Perimeter, Area, Volume

Students learn how to find the perimeter and area of rectangles, triangles and other compound shapes.  They later apply this knowledge to find the volume of cuboids and prisms.  This topic takes place in Year 7 Term 3 and is prerequiste knowledge for Area of 2D and 3D shapes.


Perimeter, Area, Volume Lessons
Problem Solving Lessons
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.

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