Functional MATHS Week 12

REGISTER & EQUIPMENT

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

STARTER 10 minutes 15 minutes

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?

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?

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.

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

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?

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?

Your turn

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?

RECAP

Ratio

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

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

Careful, there are three categories here.

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

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

Sharing in Ratio

Share €10 between Mandy and Lara in the ratio 3 : 2 Number of equal parts = 3 + 2 = 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

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 = 4 + 3 = 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

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 = 3 + 1 = 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

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 = 6 + 3 + 1 = 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

Activity

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 __________

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

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

£20

£20 ??

£20 £30

£20 £30 How did you work it out?

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

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

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

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

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

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

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

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