Here are two circles cut into slices. One is a birthday pizza cut into four slices that are all the same size. The other is a survey of our favourite fruit, drawn as a circle where the slices are all different sizes.
The pizza has equal slices. The fruit survey does not. What is the difference between them?
On the left is a pizza cut into four equal slices — a quarter each. On the right is a pie chart of a favourite-fruit survey: 12 apples, 6 bananas, 4 oranges, 2 pears. Look at how the slices are different sizes.
Notice which slice fills exactly half the circle, and read each slice as a percentage.
Now we build our own pie chart and watch the slices reshape. Our survey asks how the class gets to school: 8 walk, 4 cycle, 6 take the bus and 4 come by car.
A pie chart is proportional. That means the slice size always matches how many votes it got — more votes, a bigger slice.
First, predict which slice will be biggest. Then read each slice as a percentage. After that, we change the walk count and watch every other slice move to make room.
In your maths copy, sketch the favourite-fruit pie chart with the four slices drawn to different sizes: 12 apples, 6 bananas, 4 oranges, 2 pears.
Before you label the percentages, we turn one count into a percentage together. Add the votes to get the total: 12 + 6 + 4 + 2 = 24. Apples got 12 of those 24. Divide the count by the total, then multiply by 100: 12 ÷ 24 = 0.5, and 0.5 × 100 = 50. So the apple slice is labelled 12, 50%.
Now label each of your four slices with both its data count and its percentage. Shade the biggest slice.
Now we work through four targets together. First, build a pie for 10 red and 10 blue counters. Next, 15 red and 5 blue counters. After that, a sweet survey with 8 fizzy, 4 chews, 6 chocolate and 2 mints. Last, the break-time drinks survey: 11 water, 4 juice, 3 milk and 2 none.
Each time, predict the shape first. Then press the Check button to confirm.
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