Look at these together: a flat triangle, a flat square, and three solid shapes shaped like a cereal box, a tin of beans and a triangular chocolate packet. What is the same about them, and what is different? If you had to put them into groups, what would you sort them by?
Take three hands-up answers, not open call-outs. The on-screen shapes (or the lesson photo) are the canonical opener; showing a real cereal box, tin and triangular packet beside the flat shapes is an optional upgrade if you happen to have them to hand.
Listen for the natural sorting ideas pupils offer (number of sides, flat vs solid, round vs straight) — you will return to these in the wrap.
The interactive reveals each shape one property at a time: sides, vertices, parallel sides and fold-lines for the flat shapes, then faces, edges and vertices for the solids. Watch closely and count each part as it lights up. A fold-line, or line of symmetry, is a line you could fold the shape along so both halves match exactly.
Triangle: three sides, three vertices. Introduce vertex/vertices and fold-line as each reveals.
Square: four equal sides, four vertices, two pairs of parallel sides, four fold-lines. Pause on the parallel pairs; parallel means they run alongside and never meet, like train rails.
Hexagon vs trapezium: regular-vs-irregular contrast. Regular hexagon, all sides equal. Ask the class to predict the trapezium's fold-lines before revealing (just one, sometimes none).
Before solids: take two hands-up to 'name one thing that tells two four-sided shapes apart', revoice a pupil (parallel sides, or lines of symmetry). This break re-engages the back rows.
Cube: six faces, twelve edges, eight vertices. Face is a flat side you could lay on a table; edge is where two faces meet.
Triangular prism: five faces, nine edges, six vertices.
Cylinder: head off the 'no faces' idea. By primary convention three surfaces (curved surface plus two flat circles), two edges, no vertices. Point to the curved surface as you name it; tapping each part makes it easier to spot.
Now we try it together. The whole class predicts first, then the teacher brings a pupil up in turn to reveal and check — your job from your seat is to predict and agree, not to come up unless you are called.
For the flat shape on the board, call out its sides, its vertices and its lines of symmetry, then a pupil reveals each property to check. Next we look at a solid shape, rotate it on screen, and count its faces, edges and vertices. Count along with the rotating shape on screen — and if your group has a box or polydron solid, count round that too.
This round is for talking it through together — the whole class predicts, you bring pupils up in turn, and the class agrees or corrects out loud.
Start with a rhombus on the board, have the class predict sides, vertices and lines of symmetry, then bring a pupil up to point and confirm. Rotate four or five pupils through.
Switch to a cuboid for the second half. As a pupil turns a real box or polydron cuboid and counts faces, edges and vertices, the rest of the class verifies the same count on their own solid if their group has one. Watch for pupils who lose track while rotating — encourage a system (count the top, then the bottom, then the sides).
In your maths copy, sketch a square on the left and a cube on the right. Beside the square, write its counts: sides, vertices, pairs of parallel sides, and lines of symmetry. Beside the cube, write its counts: faces, edges and vertices. Put them side by side so you can compare the 2D shape with the 3D shape at a glance.
Walk the room glancing at the labels and counts — this is whole-class copybook practice, not marking. Common slip: pupils write the cube's edges as 8 instead of 12; prompt them to count along the top, bottom and sides separately.
Today we sort a mix of shapes into groups. First we sort just the flat shapes by how many sides they have. Then we sort just the solids by how many faces they have. Next we group the flat shapes by how many lines of symmetry they have, and the solids by how many vertices they have.
One tricky one to finish: find ALL the 3D shapes that have twice as many edges as faces.
These are the practice questions — 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.
The first two rounds are the access tasks — everyone can sort flat shapes by sides, then solids by faces (the triangular prism and square pyramid each have five faces; the cube and cuboid each have six). Keeping sides and faces in separate rounds means nobody has to bucket two different counts under one rule.
The lines-of-symmetry round is harder: the scalene triangle has none, the rectangle has two (not four — a common error), the square has four.
For the stretch, expect more than one answer: the cube (12 edges, 6 faces) AND the cuboid (12 edges, 6 faces) both qualify, while the triangular prism (9 edges, 5 faces) and square pyramid (8 edges, 5 faces) do not. Let pupils reason each one out and check; revoice the correct reasoning and confirm that two shapes can both be right.
A square, a rhombus and a trapezium all have four sides. So which property tells them apart? And of our three 3D counts — faces, edges and vertices — which one is hard to apply to a sphere or a cylinder?
Listen for pupils naming the distinguishing 2D properties — parallel sides and lines of symmetry are what separate the four-sided shapes, since side-count alone does not. Revoice: 'so counting sides isn't enough — we have to look at the symmetry and the parallel pairs too'.
For the 3D part, draw out that a sphere has no flat faces, no edges and no vertices, and the cylinder's curved surface stretches the meaning of 'face' — which is why these shapes feel like rule-benders.
Next we take the solids apart and lay them flat. We will discover how a flat shape called a net folds up into a cube or a cuboid, with no gaps and no overlaps.
Keep this brief. Pupils now move to their Activity Book page for paper practice while you circulate.
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.