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?
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.
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.
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.
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.
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?
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.
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