Look at the rectangle on the board. Only two sides have numbers: the top is 6 cm and one side is 3 cm. The other two sides are blank.
Have a think: what must the bottom side be? And the other side? How could you be so sure without measuring them?
Take three hands-up answers, not open call-outs. Hold out for why pupils are sure of the two blank sides, not just what the numbers are.
Watch four shapes on the board. For each rectangle, notice which two sides match, so we can fill in the sides that have no number before we add. The last one is an L-shape, so look carefully at how many sides it really has.
Work each shape live; the readouts are on because these are the worked examples.
A pupil takes a turn at the board while the rest of us work out the perimeter aloud first, then that pupil types in our answer. We fill in the sides we were not given, then add all four.
Our shapes:
Talk this one through together — pupils take turns at the board and the class agrees or corrects out loud. The perimeter stays hidden until we type in our answer, so we must work it out first.
In your maths copy, draw a 5 cm by 3 cm rectangle using your ruler. Write the length on all four sides, so both 5 cm sides and both 3 cm sides have a number. Then write the perimeter sentence underneath with its total, like this: 5 + 3 + 5 + 3 = ___ cm.
Walk the room glancing that all four sides carry a number, not just the two you drew first — this is whole-class copybook practice, not marking. Nudge anyone who only wrote two lengths to fill in the matching opposite pair.
Now we work these out on the board together, filling in any missing sides first. Draw each shape as we go so we can trace right around its edge.
Our shapes:
For the L-shape, the six sides going around are 5 cm, 2 cm, 3 cm, 4 cm, 2 cm and 2 cm.
Work out the perimeter of each shape. Fill in any missing sides first, then add every side once. For the L-shape, use the labelled figure drawn on the board.
For each rectangle, fill in the two missing opposite sides, then add all four. For the L-shape, use the labelled board figure: count and check every side, then add them one at a time.
Ways to start:
Stretch:
This is the practice round — 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.
If you know the long side and the short side of a rectangle, why do you not need to measure the other two sides at all?
Listen for pupils naming the two pairs of equal sides as the reason — the top always matches the bottom, and one end always matches the other. Revoice a strong answer: so two numbers really tell you all four. Head off the idea that this works for any shape: it holds for rectangles because opposite sides match, but not for the L-shape, where you did have to check every side.
Next time we look at two shapes that cover the same amount of space but have very different distances around, and we start to see that area and perimeter are not the same thing.
Keep this brief — a quick recap of the two-pairs-of-sides idea and a one-line look ahead to comparing area and perimeter.
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