Explain what percent means and represent a percentage in different ways | Maths

Starter quiz

Match the pairs of numbers that sum to 100
- 30
  
  ⇔
  
  70 ✓
- 60
  
  ⇔
  
  40 ✓
- 90
  
  ⇔
  
  10 ✓
- 20
  
  ⇔
  
  80 ✓
- 50
  
  ⇔
  
  50 ✓
Match the pairs of numbers that sum to 100
- 65
  
  ⇔
  
  35 ✓
- 55
  
  ⇔
  
  45 ✓
- 72
  
  ⇔
  
  28 ✓
- 62
  
  ⇔
  
  38 ✓
- 53
  
  ⇔
  
  47 ✓
The whole has been divided into 100 equal parts. Each part is one-__________ of the whole.
- tenth
- hundredth ✓
- thousandth
Match the division equation to its quotient.
- 100 ÷ 10 =
  
  ⇔
  
  10 ✓
- 100 ÷ 5 =
  
  ⇔
  
  20 ✓
- 100 ÷ 4 =
  
  ⇔
  
  25 ✓
- 100 ÷ 2 =
  
  ⇔
  
  50 ✓
Match the letters to the estimated value on the number line.
- A
  
  ⇔
  
  25 ✓
- B
  
  ⇔
  
  91 ✓
- C
  
  ⇔
  
  53 ✓
- D
  
  ⇔
  
  75 ✓
Match to show one-tenth of these numbers.
- One-tenth of 80
  
  ⇔
  
  8 ✓
- One-tenth of 60
  
  ⇔
  
  6 ✓
- One-tenth of 30
  
  ⇔
  
  3 ✓
- One-tenth of 100
  
  ⇔
  
  10 ✓
- One-tenth of 50
  
  ⇔
  
  5 ✓

Exit quiz

Match the keywords to the correct description.
- Percent means
  
  ⇔
  
  the number of parts in each 100 ✓
- A percentage is
  
  ⇔
  
  a proportion of a whole. ✓
Percent means how many parts in each 100 Match the number of people to the correct percentage.
- 35%
  
  ⇔
  
  35 people in each 100 ✓
- 60%
  
  ⇔
  
  60 people in each 100 ✓
- 17%
  
  ⇔
  
  17 people in each 100 ✓
- 90%
  
  ⇔
  
  90 people in each 100 ✓
What percentage is represented by the one-hundred squares? ______%
- '60' ✓
Estimate the percentage of power left in each of the batteries.
- A
  
  ⇔
  
  80% ✓
- B
  
  ⇔
  
  10% ✓
- C
  
  ⇔
  
  40% ✓
Estimate how much of the race that Jun has completed. ______%
- '50' ✓
Estimate how much of the race each child has completed.
- Jacob
  
  ⇔
  
  10% ✓
- Izzy
  
  ⇔
  
  80% ✓
- Sofia
  
  ⇔
  
  60% ✓
- Alex
  
  ⇔
  
  40% ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

Percent means the number of parts in each hundred.
Percentages are parts of the whole.
Percentages can be represented using one-hundred squares or number lines.

Common misconception

Pupils may make mistakes when determining the percentage of different wholes that are not equal in size or value.

Talk about the differences between the different wholes explored. Describe percentage as a proportion of that specific whole. Compare two different wholes where the percentages of them are the same and where the percentages of them are different.

Keywords

Percent - Percent means the number of parts in each hundred.
Percentage - A percentage is a proportion of a whole.