Look at the shapes on the board: a triangle, a square, a rectangle, a circle and a hexagon. If I asked you to put just the shapes with four corners into one group, which ones would you choose?
Hands up and tell me one shape that goes in, and one that stays out.
Take three hands-up answers, not open call-outs. Give a few seconds of quiet think-time first.
You only need the shapes visible on the board for this question. Don't reveal the sorting rules yet — this hook is just to get pupils noticing that we can pick one feature to group by.

Watch as I check this square. I'll show its sides, then its corners. A square has four sides and four corners, and every side is the same length.
Now the rectangle. It also has four sides and four corners, but two sides are long and two are short, so not all its sides are the same length.
The triangle has three sides and three corners. It would not go in our 'four corners' group.
The circle has no straight sides and no corners at all. Its edge is one smooth curve, so it is left out of any group about sides or corners.
Walk each shape aloud, one at a time, and name the property you are checking before you reveal it.
Say the property each time, e.g. 'our rule is four corners — does this shape pass?'
If the board is unavailable: sketch each shape on the whiteboard, or hold up the matching paper card, and count the sides and corners by pointing to each one with your finger as the class counts aloud.
Now we sort together. I will name one sorting rule each time. A pupil comes to the board and taps a shape to reveal how many sides and corners it has. Everyone at your desks says yes or no out loud before we decide which group it belongs to.
Our rules will be: shapes with three sides, then shapes with four corners, then shapes with all sides the same length.
This round is for talking it through together — a pupil reveals the property on the board, the whole class calls pass or fail, then the class names which group the shape belongs to. There are no group boxes in the tool, so the grouping happens out loud against the fixed rule.
Use the inspector only to reveal the side or corner count so the class can see it before deciding. Say the sorting rule aloud before each shape, and keep it fixed for the whole round.
Pacing: between rules, do a quick turn-and-name ("name me one shape that passed our last rule") and revoice a pupil's answer each time, so the watching rows stay with you across the round.
Watch for pupils sorting by how a shape looks rather than by the named property — a tilted square is still a square. Revoice: 'we check the rule, not the tilt.'
If the board is unavailable: sketch each shape on the whiteboard, or hold up the matching paper card, and count its sides and corners by pointing as the class counts aloud, then ask the class which group it belongs to.
In your maths copy, draw two boxes. Label one box "4 corners" and label the other box "not 4 corners".
Then write or draw three shapes into each box, choosing from the shapes we have looked at today.
Walk the room, glance for shapes landing in the right box — no individual marking, this is whole-class copybook practice.
Look for the circle and triangle landing in 'not 4 corners', and the square and rectangle in '4 corners'.
Now sort your own cut-out paper shapes at your desk. I will give you one rule at a time, and each rule gets a little harder.
Our first rule is: keep the shapes that have corners. A corner is a point where two straight sides meet, so the circle, with its smooth curved edge, stays out.
For the next rule, keep the shapes that have exactly four sides. Then keep the shapes that have four sides and all of them the same length. Finally, find the shape that has four corners and four equal sides, and explain why it is the only one left.
This round is the hands-on practice. Hand out one set of printed shape cards per group so every pupil has the real shapes in front of them, and sort at the desks — this is not a board demonstration.
Give the rules one at a time, not all four at once. Say a rule, let groups sort, check together, then reveal the next rule. Each rule narrows the set: the last rule should leave only the square.
Ask pupils to say each rule aloud before they start, then keep to it.
Note on the hexagon: the hexagon is used here informally as a 'count the sides' shape — pupils count that it has six sides and so fails the 'exactly four sides' rule. It is named and taught more fully in a later lesson; here it is just a useful extra shape to count.
One pupil says the square belongs in the "4 sides" group. Another says it belongs in the "all sides equal" group. Could the same shape belong to two different groups at the same time? When?
Listen for pupils naming the square as the shape that fits two rules at once. Revoice a strong answer: 'so the square is true for both rules — it has four equal sides, so it fits both groups.'
Head off the idea that a shape can only ever be in one group. The point of the lesson is that a shape can pass more than one property check at the same time.
Next we look more closely at triangles and four-sided shapes, and find out why every square is also a quadrilateral.
Keep this brisk — recap the three bullets and point ahead to triangles and quadrilaterals.
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