Area of 2D and 3D Shapes

Scheme of work: Key Stage 3: Year 8: Term 2: Area of 2D and 3D Shapes

Prerequisite Knowledge

  • Derive and apply formulae to calculate and solve problems involving: the perimeter and area of triangles, parallelograms, trapezia, the volume of cuboids (including cubes) and other prisms
  • Calculate and solve problems involving: perimeters of 2-D shapes and composite shapes.

Key Concepts

  • The area of a triangle is the product of its perpendicular height and base divided by two.  Students often forget to divide by two.
  • To find the area of a composite shapes students should break it down into its individual components.
  • When identifying individual components of a composite shape students tend to look for triangles and rectangles rather than trapezia and parallelograms.
  • To find the surface of a cube or cuboid students could draw the net and work out the composite area.
  • More able students could derive the formula for the surface are of a cuboid.

Working Mathematically

  • Develop fluency
    • Use language and properties precisely to analyse 2-D and 3-D shapes
  • Reason mathematically
    • Begin to reason deductively in geometry,
  • Solve problems
    • Select appropriate concepts, methods and techniques to apply to unfamiliar and non-routine problems.

Subject Content

  • Shape
    • Derive and apply formulae to calculate and solve problems involving: the perimeter and area of triangles, parallelograms, trapezia, the volume of cuboids (including cubes) and other prisms.
    • Calculate and solve problems involving: perimeters of 2-D shapes and composite shapes.

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