1. It is a way of writing and making a numerical comparison between two or more quantities 8 to 5 What is ratio? 3:5 1:2:5:4

2. A way of looking at numerical data- Making numerical comparisons between ingredients in a recipe Making numerical comparisons between a mixture of paint colours Making numerical comparisons between a scale drawing of a room and the actual dimensions of a room

3. Ratio It is pronounced as – ray show It is usually written with a colon (:) which is read as ‘to’ 3 to 2 is written as 3 : 2

4. An example of ratio If there are two boys and three girls in the room- The ratio of boys to girls in the room is two to three. boys to girlscan be written in shorthand as boys : girls two to three can be written in shorthand as 2 : 3

5. The order is important If there are two boys and three girls in the room- The ratio of girls to boys is. girls to boyscan be written in shorthand as girls : boys three to two can be written in shorthand as 3 : 2

6. Another example of ratio If there are two apples for every five grapes in the fruit basket. The ratio of apples to grapes is two to five. apples to grapes can be written in shorthand as apples : grapes two to five can be written in shorthand as 2 : 5

7. Remember the order If there are two apples for every five grapes in the fruit basket. What is the ratio of grapes to apples?

8. Remember the order If there are two apples for every five grapes in the fruit basket. The ratio of grapes to apples is 5 to 2 or The ratio of grapes : apples is 5 : 2

9. If there must always be two apples for every five grapes in your fruit basket. if you have four apples in the basket there must be 10 grapes If you have twenty grapes then there must be eight apples Keeping the ratio proportional 2:5 4:10 8:20

10. These ratios are all the same Keeping the ratio proportional 2:5 4:10 8:20 The middle one is the simplest way of expressing the ratio and that is always the way you would choose to write a ratio

11. You can make a comparison of more than two quantities The ratio of Twix to Mars to Dairy Milks is 2 to 3 to 4 In shorthand – The ratio of Twix : Mars : Dairy Milks is 2 : 3 : 4 At the sweet shop, John bought some sweets. He bought 2 Twix, 3 Mars, 4 Dairy Milks.

12. The order is important At the sweet shop, John bought some sweets He bought 2 Twix, 3 Mars, 4 Dairy Milks. What is the ratio of Mars to Twix to Dairy Milks ?

13. The order is important At the sweet shop, John bought some sweets He bought 2 Twix, 3 Mars, 4 Dairy Milks. What is the ratio of Mars to Twix to Dairy Milks ? The ratio of Mars : Twix : Dairy Milks is 3 : 2 : 4

14. This is a result of a survey of how some children get to school Bus4 Car7 Cycle2 Walk5 What is the ratio of children walking to taking the bus to get to school? Ratio from a table of values Comparing two quantities

15. This is a result of a survey of how some children get to school Bus4 Car7 Cycle2 Walk5 What is the ratio of walking to taking the bus? Ratio from a table of values The ratio is 5 : 4 Comparing two quantities

16. Bus4 Car7 Cycle2 Walk5 What is the ratio of getting to school by car to cycling to walking? This is a result of a survey of how some children get to school Ratio from a table of values Comparing three quantities

17. Bus4 Car7 Cycle2 Walk5 What is the ratio of getting to school by car to cycling to walking? This is a result of a survey of how some children get to school Ratio from a table of values The ratio is 7 : 2 : 5 Comparing three quantities

18. Getting values from a Pictogram What is the ratio of prawn to bacon?

19. Getting values from a Pictogram What is the ratio of prawn to bacon? The ratio of prawn : bacon is 3 : 5

20. Simplifying a ratio What is the ratio of Ready Salted to Cheese and Onion?

21. Simplifying a ratio What is the ratio of Ready Salted to Cheese and Onion? The ratio is 6 : 2

22. Simplifying a ratio A ratio of 4 : 8 can be simplified to 2 : 4 which can be simplified to 1 : 2 Can you see how?

23. Simplifying a ratio 4 : 8 2 : 4 1 : 2 ÷2

24. Simplifying a ratio 9 : 3 3 : 1 ÷3

25. Simplifying a ratio 25 : 10 5 : 2 ÷5

26. Favourite Crisps Looking at the ratio of Ready Salted to Cheese and Onion, can it be simplified? The ratio of 6 : 2 Simplifying a ratio

27. 6 : 2 3 : 1 ÷2

28. Favourite Crisps The ratio of Ready Salted to Cheese and Onion, should be written as 3 : 1 The ratio of 6 : 2 Simplifying a ratio where possible

29. Simplifying a ratio uses the same process as simplifying a fraction 8 : 10 12 : 20 16 : 24

30. When writing a ratio You have to consider the order of the numbers You also must simplify it as much as possible the way you would with a fraction – finding a common divisor

31. Red50 Black35 Green15 Silver20 Blue45 Yellow10 This table shows the colour of cars in a car park. What is the ratio of red cars to black cars? Write it in simplest form.

32. Red50 Black35 Green15 Silver20 Blue45 Yellow10 What is the ratio of red cars to black cars? Write it in simplest form. :

33. Red50 Black35 Green15 Silver20 Blue45 Yellow10 What is the ratio of red cars to black cars? Write it in simplest form. : 50:35

34. Red50 Black35 Green15 Silver20 Blue45 Yellow10 What is the ratio of red cars to black cars? Write it in simplest form. : 50:35 10:7 ÷5

35. The colour of cars Red50 Black35 Green15 Silver20 Blue45 Yellow10 What is the ratio of black to green to silver cars?

36. The colour of cars Red50 Black35 Green15 Silver20 Blue45 Yellow10 What is the ratio of black to green to silver cars? :: 35 : 15 : 20 7 : 3 : 4 Keep the order Simplify

37. Drawings, Maps, Diagrams Sometimes a diagram is made with a note This means the drawing will not be in proportion but is only a rough sketch. You would not take a ruler and start measuring because it is not an accurate drawing Not drawn to scale

38. Scales on maps and drawings If a map or drawing shows a legend with scale This means for every one unit on the map it is 20 units in real size. You could take measures of this drawing with a ruler. 1 : 20

39. The unit must be the same Scale of 1 mm on the map would actually be 20 mm or 2cm 2 cm on the map would actually be 40 cm 1 inch on the map would actually be 20 inches 1 : 20

40. Scales on maps Sometimes the scale might be worded this way (where the units are included in the scale) 2 cm : 1 m

41. Scales on maps 2 cm on the map actually represents 1 metre actually 4 metres in real life would be represented by 8 cm on the scale What would 12 cm on the map represent in real life? 2 cm : 1 m

42. Scales on maps What would 12 cm on the map represent in real life? 2 cm : 1 km

43. Scales on maps What would 12 cm on the map represent in real life? 2 cm : 1 km 12 cm : 6 km 2 cm : 1 km ×6