Year 4 area problems set in real places, over three pages. Task 1 shows floor plans of a bedroom, an L-shaped kitchen and a hall, where each square is 1 m by 1 m and counts as one carpet tile. Pupils count the tiles for each room. Task 2 draws three garden beds on grids. Pupils find each area, then pick the bed with the most planting space and the bed that needs the most fence. The key gives areas and perimeters. It follows England National Curriculum measurement.
Measurement
“find the area of rectilinear shapes by counting squares”
Questions 1 to 3 on page 1 and the area counts on page 2 all use 1 m squares, up to 12 for the bedroom and 11 for Bed C.
Measurement
“measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres”
Question 3 on page 2 asks which bed needs the most fence, so pupils compare the distance round Beds A, B and C. The key gives 14 m, 12 m and 18 m.
Three floor plans: a rectangular bedroom, an L-shaped kitchen and a long thin hall. Pupils write how many square tiles cover each floor.
Bed A is a 5 by 2 rectangle, Bed B a 3 by 3 square and Bed C an L shape. Pupils count each area in m², then choose the bed with the most space and the bed with the most fence.
Tile counts of 12, 10 and 6, bed areas of 10, 9 and 11 m², and perimeters of 14 m, 12 m and 18 m.
Floor plan in the classroom
Mark out a 4 by 3 floor with tape and let pupils lay 12 squares of paper as tiles. Then they do page 1.
Area against perimeter
Bed C wins on both area and fence here. Ask pupils to draw a new bed with the same area as Bed A but a different fence length.
Extra support
Pupils who find counting hard can shade each row of tiles in a different colour on page 1 before they add.
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