Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen

Pie Charts and Proportional Representation

Learn to read and build pie charts, recognising each slice as a fraction and percentage of the whole. Work through real data, record proportions, and compare pie charts to other graph types.

Teacher Class Feed

Load previous activity

    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at the pie chart on the screen. Each slice stands for a different fruit the class chose for break.

    Which slice is the biggest? Roughly what fraction of the whole class chose it, and how can you tell just by looking?

    2 - Watch and Notice ~9 mins

    Watch three pie charts on the board. In each one, notice how the size of every slice matches the size of its group, and how a half-slice turns exactly halfway round the circle.

    The last one is trickier: the groups are 12, 6 and 2 out of 20. Be ready to say what fraction of the whole each slice is.

    3 - Try It Together ~9 mins

    Today we build a pie chart together from a lunch survey of 20 pupils:

    • Sandwich — 8
    • Wrap — 6
    • Salad — 4
    • Soup — 2
    Worked example

    We add each group in turn and watch its slice grow. Take the sandwich slice: 8 pupils out of 20. Name the fraction, then read the percentage off the chart.

    Notice the salad slice: 4 out of 20. Name that fraction and say what simpler fraction it is.

    We do the same for each slice. As each one appears, we name its fraction of 20. Then we read its percentage off the chart.

    Lunch survey of 20 pupils

    4 - Record Each Slice in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, record each slice of the lunch-survey pie chart as a fraction, a decimal and a percentage in three columns, one row per slice.

    • Sandwich
    • Wrap
    • Salad
    • Soup
    Worked example

    Sandwich first. The count is 8 out of 20, so the fraction is 8/20. To get the decimal, divide the top by the bottom: 8 ÷ 20 = 0.4. To get the percentage, multiply the decimal by 100: 0.4 × 100 = 40%. So one row reads 8/20, 0.4, 40%.

    Use the same three steps for Wrap, Salad and Soup. When you have all four rows, add up the percentage column to check it totals 100%.

    5 - Class Challenge ~9 mins

    Now match the data to the right pie chart. We work through these frequency tables together, each one a step harder:

    • 5 and 5 out of 10
    • 3, 3 and 6 out of 12
    • 9, 6 and 5 out of 20
    • 8, 4, 4 and 4 out of 20
    Key point

    On the last table, predict which slice is exactly one fifth before we check.

    Match the data to the chart

    Pupil practice
    Module 9 · Data and Chance Mixed
    Lesson 96 · Pie Charts and Proportional Representation
    Download Activity Book page (PDF)
    123learn · Online learning platform

    Unlock the full learning experience

    You're previewing this lesson. Get full access to this lesson and hundreds more — each one ready to teach, with interactive activities, printable resources and pupil progress tracking built in.

    Hundreds of curriculum-aligned lessons
    Interactive activities in every lesson
    Printable resources & progress tracking
    Copyright Notice
    This lesson is copyright of Coding Ireland 2017 - 2025. Unauthorised use, copying or distribution is not allowed.
    🍪 Our website uses cookies to make your browsing experience better. By using our website you agree to our use of cookies. Learn more