Starter quiz
- __________, __________, __________ and __________ all represent proportion and you can interchange between them; this means there are lots of different ways to work out a percentage of an amount.
- Money, food, shopping and coins
- Fractions, proper fractions, improper fractions and mixed numbers
- Fractions, decimals, percentages and ratio ✓
- Positive numbers, negative numbers, squares and cubes
-
- 1% is equivalent to the decimal ______.
- '0.01' ✓
- as a percentage is ______%.
- '6%' ✓
- Match each percentage to its decimal equivalent.
- 15%⇔0.15 ✓
- 21%⇔0.21 ✓
- 9%⇔0.09 ✓
- 90%⇔0.9 ✓
- 0.9%⇔0.009 ✓
- 1.5%⇔0.015 ✓
- What percentage of 98 is represented by this calculation: 98 − 9.8?
- 1%
- 10%
- 50%
- 90% ✓
- 99%
-
- 51% of 400 is ______.
- '204' ✓
Exit quiz
- What percentage is equivalent to the decimal 0.01?
- 0.01%
- 0.1%
- 1% ✓
- 10%
- 100%
-
- 49% of 740 is ______.
- '362.6' ✓
- 22% of 650 is ______.
- '143' ✓
- Match each percentage question with the correct calculation.
- 53% of 900⇔0.53 × 900 ✓
- 35% of 900⇔0.35 × 900 ✓
- 2% of 900⇔0.02 × 900 ✓
- 20% of 900⇔0.2 × 900 ✓
- 27% of 830 is ______.
- '224.1' ✓
The UK government distributed approximately £720 billion to the a number of sectors. How much money does "Transport" receive?- £14.4 billion
- £28.8 billion ✓
- £93.6 billion
- £144 billion
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Worksheet
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Presentation
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Video
Lesson Details
Key learning points
- A double number line can be used to find a percentage of a quantity.
- A ratio table can be used to find a percentage of an amount.
- A percentage can be written as a decimal called a multiplier.
- This multiplier can be used to find a percentage of an amount.
Common misconception
A single digit percentage is incorrectly worked out by dividing by 10 and not 100 e.g 3% = 0.3
Two responses can be used to remind students that to covert a percentage into a decimal; we divide by 100; using 3%, ask what 30% is as a decimal and 3% as a decimal. Pupils realise they cannot be the same. A place value chart also helps.
Keywords
Associative law - The associative law states that a repeated application of the operation produces the same result regardless of how pairs of values are grouped. We can group using brackets.
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