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Year 7

Checking understanding of multiplicative relationships

I can use proportionality as a comparison rather than just absolute values.

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New
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Year 7

Checking understanding of multiplicative relationships

I can use proportionality as a comparison rather than just absolute values.

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Share activities with pupils
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Lesson details

Key learning points

  1. A smaller percentage of one number can be greater than a larger percentage of a different number.
  2. Proportionality offers another way to compare values.
  3. One way, in isolation, does not give a full picture.

Keywords

  • Proportionality - Variables are in proportion if they have a constant multiplicative relationship.

Common misconception

Pupils only see the amount, not proportion. e.g £30 from £100 is no different to £30 from £60.

Referring to the whole using bar models or fractions can emphasise the amount with respect to the whole.

Draw a 4 by 4 grid on the board with varying amounts of integer percentages e.g. 1%, 5%, 10%, 20%, etc. Pupils must choose a quantity and amount to supersede the previous pupil amount. E.g 10% of 50 < 1% of 1000 < 20% of 60.
Teacher tip

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.
is a part to whole (sometimes part to part) comparison.
Correct answer: Proportion
Lowest common multiple
Highest common factor
Additive inverse
Multiplication
Q2.
10% of 500 is .
Correct Answer: 50, fifty
Q3.
10% of 800 is
Correct Answer: 80, eighty
Q4.
10% of £45 is £
Correct Answer: 4.50, 4.5, £4.50, £4.5
Q5.
Starting with largest, put these percentage calculations in descending order.
1 - 10% of 250
2 - 20% of 90
3 - 20% of 80
4 - 10% of 100
Q6.
Starting with the largest, put these percentage calculations in descending order.
1 - 15% of 200
2 - 30% of 90
3 - 50% of 50
4 - 80% of 20
5 - 100% of 10

Exit quiz

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6 Questions

Q1.
Select the different ways in which proportions can be represented.
Correct answer: percentages
Correct answer: decimals
Correct answer: fractions
Correct answer: ratios
lowest common multiple
Q2.
What is 300 % of 0? .
Correct Answer: 0, zero
Q3.
Match each proportion with the correct statement.
Correct Answer:$$\frac{7}{10}$$ were correct,In test A, Laura gest 14 out of 20 correct

In test A, Laura gest 14 out of 20 correct

Correct Answer:$$\frac{1}{2}$$ were correct,In Test B, Sofia gets 35 out of 70 correct.

In Test B, Sofia gets 35 out of 70 correct.

Correct Answer:$$\frac{4}{5}$$ were correct,In Test C, Jacob go 4 out of 5 correct.

In Test C, Jacob go 4 out of 5 correct.

Correct Answer:$$\frac{13}{25}$$ were correct,In Test D, Lucas got 104 out of 200 correct.

In Test D, Lucas got 104 out of 200 correct.

Q4.
An Oak teacher is paid £4000 per month and gets a 15% pay rise. A part time Oak teacher gets £800 per month and receives a £96 pay rise. Are the pay rises the same? Select the correct statement.
Yes, both pay rises are 15%
No, the part time Oak teacher receives a higher pay rise.
Correct answer: No, the Oak teacher receives a higher pay rise than the part time teacher.
There is not enough information to determine if they receive the same pay rise.
Q5.
Match each description to the correct statement.
Correct Answer:A receives more than B,A receives 10% of £80 and B receives 50% of £14

A receives 10% of £80 and B receives 50% of £14

Correct Answer:B receives more than A,A receives 35% of £90 and B receives 30% of £120

A receives 35% of £90 and B receives 30% of £120

Correct Answer:A receives the same as B,A receives 15% of £400 and B receives 80% of £75

A receives 15% of £400 and B receives 80% of £75

Correct Answer:Not enough information,A receives 85% and B receives 90%

A receives 85% and B receives 90%

Q6.
A 10% reduction of a 20% reduction of £200 is £ .
Correct Answer: 144, £144, £ 144, 144.00, £144.00