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

Perimeter: the Distance All the Way Around

Learn what perimeter means and how to find the total distance all the way around a shape by adding every side once. Work with shapes on the board, measure real objects using string and rulers, and discover why we must count each side exactly once.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedImagine a tiny ant standing at one corner of your maths book. It sets off along the edge, all the way around, until it gets back to the very corner it started from.

    Hands up: how could we work out how far that ant walked on its whole trip around the edge?

    2 - Watch and Notice ~9 mins

    The distance all the way around the edge of a shape has a name: the perimeter. To find it, we touch each side once and add the lengths together.

    Watch four shapes with the length written on every side. For each one, we touch each side in turn, add as we go, and land on the total distance around.

    The last one has a step in it, so it has more sides than a rectangle. Get ready to say how many sides we must add.

    3 - Try It Together ~11 mins

    Today we work through four shapes together on the board: a triangle with sides 3 cm, 5 cm and 4 cm, a square with each side 5 cm, a 6 cm by 2 cm rectangle, and an L-shape. For each one, we trace every side as we count the lengths aloud, add them up, then type the perimeter and tap Check.

    Add the sides: find the perimeter

    4 - Write the Perimeter in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, copy the triangle and the square from the board. Write the length on every side. Then write the addition sentence and its total underneath each shape.

    5 - Class Challenge ~12 mins

    Now we measure real shapes for ourselves. In your groups you have a 4 cm by 6 cm card and a piece of string. Lay the string right around the edge of the card, mark where it meets, then straighten the string against your ruler to read the distance around.

    Work through these in order:

    • Find the perimeter of the 4 cm by 6 cm card.
    • Find the perimeter of your own maths copy, to the nearest centimetre.
    • Find the perimeter of the triangle card your teacher hands out.
    • You have two cards. Without measuring the second one fully, decide which has the longer way around — then check.

    Hands-on Task

    6 - What Did We Notice? ~3 mins

    MATHS TALK

    Why must we add every side to find the perimeter — and why do we count each side only once?

    7 - What's Next ~2 mins

    Today you learned

    • The perimeter is the distance all the way around the edge of a shape.
    • To find it, touch each side once and add the lengths together.
    • Never skip a side and never count a side twice.

    Coming up

    Next time we look more closely at rectangles, where the two long sides match and the two short sides match — so once you know two sides, you already know the other two.

    Pupil practice
    Module 5 · Area, Perimeter and Volume Measures
    Lesson 53 · Perimeter: the Distance All the Way Around
    Download Activity Book page (PDF)
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