Starter quiz
- Which of the following words indicate an decrease?
- depreciate ✓
- discount ✓
- interest
- loss ✓
- profit
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- Which of the following is the correct calculation for finding 5% of 300?
- 300 × 0.05 ✓
- 300 ÷ 0.5
- 300 × 0.5
- 300 ÷ 0.05
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- Match each question to the correct multiplier.
- Increase by 4%⇔×1.04 ✓
- Decrease by 40%⇔×0.6 ✓
- Decrease by 6%⇔×0.94 ✓
- Increase by 60%⇔×1.6 ✓
- A t-shirt costs £13.50 in a sale offering a 25% discount. The cost of the t-shirt before the discount was £______
- '18' ✓
- The value of a motorbike depreciates by 12% each year. It is now worth £6512. Last year the motorbike was worth £______.
- '7400' ✓
- Mr. Oak sells a vase for £72. This gives him a 20% profit. Mr. Oak originally purchased the vase for £______.
- '60' ✓
Exit quiz
- __________ is the decimal equivalent of a percentage.
- An addition
- A division
- A multiplier ✓
- A subtraction
-
- 100% = 36 and 120% = 43.2. The percentage change is ______%.
- '20' ✓
- The cost of a laptop decreases from £450 to £360. What is the percentage change?
- 20% ✓
- 25%
- 80%
- 120%
- 125%
-
- Jun thinks of a number and decreases it by a percentage. The number Jun thought of was 160 and his new number is 136. Jun changed 160 by ______%
- '15' ✓
- Jacob’s score on a game increases from 3450 to 3726. The percentage change in Jacob's score is ______%.
- '8%' ✓
- A reduced sugar bar of chocolate contains 35 g of sugar. The normal bar contains 15 g more of sugar. The sugar has been reduced by ______%.
- '30' ✓
Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- The percentage change can be found using a bar model.
- The percentage change can be found using a double number line.
- The percentage change can be found using a ratio table.
Common misconception
Forgetting to find the percentage change.
Emphasise the word change. Encourage pupils to write down the 2 percentages with their relevant values. Go back to the question and calculate the actual change they should notice that this is neither of the 2 values but the difference between them.
Keywords
Proportion - Variables are in proportion if they have a constant multiplicative relationship.
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