Starter quiz
- In this list of common metric units of length which one is missing? millimetre, centimetre, metre, ______.
- 'kilometre' ✓
- 1 km = 1000 m, 1 m = 100 cm. What is 5 400 000 cm in kilometres?
- 5400 km
- 540 km
- 54 km ✓
- 5.4 km
- 0.54 km
-
- The scale on a map is 1:5 000 000. The distance between two places on the map is 5 cm. What is the distance in real life in kilometres?
- 2.5 km
- 25 km
- 250 km ✓
- 2500 km
- 25 000 km
-
- The scale on a map is 1:500 000. The distance between two places is 86 km. What is the distance on the map?
- 17.2 cm ✓
- 172 cm
- 17.2 km
- 172 m
-
- The length of a pencil is 2.5 inches. Convert this into centimetres given that 1 inch = 2.54 cm.
- '6.35 cm' ✓
- The distance between London and Manchester is 200 miles. Convert this into kilometres given that 5 miles = 8 km.
- '320 km' ✓
Exit quiz
- Fill in the missing word: Variables are in proportion if they have a ______ multiplicative relationship.
- 'constant' ✓
- Select the bar model that is correctly labelled to solve this problem: Sam and Jacob share some stickers in the ratio of 3 : 7. Sam get 168 less than Jacob. How many stickers does Sam get?
- Sam and Jacob share some stickers in the ratio of 3 : 7. Sam get 168 less than Jacob. How many stickers does Sam get?
- '126' ✓
- The ratio of children to adults in a club is 2 : 3. If there are 26 children, how many are in the club in total?
- '65' ✓
- A bag contains red, green and yellow sweets. of them are red. The rest of the sweets are either green or yellow, in the ratio 4 : 5. There are 72 sweets in the bag. How many are yellow?
- '30' ✓
- Andeep’s older sister Belle is 3 times his age. His brother Charlie is of Belle's age. The total of Andeep’s and Belle’s ages is 48. How old is Charlie?
- '30' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- Any fraction can be turned into a ratio.
- Moving between fractions and ratios can make a problem easier.
- There can be lots of information, it is important to think about what is required to solve the problem.
Common misconception
Always dividing the amount by the sum of the 'parts' of the ratio to get one 'part'.
Offer opportunities to match problems to bar models ensure the same numbers are used to highlight the differences.
Keywords
Proportion - Proportionality means when variables are in proportion if they have a constant multiplicative relationship.
Ratio - A ratio shows the relative sizes of 2 or more values and allows you to compare a part with another part in a whole.
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