Mathematics
Intermediate
40 mins
Teacher/Student led
+80 XP
What you need:
IWB/Projector/Large Screen

Perimeter, the Distance Around a Shape

Discover what perimeter means by walking around shapes, adding up every side, and measuring real objects with a ruler to find the total distance around.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedImagine 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

    Have a think: what would you measure, and what would you do with the numbers you got?

    2 - Watch and Notice ~9 mins

    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.

    3 - Try It Together ~11 mins

    One pupil at a time comes to the board, picks a shape on the grid, then clicks each side in turn while the running total adds up. The rest of the class follows the total out loud and agrees the final answer.

    Key point

    Go right around the outside until you land back where you started.

    Click each side to add the perimeter

    4 - Draw and Add in Your Copy ~3 mins

    COPYBOOK MOMENT

    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.

    5 - Class Challenge ~8 mins

    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.

    • your copybook cover
    • a desk-name card
    • a playing card
    • a small square of card, about the size of a drinks coaster
    • a triangle from the shape tray
    Stretch

    Stretch: find the perimeter of your whole desktop in centimetres.

    Hands-on Task

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    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?

    7 - What's Next ~2 mins

    What we learned today

    • Perimeter is the whole distance around the outside of a flat shape.
    • We find it by adding the length of every side.
    • We touch each side once and only once, going right around the shape.
    • We can measure the perimeter of real flat objects with a ruler.
    Coming up

    Next we will find a smarter, quicker way to add the sides of rectangles and regular shapes, where some sides are equal.

    Pupil practice
    Module 5 · Area, Perimeter and Volume Measures
    Lesson 57 · Perimeter, the Distance Around a Shape
    Download Activity Book page (PDF)
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