Look at this bar chart. One of the bars is 30. The grid only goes up to 12. What has gone wrong?
Take two or three hands-up answers, not open call-outs. Give five seconds of quiet think-time before any hands go up. Pupils will say the bar doesn't fit, the chart is too small, we need a bigger grid. Revoice toward the lesson question: so the squares aren't worth enough — what could each square be worth instead of 1? Do not name yStep yet; keep this short.
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.
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.
Every square is worth 2. The chart is half as tall, much cleaner, still easy to read.
Every square is worth 5. Now we cannot tell 3 from 5 — the two smallest bars look almost the same. We have lost detail.
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.
Walk each example aloud, one at a time. The class watches; nobody is at the board yet.
Do not move on until the class can say in their own words 'we pick the yStep that fits the biggest bar without flattening the small ones'.
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.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Start at the bar-chart-builder with the data already loaded (Walk 12, Cycle 5, Bus 8, Car 3). Run through the yStep settings in turn — 1, 2, 5, 10. For each, ask the class first 'predict — does this scale work for this data?' before a pupil at the board makes the switch. Listen for pupils naming yStep 2 as the sweet spot for these numbers, and yStep 10 as obviously too coarse (every bar lands on the same square). Revoice 'so the smallest difference we want to see decides how small our step has to be'.
If time allows, swap to a second data set (Soccer 20, GAA 15, Tennis 10, Other 5) and ask 'now what changes? Does yStep 2 still work?' — the class should reach yStep 5 by reasoning aloud.
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 the room glancing at axis labelling and bar heights — this is whole-class copybook practice, not marking. Look for: y-axis marked at correct intervals on each chart; bars sized to the chosen scale (not the same height on both). If a pupil's two charts look identical, gently point at the y-axis numbers and ask 'is each square worth the same thing here as here?'
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.
This round is the practice bank — pupils take turns at the board, check each answer, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
Pupils rotate at the IWB; the class predicts the readable yStep BEFORE the pupil at the board drags bars. The fourth core problem (Apples 30, Pears 4, Bananas 6, Grapes 8) is the dominant-bar case — pause there and ask 'why does this one feel different from the others?'.
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