Look at the rectangle on the board, filled with square tiles. Every tile is the same size. Is there a gap anywhere? Is any tile sitting on top of another?
You already know how to find the distance around a shape. Today we are measuring something new: the flat space inside it.
Slide the tiles one at a time and hold out for the two rules: no gaps, no overlaps. Take two or three hands-up answers on "what are we measuring now that is different from the distance around?" — don't name "area" yet; let it come from the class.
Three patches of the grid, each filled with square tiles. Every square is exactly the same size, so counting the tiles tells you the area.
The second one is an L-shape. Count carefully round the bend.
The last one is the important one. Two triangle tiles sit beside one whole square. Each triangle covers half a square, so the two of them together cover the same space as the whole square: two halves count as one square unit.
End the beat by naming it: this is area, measured in square centimetres, written cm².
Your teacher outlines a shape on the grid. Click a square tile into every cell inside the outline, leaving no gaps and no overlaps.
Where the outline cuts straight across a square, use a triangle tile for that half. Two triangles count as one square unit, so pair them up as you count.
Then count the square units aloud and say the area in cm². The class checks that no square was missed or counted twice.
Outline a shape on the board over the grid, then hand over to one pupil to tile and count aloud. Rotate four pupils across the prompts, and keep the class checking the count rather than the tiling: "did we miss one? did anyone count a square twice?". The graded versions come next in the Class Challenge, so leave Check alone here.
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 — it can bend or step. When you are happy it covers 8 squares, write area = 8 cm² beside it.
Walk the room glancing for shapes that cover exactly eight squares — some will draw a rectangle, others an L or a staircase. No individual marking — this is whole-class copybook practice, not assessment. If a pupil counts nine or seven, ask them to recount round the outline rather than telling them the number.
Now we cover four real outlines with square tiles and count the units. We work up in order: a 2-by-3 patch, then a 4-by-4 patch, then an L-shaped patch of 9 squares, and last a staircase shape that includes two half-squares to join. If you finish early, try to make two different shapes that both have an area of 10 squares.
Class Challenge: pupils take turns at the board, tile each outline, and the class confirms before moving on. Keep the board work brisk rather than over-explaining.
Individual pupils tile each outline; the class predicts the count before the last tile lands. The staircase is the key one in the sequence — hold out for the two half-squares being joined into one whole (its area is a whole number, not a "and a half"). Fast finishers who are not at the board watch and mouth the next count; the 10-square open task is the stretch to name aloud. Groups with square tiles at their desks can verify each outline by hand.
Two shapes covered the same number of squares but looked completely different. Do they have the same area? How do you know?
Listen for pupils separating how it looks from how much space it covers. Revoice a strong answer: so if both cover eight squares, the area is the same even if one is long and thin and one is a square. Head off the idea that a longer-looking shape must have more area — point back to the counting.
Next we will spot that the squares sit in equal rows — so instead of counting one by one, we can multiply the rows by the columns.
Keep the recap to the three points. The forward hook to rows-by-columns links straight to the next lesson.
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