Ratio_and_Sharing

Ratio:

R a t i o Is all about sharing and being fair

Ratio:

R a t i o 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:

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

Ratio:

R a t i o What is the ratio of green counters to blue? 4 : 5

Ratio:

R a t i o What is the ratio of red counters to yellow? We could write this as 6 : 2 We could also write it as 3 : 1

Ratio:

R a t i o We call this simplifying the ratio

Slide 7:

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

Slide 8:

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

Slide 9:

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

Slide 10:

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

Ratio:

R a t i o It’s your turn!! Complete the exercises on the sheet. Stick the sheet into your books.

Ratio:

R a t i o 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?

Ratio:

R a t i o 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:

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

Ratio:

R a t i o 60 : 40 Means that Bill will get 60 parts to Betty’s 40 Between them there are 100 parts

Ratio:

R a t i o 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.

Slide 17:

What is the ratio of black counters to white? _______ Simplify you answer _______ What is the ratio of black counters to white? _______ Simplify you answer _______ What is the ratio of white counters to black? _______ Simplify you answer _______ What is the ratio of black counters to white? _______ Simplify you answer _______ What is the ratio of black counters to white? _______ Simplify you answer _______ What is the ratio of white counters to black? _______ Simplify you answer _______ What is the ratio of white counters to black? _______ Simplify you answer _______ What is the ratio of black counters to white? _______ Simplify you answer _______ 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 1:2 4:3 4:3 8:3 8:3 3:6 1:2 6:2 3:1 2:10 1:5 15:3 5:1 3:3 1:1

Slide 18:

What is the ratio of black counters to white? _______ Simplify your answer _______ What is the ratio of black counters to white? _______ Simplify your answer _______ What is the ratio of white counters to black? _______ Simplify your answer _______ What is the ratio of black counters to white? _______ Simplify your answer _______ What is the ratio of black counters to white? _______ Simplify your answer _______ What is the ratio of white counters to black? _______ Simplify your answer _______ What is the ratio of white counters to black? _______ Simplify your answer _______ What is the ratio of black counters to white? _______ Simplify your answer _______ 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