Perimeter, Area, Volume

Scheme of work: Key Stage 3: Year 7: Term 3: Perimeter Area and Volume

Prerequisite Knowledge

  • measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
  • calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes
  • estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]
  • recognise that shapes with the same areas can have different perimeters and vice versa
  • recognise when it is possible to use formulae for area and volume of shapes

Key Concepts

  • The perimeter of a shape is the distance around the outside.  It is measured in units such as centimetres, millimetres, inches, feet, and metres.
  • The area of a shape is a measure of how much space there is on the surface.  Area is measured in square units, written for example as cm2.
  • To find the area of a composite shape it is easier to split the shapes into distinct rectangles and find the sum of each area.
  • The area of a triangle can be found as half the area of a rectangle.
  • The volume of a shape is the space contained inside it.  Volume is measured in cube units, written for example as cm3.

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

Perimeter, Area, Volume Resources

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