Every slice is the same size. That is a fraction pizza: the whole circle cut into equal parts.
The same circle, but every slice is a different size. That is a pie chart: the slices match the data counts. 12 pupils picked apples, 6 picked bananas, 4 picked oranges, 2 picked pears.
What is the difference between these two pictures? Why is one cut equally and the other not?
Take three hands-up answers on the difference before steering toward a single observation: 'the pizza is cut into equal slices because we are showing fractions; the pie chart shows different-sized slices because the data is different.' Do not reveal the rule yet. Watch and Notice builds it.
Watch four pie charts on the IWB. Each one is built from a real class data set, and each shows how the slice sizes match the data counts.
Apples 12, Bananas 6, Oranges 4, Pears 2. The apple slice is exactly half the circle, the banana slice is a quarter, and the two smaller slices fit around them.
If every category has the same count, every slice is the same size. This is what a pie chart looks like when nothing is bigger than anything else, and it looks just like the pizza from the hook.
Walk 14, Cycle 4, Bus 6, Car 4. Walking takes half the pie because half the class walks. The other three categories share the other half.
Football 17, Hurling 7, Soccer 4, Tennis 2, Other 2. The biggest slice is just over half: football wins by a hair.
Walk each example aloud, pausing on each pie before moving to the next.
Do not skip Equal data. The equal-data contrast is what makes the proportional-slice rule visible. Without it pupils carry away that pies are always uneven, which is wrong.
Today we explore: type counts into the pie chart and watch the slices respond. Pick a class question with three or four categories, name them on the board, and try a few different count combinations together to see how the pie reshapes.
This round is for talking it through together — pupils take turns at the board and the class agrees or corrects out loud.
Useful starter prompts to feed the class: 'how many would we need in each category to make the biggest slice exactly half?', 'can we make four equal slices?', 'what happens if one category goes to zero?'. The percentages and angle readouts update live as the counts change, so pupils can predict before each edit and check after.
Rotate four pupils through the IWB so several get a turn typing counts. Keep the pace brisk: a short prediction first, then the edit, then a quick check.
In your maths copy, sketch the favourite-fruit pie chart with the four slices visibly sized to match the data. Label each slice with both its count and its percentage:
Then shade the biggest slice (the apples) lightly with your pencil so it stands out.
Walk the row glancing at slice sizes and labels — this is whole-class copybook practice, not marking. Watch for slices drawn in roughly the wrong proportion; revoice 'a quarter slice is a quarter of the whole circle, not a quarter of the apple slice' if pupils mix that up. Two minutes is plenty.
Today's bank: match each target pie. The label tells you what percentage each category should be; type counts that produce those percentages, then check. The first few are friendly halves and quarters; the last one stretches you onto a five-category pie.
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.
Watch the percentages bar update on each tap: the friendly ones (50%, 25%, 12.5%) snap to small totals like 4-2-1-1 or 8-4-2-2. The harder ones force pupils to think about totals first: 'how many pupils altogether before the counts can land on these percentages?'.
If a pupil's counts produce the correct percentages but use different numbers (e.g. 8-4-2-2 instead of 4-2-1-1), the answer still checks — the pie shape is the answer, not the specific counts. Revoice why.
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