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

Perimeter: the Distance All the Way Around

Explore what perimeter means by tracing around shapes, adding up every side length, and measuring real objects with string and a ruler.

Teacher Class Feed

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedWatch as I trace my finger right around the edge of this book and back to where I started. Imagine a tiny ant walking that same path, all the way around the edge and back to the corner it began at. How could we work out how far the ant travelled?

    2 - Watch and Notice ~8 mins

    Three shapes on the board, one at a time. Watch as each side is touched and its length is added on. Keep track of the running total as we go.

    3 - Try It Together ~9 mins

    Let's try one together. I will call one of you up to the board to touch each side of the shape in turn. The rest of the class has the important job: as each side is touched, read its length aloud and keep our running total going, so together we find the distance all the way around.

    Add the sides to find the perimeter

    4 - Sketch the Shapes in Your Copy ~3 mins

    COPYBOOK MOMENT

    Look at your printed Shapes to Copy sheet. In your maths copy, copy the triangle and the square from the sheet. Write the length on every side, then write the addition sentence underneath each shape and work out its total.

    5 - Class Challenge ~9 mins

    Now take a card and a piece of string and find the real distance around it. Lay the string carefully around the edge of the card, mark where it meets the start, then straighten the string against your ruler to read off the perimeter.

    Tip

    For the last task, you will compare two cards. Don't measure the second one fully — instead, take the string you laid around the first card and hold it around the edge of the second card. If it reaches all the way round with string to spare, the second card is shorter; if it runs out before it gets back to the start, the second card is longer. Predict first, then check by measuring.

    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? What would happen to our total if we forgot a side, or counted one twice?

    7 - What's Next ~2 mins

    Today you learned

    • Perimeter is the distance all the way around the edge of a shape.
    • You find it by adding every side once, and counting each side only once.
    • You can measure a real perimeter by laying string around the edge and reading it against a ruler.
    • When a shape has equal side lengths, you can fill in any missing labels and then add every side once.

    Here is one last example together. A rectangle on the board has only two sides labelled: a long side 5 cm and a short side 3 cm. Spot the equal pairs, write the two missing lengths, then add all four sides to get the perimeter.

    Coming up

    Next we practise more rectangle perimeters, using equal pairs so that two labels are enough to finish the whole sum.

    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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