Math · Stage 6

Construct a pie chart by turning each part into a fraction of 360°

Turn data into a circle: write each part as a fraction of the whole, multiply that fraction by 360° to get its slice angle, then draw and label every sector — and check the angles add up to a full 360°.

✦ Math📘 Stage 6 · S6⏱ ~14 min🧒 Ages 10–12★ Free to start

I can construct a pie chart by working out each sector as a fraction of 360° and drawing it.

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Kavi's Pizza-Slice Chart 🥧

Kavi wanted to show the whole class's favourite fruits in ONE picture — a circle cut into slices! "A pie chart turns each group into a slice of the circle," hooted Kavi. "First I write the group as a fraction of the whole, then I turn that fraction into a share of 360° — because a full circle is 360°. Bigger group, bigger slice. And every slice together makes one whole turn!"

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What your child will learn

1Turn each part into a slice of 360°A full circle is 360°. To construct a pie chart, give every group a slice whose size matches its share. Three steps for each group: write it as a fraction of the whole, multiply that fraction by 360° to get the slice's angle, then draw the sector with a protractor and label it. Tap each line to hear it.

2A quarter of the circle is 90°Here is a circle split into 4 equal sectors. Each equal sector is 360° ÷ 4 = 90°, so one shaded quarter is 1/4 of 360° = 90°. Tap the sectors — the more you shade, the bigger the angle: 2 sectors = 180°, 3 sectors = 270°, all 4 = 360°.

3Common slices to know by heartLearn these core slices — then any part is quick to turn into an angle. Tap a row to hear it.

4Build every slice, then check 360°A survey of 20 pets: dogs 10, cats 5, fish 3, birds 2. Turn each group into its slice angle — each pet is worth 360 ÷ 20 = 18°. Tap each line.

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A peek inside

In a survey of 24 children, 6 chose football. What angle is the football sector on the pie chart?

6/24 = 1/4, then 1/4 × 360°

Try this at home: A pie chart shows 40 pets; dogs are 20 of them. What angle is the dog sector? (part/40 × 360) __

Ready to play and learn?

Start the free interactive lesson, or print the handout for screen-free play.

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Part of Math · Stage 6 · S6 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.