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

Area by Counting Square Units

Learn to measure area by counting equal square units on a grid. Discover how to join half-squares, write answers in cm², and see that different shapes can have the same area.

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    1 - Getting Started ~4 mins

    Illustration for Getting StartedLook at the rectangle on the grid as the square tiles slide in one at a time to fill it. Watch closely: is there a gap or an overlap anywhere?

    Key point

    You already know how to measure the distance around a shape, all along its edge. Today we measure something different: how much flat space is inside it. What could we count to do that?

    2 - Watch and Notice ~9 mins

    3 by 4 rectangle

    Watch as the rectangle is covered with square tiles. We count every square, one by one. There are twelve squares, so the area is 12 square centimetres, written 12 cm².

    L-shape

    Now an L-shape is covered. The squares are still all the same size, and there are still no gaps. Count them carefully to find the area.

    Triangle with half-squares

    This triangle has a sloped edge that cuts straight across some squares, leaving half a square here and there. When a shape leaves only half a square, two matching halves join together to make one whole square unit. Watch how two halves become one.

    3 - Try It Together ~8 mins

    Today we explore together. When this outline appears on the grid, we count its square units aloud and then write area = ___ cm². We check that no square was missed and none was counted twice, then a few different pupils count it again to be sure.

    Count the square units

    4 - Draw an 8 Cm² Shape in Your Copy ~2 mins

    COPYBOOK MOMENT

    In your maths copy, on the squared page, draw any shape you like that covers exactly 8 whole squares. It does not have to be a rectangle. Then write area = 8 cm² beside it.

    5 - Class Challenge ~7 mins

    We cover and count a few outlines together, taking turns at the board and on our own squared paper:

    1. Cover a 2 by 3 patch and count the units.
    2. Cover an L-shaped patch of 9 squares and count.
    3. Cover a triangle with a sloped edge, joining two matching half-squares to make one whole.
    Stretch

    For the stretch: make two different shapes that both have an area of 10 squares.

    Hands-on Task

    6 - What Did We Notice? ~2 mins

    MATHS TALK

    Two shapes cover the same number of squares but look completely different. Do they have the same area? How do you know?

    7 - What's Next ~3 mins

    What we learned today

    • Area is the flat space inside a shape, found by counting equal square units.
    • Every square must be the same size, with no gaps and no overlaps.
    • Two matching half-squares join to make one whole square unit.
    • We write area in square centimetres, using cm².

    Coming up

    Coming up

    Next we look at rectangles more closely and find a quicker way to count their squares: rows times columns, which links straight back to the times tables.

    Pupil practice
    Module 5 · Area, Perimeter and Volume Measures
    Lesson 55 · Area by Counting Square Units
    Download Activity Book page (PDF)
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