Mathematics
Advanced
50 mins
Teacher/Student led
+65 XP
What you need:
IWB/Projector/Large Screen
Cubes

Area, Perimeter and Volume Review

Distinguish between perimeter, area and volume by identifying the right method for each real-life maths question. Practise choosing the correct approach by examining shapes and 3D solids.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at the picture. There is a rectangle with its sides labelled, and beside it a little stack of building cubes.

    For the rectangle we could ask: how far is it all the way around? Or we could ask: how many squares fit inside it? Those are two different questions about the same shape. And for the cubes there is a third question: how many cubes are stacked here?

    2 - Watch and Notice ~9 mins

    Look at each shape in turn. For each one, be ready to say whether we should count around, count inside, or count cubes.

    First a 5 by 3 rectangle we measure two ways. Then a 4 by 4 square where around and inside give the same number. Then an L-shape built from two rectangles, a 4 by 2 and a 2 by 2, where we count the squares inside. Then a small cube stack.

    3 - Try It Together ~11 mins

    Key point

    Today we work through some shapes together on the board, deciding each time what the question is asking — around, inside or cubes?

    • A 6 cm by 2 cm rectangle — is it around, inside or cubes?
    • A 3 cm by 3 cm square, worked for both its perimeter and its area.
    • A small cube stack — how many cubes fill it?

    Shape Measurer

    4 - Draw and Label in Your Copy ~3 mins

    COPYBOOK MOMENT

    In your maths copy, draw one 4 cm by 2 cm rectangle. On the line under it write its perimeter, and label it perimeter. On the next line write its area, and label it area.

    5 - Class Challenge ~8 mins

    Key point

    Today we solve five building jobs. Decide each time, around, inside or cubes?

    • A rectangular sign 3 m by 2 m needs edging tape all the way round, how much tape?
    • A garden patch is 4 squares by 3 squares, one slab on each square, how many slabs?
    • The first play mat is 2 by 5, how many squares does it cover?
    • The second play mat is 3 by 3, how many squares does it cover and which covers more?
    • A box holds 4 cubes on the bottom and 4 on top, how many cubes fill it?

    Around, inside or cubes?

    Pupil practice
    Module 5 · Area, Perimeter and Volume Measures
    Lesson 59 · Area, Perimeter and Volume Review
    Download Activity Book page (PDF)
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