Imagine a tiny ant standing at one corner of the picture frame at the front of the room. The ant decides to walk all the way around the very outside edge and stop back where it started. How could we work out exactly how far that little ant has travelled?
Have a think: what would you measure, and what would you do with the numbers you got?
Four shapes are on the grid, each with its sides already added up. See how we go right around the outside and count each side once. That total distance around the shape is called the perimeter.
Three shapes are on the grid. One pupil at a time comes to the board, points at a shape, and says each side out loud going right around the outside while the class adds them up together.
Say the total first. Then read the P beside the shape to check you agree with it.
When a shape is done, drag one of its corners to make it a different size and do it again, so the numbers keep changing.
Key point Go right around the outside until you land back where you started, and touch every side once and only once.
In your maths copy (or on the squared paper sheet), draw any four-sided shape. Write the length on each of the four sides. Then add all the sides together and write "perimeter = ___ cm" underneath your shape.
Today we measure real flat objects around the room with a ruler. For each object, measure every side, add them up, and find the perimeter in centimetres. Work right around so no side is missed. Measure as many as you can, starting with one.
Stretch: find the perimeter of your whole desktop in centimetres.
Look at these two rectangles. They look very different from each other. One is long and thin. The other is shorter and fatter. We will add every side of each shape and compare the totals.
Long thin rectangle: sides 9 cm, 1 cm, 9 cm, 1 cm. Add right around: 9 + 1 + 9 + 1 = 20 cm.
Shorter fatter rectangle: sides 6 cm, 4 cm, 6 cm, 4 cm. Add right around: 6 + 4 + 6 + 4 = 20 cm.
Both perimeters are 20 cm. Different-looking shapes can have the same perimeter. How could you check another pair for yourself?
Next we will find a smarter, quicker way to add the sides of rectangles and regular shapes, where some sides are equal.
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.