Use understanding of angles, fractions and percentages to interpret pie charts | Maths

Starter quiz

There were some minibeasts in the garden. Half of them were ants and one quarter of them were ladybirds. There were 12 ants. How many ladybirds were there?
- '6' ✓
Izzy has 48 stickers. She sticks 12 stickers in her book. What percentage of the stickers are not stuck in the book? ______%
- '75' ✓
A cake is cut into pieces. Jun eats 50%, Izzy eats 12% and Jacob eats twice as much as Izzy. What percentage of the cake is left? ______ %
- '14' ✓
In a farmyard, ${1} \over {2}$ the animals were cows, ${1} \over {4}$ were sheep and the rest were an equal number of pigs and horses. There were 6 pigs. How many animals were in the farmyard?
- '48' ✓
A necklace uses 36 beads in 4 colours. Half the beads are red, ${1} \over {4}$ are blue and the rest are either green or yellow. There is one more green than yellow. How many green beads?
- '5' ✓
60 Year 6 children were choosing Leavers’ Hoodies. 20% chose a red hoodie, 25% chose a blue hoodie and the rest chose a grey hoodie. Which of the following statements are true?
- 12 children chose a red hoodie. ✓
- 25 children chose a blue hoodie.
- 33 children chose a grey hoodie. ✓

Exit quiz

Here is a pie chart. 16 children chose dogs as their favourite pet. How many children chose cats? ______ children
- '8' ✓
In the pie chart, the number of children that chose bowls and rugby is the same. 3 children chose rugby. How many children does the whole pie chart represent?
- 12
- 24 ✓
- 18
Izzy is using a protractor to draw a pie chart to show that one-third of Year 6 children walk to school. How many degrees will that sector measure on the pie chart?
- 72°
- 120° ✓
- 60°
This pie chart shows the ways in which children in Year 6 at Oak Primary School travelled to school last week. What percentage of children travelled by bike? ______%
- '43' ✓
There are 300 children at Oak Academy. This pie chart shows how the Key Stage 2 children travelled to school last week. Match the correct number of children to the method of travel.
- Walk
  
  ⇔
  
  75 ✓
- Car
  
  ⇔
  
  96 ✓
- Bike
  
  ⇔
  
  129 ✓
The pie chart shows the lunches chosen by 180 children at Oak Primary School. Twice as many children chose pizza as chose fish. How many children chose fish? ______ children.
- '15' ✓

Worksheet

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Presentation

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Lesson Details

Key learning points

A pie chart is a way of presenting data representing parts of a whole.
Pie charts can be interpreted using knowledge of angles.
Pie charts can be interpreted using knowledge of fractions and percentages.

Common misconception

Pupils may make mistakes converting an angle of a sector into a percentage.

Choose to work with angles that can easily be converted into percentages (e.g. 72° is equal to 20% of the whole chart). You could have these readily available in the classroom as part of a display to refer to throughout the lesson.

Keywords

Pie chart - A pie chart is a circular graph where sectors represent different groups in proportion to each other.
Sector - A sector is a part, or ‘pie-slice’ part, of a pie chart.