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

Planes of Symmetry in 3D Shapes

Planes of Symmetry in 3D Shapes for Key Stage 3/GCSE students.

Use isometric paper for hands-on learning and enhanced understanding.

GCSE Trigonometry Skills & SOH CAH TOA Techniques

Master GCSE Math: Get key SOH-CAH-TOA tips, solve triangles accurately, and tackle area tasks. Ideal for students targeting grades 4-5.

Regions in the Complex Plane

Explore Regions in the Complex Plane with A-Level Further Maths: inequalities, Argand diagrams, and geometric interpretations.