Area of 2D Shapes

Scheme of work: GCSE Higher: Year 9: Term 1: Area of 2D Shapes

Prerequisite Knowledge

  • Know and apply formulae to calculate the area of rectangles.
  • Calculate the perimeters of 2D shapes, including composite shapes;
  • 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)
  • Identify and apply circle definitions and properties, including: centre, radius, chord, diameter, circumference, tangent, arc, sector and segment

Success Criteria

  • Know and apply formulae to calculate: the area of triangles, parallelograms and trapezia;
  • Know the formulae: circumference of a circle = 2πr = πd, area of a circle = πr2; calculate: perimeters of 2D shapes, including circles; areas of circles and composite shapes;
  • Calculate arc lengths, angles and areas of sectors of circles

Key Concepts

  • 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.
  • A sector is a fraction of 360° of the entire circle.

Common Misconceptions

  • Students often confuse area and perimeter.
  • When calculating the area of a triangle or parallelogram students tend to use the slanted height rather than the correct perpendicular height.
  • Arc length and area of a sector are often rounded incorrectly. Encourage students to evaluate as a multiple of pi and calculate the decimal at the end.

Area of 2D Shapes Resources

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