Starter quiz
- Complete the sentence: The exchange rate shows a ______ relationship between 2 currencies.
- 'multiplicative' ✓
- A graph representing a proportional relationship must go through which point?
- (2, 1)
- (2, 2)
- (0, 0) ✓
- (1, 2)
-
Use the graph to convert £100 into dollars ($).- '£125' ✓
- Use the graph to convert $25 into pounds (£).
- '£20' ✓
- £1 : ¥182. Use this exchange rate to convert £300 into yen (¥).
- '¥54 600' ✓
- £1:¥182 Use this exchange rate to convert ¥31 850 into pounds (£).
- '£175' ✓
Exit quiz
- In this list of common metric units of length which one is missing? millimetre, ______, metre, kilometre
- 'centimetre' ✓
- 1 km = 1000 m, 1 m = 100 cm. What is 480 000 cm in kilometres?
- 480 km
- 48 km
- 4.8 km ✓
- 0.48 km
- 0.048 km
-
- The scale on a map is 1:300 000. The distance between two places on the map is 5 cm. What is the distance in real life in kilometres?
- 1.5 km
- 15 km ✓
- 150 km
- 1500 km
- 15 000 km
-
- The scale on a map is 1:50 000. The distance between two places is 4.3 km. What is the distance on the map?
- 0.086 cm
- 0.86 cm
- 8.6 cm ✓
- 86 cm
-
- The length of a leaf is 3.5 inches. Convert this into centimetres given that 1 inch = 2.54 cm.
- '8.89 cm' ✓
- The distance between London and Edinburgh is 403 miles. Convert this into kilometres given that 5 miles = 8 km.
- '644.8 km' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- Maps are a practical example of a multiplicative relationships.
- The scale factor is the multiplier.
- Multipliers have been used in previous learning, such as converting between units of measurement.
Common misconception
Using multiplication as repeated addition leads to incorrect additive strategies of ratios.
Focus on the multiplicative relationships between parts to whole or whole to parts.
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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