11092021 WALT Ratio and Proportion Know the difference

11/09/2021 WALT: Ratio and Proportion Know the difference between finding a ratio and finding a proportion. Level 5 WILF: Is the answer to: Write the ratio of yellow sections to blue sections. Write the proportion of the shape shaded yellow as a fraction. Is the answer to: Tim’s and Amy’s parents share out some money. Tim gets £ 18 and Amy gets £ 24. In a garden tulips and daffodils are in the ratio 3: 5. There are 60 daffodils. Write the ratio of Tim’s hare to Amy’s share of the money in its simplest form. How many tulips are there? Write the proportion of the money that was given to Amy. Keywords Level 4 Proportion Level 5 Ratio Level 6

11/09/2021 Starter: Ratio and Proportion Simplify the following ratios. a 4: 2 b 2: 1 e 6: 4 50 p : £ 1 1: 2 c 1: 4 f 3: 2 i 2: 8 10 : 15 200 g : 1 kg 1: 5 d 1: 3 g 2: 3 j 3: 9 40 : 48 4: 1 h 5: 6 k 40 s : 1 min 2: 3 20 : 5 14 : 7 : 21 2: 1: 3 l 75 p : 25 p : £ 1 3: 1: 4

11/09/2021 Ratio and Proportion Definition: It is important to understand the relationship between ratio and proportion. Proportion compares the size of a part with the whole Ratio compares the size of two or more parts The proportion of circles that are yellow is The ratio of yellow circles to green circles is

11/09/2021 Ratio and Proportion Example: In a class of 30, 16 pupils are boys and 14 pupils are girls Write the ratio of boys to girls for the class. ÷ 2 Write the proportion of the class that are girls.

11/09/2021 Ratio and Proportion Example: In a class of 30, 18 pupils are boys. Write the proportion of the class that are boys. Write the ratio of boys to girls for the class. Boys : Girls 18: 12 9: 6 3: 2

1 a b 2 Write the proportion of the shape shaded in as a fraction in its simplest form. i ii iv v vi Tony has 12 Xbox games and 8 Playstation games in his collection. a b 3 Write the ratio of shaded squares to white squares in its simplest form. Write the ratio of Xbox to Playstation games in its simplest form. Write the proportion of the games that are Playstation games. In a running club there are 90 males and 75 females. a b Write the ratio of females to males in its simplest form. Write the proportion of the members that are males.

1 a b Write the ratio of shaded squares to white squares in its simplest form. Write the proportion of the shape shaded in as a fraction in its simplest form. i ii 3: 1 2 2: 3 1: 6 iv v vi 2 : 4 = 1: 2 8: 4 = 2 : 1 9: 12 = 3: 4 Tony has 12 Xbox games and 8 Playstation games in his collection. a b 3 iii Write the ratio of Xbox to Playstation games in its simplest form. 12: 8 = 3: 2 Write the proportion of the games that are Playstation games. In a running club there are 90 males and 75 females. a b Write the ratio of females to males in its simplest form. Write the proportion of the members that are males. 75: 90= 5: 6

1 There are 10 pupils in the book club. 7 pupils in the club are girls. a b 2 3 4 What proportion of the book club are girls as a fraction in its simplest form? Write the ratio of girls to boys in the book club in its simplest form. There are 18 apples and oranges in a basket. 10 of them are apples. a What proportion of the basket are apples as a fraction in its simplest form? b Write the ratio of apples to oranges in its simplest form. David has 24 movies in his collection. 15 of those movies are action. a What proportion of the collection are not action movies as a fraction in its simplest form. ? b Write the ratio action movies to not action movies in its simplest form. Amy and Mark share some money in the ratio 2 : 3 a What proportion of the money does Amy get as a fraction? b If they share £ 40 between them in the ratio. How much money does Amy get?

1 There are 10 pupils in the book club. 7 pupils in the club are girls. a b 2 3 4 What proportion of the book club are girls as a fraction in its simplest form? Write the ratio of girls to boys in the book club in its simplest form. 7: 3 There are 18 apples and oranges in a basket. 10 of them are apples. a What proportion of the basket are apples as a fraction in its simplest form? b Write the ratio of apples to oranges in its simplest form. 5: 4 David has 24 movies in his collection. 15 of those movies are action. a What proportion of the collection are not action movies as a fraction in its simplest form. ? b Write the ratio action movies to not action movies in its simplest form. 5: 3 Amy and Mark share some money in the ratio 2 : 3 a What proportion of the money does Amy get as a fraction? b If they share £ 40 between them in the ratio. How much money does Amy get? £ 16

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