New
New
Year 7
Multiplicative relationships in context
I can appreciate that any two numbers can be connected via a multiplicative relationship.
New
New
Year 7
Multiplicative relationships in context
I can appreciate that any two numbers can be connected via a multiplicative relationship.
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Lesson details
Key learning points
- A multiplicative relationship is a proportional relationship.
- Real-life contexts include converting money.
- This multiplier can be thought of as a scaling factor.
Keywords
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.
Common misconception
Only seeing multiplication as repeated addition leads to incorrect additive strategies for ratios.
Focus on the multiplicative relationships between parts to whole or whole to parts. Ratios allow the multiplicative relationship to be seen.
Pupils can create their own currency and calculate the multiplier from GBP to their currency as well as the multiplier from their currency to GBP. Pupils can create their own questions and peer assess one another.
Teacher tip
Equipment
Licence
This content is © Oak National Academy Limited (2024), licensed on Open Government Licence version 3.0 except where otherwise stated. See Oak's terms & conditions (Collection 2).
Lesson video
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Starter quiz
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6 Questions
Q1.
Here is a ratio table showing how to make a smoothie. Select which of the following multiplicative relationships show this ratio.
Amount of milk × 0.5 = Amount of yogurt
Q2.
Here is a ratio table showing the ratio between eggs and sugar in a pudding. For every 2 parts eggs, there are 3 parts sugar in the pudding. Which of the rows is incorrect?
2 eggs and 3 sugars
6 eggs and 9 sugars
10 eggs and 15 sugars
7 eggs and 10.5 sugars
Q3.
Work out how many slices of apple are needed to make 12 smoothies if 8 slices of apple are needed for 1 smoothie.
Q4.
The ratio table can be used to make a cake. How many bananas are needed when 600 g of sugar is used?
Q5.
The ratio table can be used to make some cakes. Sofia uses 15 eggs to make some cakes for the school fete. Sofia should use g of flour.
Q6.
The ratio table can be used to make some cakes. Andeep uses 1 kg of flour to make some cakes for the school fete. Andeep should use eggs.
Exit quiz
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6 Questions
Q1.
This multiplicative relationship applies to lots of real life contexts. Select which of the following show real life use of ratio.
lowest common multiple
reciprocals
Q2.
For every £2, you get $3. This means for every £1, you receive $ .
Q3.
To make vegetable soup, Jun needs 8 carrots, 4 potatoes, 200 ml water and 2 stock cubes. Jun has 23 carrots, 10 potatoes, 600 ml of water and 5 stock cubes. What must be added for the correct ratio?
Nothing. The ratio is correct.
4 carrots, 4 potatoes and 1 stock cubes
8 carrot, 3 potatoes and 2 stock cubes
Q4.
Here is a ratio table showing the conversion from pounds (£) to USA dollars ($). Select the incorrect ratio.
£1 to $1.25
£3 to $3.75
£15 to $18.75
Q5.
Select the statements which are equivalent to "For every £1, you get €2.50"
For every £0.80, you get €1.40
Q6.
Starting with the best exchange rate, put the exchange rates for converting £ to $ in order from best to worst. (I.e. the more dollars you get per pound is the best exchange rate.)