Starter quiz
- ______ is a part to whole (sometimes part to part) comparison.
- Proportion ✓
- Lowest common multiple
- Highest common factor
- Additive inverse
- Multiplication
-
- 10% of 500 is ______.
- '50' ✓
- 10% of 800 is ______
- '80' ✓
- 10% of £45 is £______
- '4.50' ✓
- 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
- 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
- Select the different ways in which proportions can be represented.
- percentages ✓
- decimals ✓
- fractions ✓
- ratios ✓
- lowest common multiple
-
- What is 300 % of 0? ______.
- '0' ✓
- Match each proportion with the correct statement.
- were correct⇔In test A, Laura gest 14 out of 20 correct ✓
- were correct⇔In Test B, Sofia gets 35 out of 70 correct. ✓
- were correct⇔In Test C, Jacob go 4 out of 5 correct. ✓
- were correct⇔In Test D, Lucas got 104 out of 200 correct. ✓
- 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.
- 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.
-
- Match each description to the correct statement.
- A receives more than B⇔A receives 10% of £80 and B receives 50% of £14 ✓
- B receives more than A⇔A receives 35% of £90 and B receives 30% of £120 ✓
- A receives the same as B⇔A receives 15% of £400 and B receives 80% of £75 ✓
- Not enough information⇔A receives 85% and B receives 90% ✓
- A 10% reduction of a 20% reduction of £200 is £______.
- '144' ✓
Worksheet
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Presentation
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Lesson Details
Key learning points
- A smaller percentage of one number can be greater than a larger percentage of a different number.
- Proportionality offers another way to compare values.
- One way, in isolation, does not give a full picture.
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.
Keywords
Proportionality - Variables are in proportion if they have a constant multiplicative relationship.
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