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

Bar Charts: Choosing a Scale

Explore how changing the y-axis scale transforms a bar chart's appearance. Learn to choose a scale that fits your data and tells the story clearly, balancing detail with readability.

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    1 - Getting Started ~3 mins

    Today's puzzle

    Look at this bar chart. One of the bars is 30. The grid only goes up to 12. What has gone wrong?

    2 - Watch and Notice ~8 mins

    Watch as we draw the SAME data set three times in a row — first with the y-axis stepping every 1, then every 2, then every 5. The numbers are identical each time, but the chart tells a different story at each scale. Then a fourth chart shows what happens when one bar is much bigger than the others.

    Same data, yStep 1

    Every square on the y-axis is worth 1. Easy to read off exact values, but the chart climbs all the way up to 12 and looks crowded.

    Same data, yStep 2

    Every square is worth 2. The chart is half as tall, much cleaner, still easy to read.

    Same data, yStep 5

    Every square is worth 5. Now we cannot tell 3 from 5 — the two smallest bars look almost the same. We have lost detail.

    Big counts, yStep 5

    One bar is 30, far bigger than the others. yStep 5 keeps the tall bar on the page and still leaves the small bars readable.

    3 - Try It Together ~10 mins

    Today we explore: the same data set across four yStep settings — 1, 2, 5 and 10. Before each switch, predict which scale will tell the story best. Then a pupil at the board sets the yStep, and we check together.

    Find the best yStep for this data

    4 - Sketch the Same Data at Two Scales in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, redraw the same data set at two different y-step scales (yStep 1 then yStep 5). Use these four numbers:

    • Walk: 12
    • Cycle: 5
    • Bus: 8
    • Car: 3
    Draw the first chart with every square worth 1. Draw the second chart with every square worth 5. Underneath both charts, write one sentence: which scale tells the story best, and why?

    5 - Class Challenge ~7 mins

    Key point

    Today's bank: build each chart by dragging the bars to the values you are told. After each one, talk through which yStep you would have chosen and why — the chart tells you when you have it right.

    Build the chart

    Pupil practice
    Module 7 · Data, Chance and the Co-ordinate Plane Data & Chance
    Lesson 90 · Bar Charts: Choosing a Scale
    Coding Ireland · Online learning platform

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