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.

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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

    Triangle: 3 cm + 4 cm + 5 cm

    Watch this triangle on the board. I will touch each side in turn and we will add the lengths together as we go.

    Square: 4 cm + 4 cm + 4 cm + 4 cm

    Every side of this square is the same: 4 cm. Watch me touch each one and we add them up.

    Rectangle: 5 cm + 3 cm + 5 cm + 3 cm

    A rectangle has a long pair and a short pair. I touch every side once as we add them all together.

    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: read each side-length aloud as it is touched and keep our running total going so 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.

    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.

    Coming up

    Next we look at the perimeter of rectangles, where two pairs of sides are equal, 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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