A three-page Year 4 area sheet. Page 1 has four boxes headed Area = 6, 10, 12 and 15 squares, each with a grid, and pupils draw two different rectilinear shapes in every box. Page 2 asks for the perimeter of the two shapes with an area of 12 and whether the perimeters match. Page 3 gives sample answers, such as 3 by 4 and 2 by 6 rectangles for an area of 12. It follows England National Curriculum Year 4 measurement.
Measurement
“find the area of rectilinear shapes by counting squares”
Pupils draw shapes of 6, 10, 12 and 15 squares, so they count squares for every shape.
Measurement
“measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres”
Questions 1 and 2 on page 2 ask for the perimeter of the two shapes with an area of 12.
Four boxes, each holding a square grid. Pupils draw two different shapes for areas of 6, 10, 12 and 15 squares, where each small square is 1 cm squared.
Two boxes for the perimeter of each area-12 shape, then a yes or no tick box and four lines to say what they notice.
Sample pairs for each area, perimeters of 14 cm and 16 cm for the 3 by 4 and 2 by 6 rectangles, and a note that either tick is right if it matches the pupil's shapes.
Swap and count
Ask pupils to swap sheets and count the squares in each other's shapes. Any shape that is one square out gets redrawn.
Beyond rectangles
Push confident pupils to try an L-shape for an area of 12. Its perimeter is different again, and question 3 becomes a better talking point.
Perimeter board
Collect the perimeters of the area-12 shapes on the board. Pupils see that one area can give 14 cm, 16 cm or 26 cm.
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