 3 sweets. They were 5p each. How much did she spend?
How much would she need to buy 5 sweets?
If she bought 5 sweets how much change would she get from 50p?

7. KEEP IN TOUCH My email address: j.brungard@eastcoast.ac.uk
Staff room 117 (1st floor).
When you miss a lesson (never), you will be able to access it on Moodle.

8. Objectives Read/write two-digit numbers Recognise fraction parts
Work out fraction of an amount in problems
Convert between fractions, percentages and decimals.
Express ratios
Work out ratio parts

10. Writing one number as a percentage of the other
First write it as a fraction and then multiply it by 100 to turn it into a percentage.
Freddie scored 25 out of 40 on his Maths test. What percentage did he get right?

11. Example:
A DVD contains a film and some extra clips. The film lasts 120 mins.
The clips after the main film last an extra 30 mins.
What % of the DVD is taken up with:
(a) the film (b) the clips?

12. Your turn

14. A supermarket chain sold 3600 packets of sausages last month
A supermarket chain sold 3600 packets of sausages last month. The pie chart shows the different flavours.
What is the percentage of beef flavour?
What is the percentage of the other categories?
How many beef packets were sold?
How many of each other category were sold?

15. RECAP

16. Ratio

17. What is ratio? Ratio is a way of comparing amounts of something.
It shows how much bigger one thing is than another.

18. How is ratio written?
4 : 1
This ratio has 5 parts altogether as = 5. This will be important a bit later on!

25. Careful, there are three categories here.

27. Simplifying Ratios The ratio of yellow to green blocks is
yellow : green = 4 : 2
Which can be simplified to:
4 : 2 ÷2 ÷2
2 : 1

28. 1 : 2
2 : 3
1 : 3
2 : 9
1 : 2
1 : 2
7 : 5
2 : 3
1 : 2
4 : 5
2 : 5

29. Sharing in
Ratio

30. Share €10 between Mandy and Lara in the ratio 3 : 2
Number of equal parts = = 5 2 2 2 2 2 2 2 2 2 2
Amount in 1 part = 10 ÷ 5 = € 2
Mandy gets = € 2  3 = € 6
Lara gets = € 2  2 = € 4

31. Number of equal parts = 4 + 3 = 7
A 35 ml orange drink is made by mixing orange juice and water in the ratio 4 : 3.
Number of equal parts = = 7 5 5 5 5 5 5 5 5 5 5 5 5 5 5
Amount in 1 part = 35 ÷ 7 = 5 ml
Orange Juice = 5  4 = 20 ml
Water = 5  3 = 15 ml

32. Number of equal parts = 3 + 1 = 4
Uncle John wants to share €20 between Mark and Amy in the ratio 3 : 1. How much money will each get?
Number of equal parts = = 4 5 5 5 5 5 5 5 5
Amount in 1 part = 20 ÷ 4 = € 5
Mark gets = 5  3 = € 15
Amy gets = 5  1 = € 5

33. Number of equal parts = 6 + 3 + 1 = 10
A recipe for pastry uses flour, margarine and water in the ratio 6 : 3 : 1. What weight of each is needed to make a mixture that weighs 300 g?
Number of equal parts = = 10 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30
Amount in 1 part = 300 ÷ 10 = 30 g
Flour = 30  6 = 180 g
Margarine = 30  3 = 90 g
Water = 30  1 = 30 g

36. Activity

38. Ratio robberies Daniel Freddie George Bobby Cathy Alan Ellie Total
Read the information and use the table below to find your answers
Daniel
Freddie
George
Bobby
Cathy
Alan
Ellie
Total
Prague
Zurich
Paris
Milan
Madrid
Berlin
Munich
Prison sentence
Q1) The total amount stolen was __________
Q2) The robber who made the most money was __________

39. Ratio robberies Daniel Freddie George Bobby Cathy Alan Ellie Total
Read the information and use the table below to find your answers
Daniel
Freddie
George
Bobby
Cathy
Alan
Ellie
Total
Prague 2 6 4 12
Zurich 18
Paris 3 9 21
Milan 8 16 20 80
Madrid 10
Berlin 24
Munich 15 25 5 75 33 23 50 51 37 28
240
Prison sentence 11
72/3
162/3 17
121/3
91/3
Q1) The total amount stolen was €240 million
Q2) The robber who made the most money was Bobby

40. STRETCH
Find value of one share if you know the value of the other share…

41. £20

42. £20 ??

43. £20
£30

44. £20
£30
How did you work it out?

45. Try these problems, some in pictures and some in words…

46. Jim’s
Jemima’s
Write down the ratio using the
colon notation…

47. £800
Jim’s
Jemima’s
Find the value of Jim
and Jemima’s shares…

48. £??
£280
£??
Find the value of the whole amount
and the missing share…

49. Write down the ratio using the
smallest whole numbers you can…

50. Proportions
Answer question on the hand-out and make a poster following the instructions (example on next slide).

51. For 36 pancakes For 12 pancakes X 3
Therefore, the number of eggs must also be X3
To find out the right number of eggs:
Find how much more pancakes there are  36 ÷ 12 = 3
Times the eggs by same number
 2 X 3 = 6

52. Proportions You will be given the recipe of a pizza for 2 people.
Please make the same recipe for:
4 people
10 people
1 person