Is all about sharing and being fair

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Presentation transcript:

Is all about sharing and being fair Ratio Is all about sharing and being fair

Ratio is used to share things out when we are being fair. It is also used when one thing has a greater representation than another.

Ratio What is the ratio of red counters to yellow? We write this as 5 : 3 (5+3=8 and there are 8 counters)

What is the ratio of green counters to blue? 4 : 5

Ratio What is the ratio of red counters to yellow? We could write this as 6 : 2 We could also write it as 3 : 1

We call this simplifying the ratio

What is the ratio of blue to yellow? 4 : 8 What is the ratio of blue to yellow? 1 : 2

What is the ratio of red to green? 5 : 10 What is the ratio of red to green? 1 : 2

What is the ratio of yellow to blue? 12 : 2 What is the ratio of yellow to blue? 6 : 1

What is the ratio of green to red? 6 : 9 What is the ratio of green to red? 2 : 3

Ratio It’s your turn!! Complete the exercises on the sheet. Stick the sheet into your books.

Ratio Example Friends Bill and Betty buy a £1 lottery ticket. Bill pays 60p and Betty the other 40p. They win £1000. Should they get £500 each?

They might be really good friends and decide to ‘go halves’. Ratio They might be really good friends and decide to ‘go halves’. However, it would be a more fair way to split the winnings in the same ratio as they paid. How much would they get?

Ratio The lottery ticket was paid for by splitting the cost 60 to 40. As a ratio, we would write this as 60 : 40

Ratio 60 : 40 Means that Bill will get 60 parts to Betty’s 40 Between them there are 100 parts

Ratio 600 : 400 For 1000, I need to share 100 ten times. 60 : 40 ten times is 600 : 400 So Bill gets £600 and Betty gets £400 from their winnings.

What is the ratio of black counters to white? _______ Simplify you answer _______ What is the ratio of white counters to black? Shade in the counters to represent the given ratios of black to white. 4:1 2:5 1:3 5:3 7:2 6:5 5:1 3:2 7:5 1:1 2:4 6:2 1:2 3:1 4:3 2:10 4:3 1:5 8:3 15:3 8:3 5:1 3:6 3:3 1:2 1:1

What is the ratio of black counters to white? _______ Simplify your answer _______ What is the ratio of white counters to black? Shade in the counters to represent the given ratios of black to white. 4:1 2:5 1:3 5:3 7:2 6:5 5:1 3:2 7:5 1:1