Perimeter and Area

Scheme of work: GCSE Foundation: Year 9: Term 4: Perimeter and Area

Prerequisite Knowledge

  • Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate
  • unit, using rulers, scales, thermometers and measuring vessels
  • compare and order lengths, mass, volume/capacity and record the results using >, < and =
  • measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

Success Criteria

  • know and apply formulae to calculate:
  • rectangles
  • rectilinear composite shapes
  • area of triangles
  • parallelograms
  • trapezia
  • calculate the perimeters of 2D shapes, including composite shapes;

Key Concepts

  • Perimeter is a measure of length around the outside of a shape, whereas area is the space on a surface.
  • Students should be given the opportunity to derive formulae to calculate the area and perimeter of shapes.
  • Area is measured in square units.
  • Demonstrate a triangle as being half a rectangle so students know to use the perpendicular height in their calculation.
  • Demonstrate a parallelogram as having an equal area to a rectangle.
  • To calculate the area of composite rectilinear shapes have students break them up in different ways.

Common Misconceptions

  • Students often confuse area and perimeter.
  • Students can forget to include correct units when stating an area or perimeter.
  • When calculating the area of a triangle or parallelogram students tend to use the slanted height rather than the correct perpendicular height.

Perimeter and Area Resources

Mr Mathematics Blog

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