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1. Year 8: Area, Perimeter and Volume: Journey of Knowledge
Context and Introduction to Unit
In this unit pupils will learn about how to calculate the area and perimeter of a given shapes (stating the correct units).
Pupils will make links to work completed on 2-D shapes and how this relates to 3-D shapes in terms of finding the surface
area and volume.
Prior knowledge (KS2 NC)
Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres. Calculate and compare
the area of rectangles (including squares). Estimate volume (for example, using blocks to build cuboids (including cubes)).
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. Calculate the area of parallelograms and triangles.
CORE KNOWLEDGE
Perimeter is the distance measured around the outside of a shape and area is the amount of space
measured inside the shape. (Perimeter of rectangles, triangles, parallelograms, trapezium; Area of
rectangle, triangle, trapezium, parallelogram.)
Formula needed:
Triangle = ½ base x height
Trapezium = ½ (a + b) h
Parallelogram = base x perpendicular height
Link this knowledge to calculating surface area of prisms by recognising faces such as rectangles and
triangles.
Introduction to volume by counting cubes inside a given shape and then link this to the formulae needed
for cube and cuboid.
Formula needed:
Volume of prism = area of cross section x length
Solve problems in everyday contexts involving measures
Convert between different measures for area, volume and capacity
Use tonnes and hectares
ABOVE AND BEYOND
Perimeter and area of compound shapes
Find missing side lengths from given perimeter or area
Write expressions for perimeter and area
Convert between different units for surface area and
volume
VOCABULARY
Triangle
Rectangle
Area
Perimeter (etymology)
Formula
Length
Width
Prism
Compound
Measurement
Cuboid
Volume
Vertices
Edge
Face
Units
Conversion (etymology)
Assessment
WOW Zone Task:
Volume Problem (e.g. How many
of a smaller item can fit inside a
bigger item)
End of Unit assessment
WHERE NEXT?
The basic shape knowledge will be
built on as we learn about Cones,
Cylinders and Spheres
Properties of the shapes learned in
Year 8 will also apply to the topic
of Similar Shapes
The bigger picture:
Career links – Builder, Architect, Interior
Designer
Mathematician – Archimedes.

2. Year 8 - Area, Perimeter and Volume : Assessment Plan
MAPs – Pupils will complete WOW zone tasks in lessons as well as end of topic tests. This scores will be recorded and used to contribute towards grades which
are reported home.
Summative assessment – The knowledge from this unit will be tested as part of a 1 hour P2S exam which will be based on a combination of units covered in the
assessment window.
Assessment Milestones
Emerging Developing Securing Mastering
Pupils have basic knowledge
that perimeter is the distance
measured around the outside
of a shape and area is the
amount of space measured
inside the shape.
Pupils must be have an
understanding of and be able to
recall the basics of :
Introduction to area by counting
squares inside a given shape and
then link this to the formulae needed
for different types of shapes.
Introduction to volume by counting
cubes inside a given shape and then
link this to the formulae needed for
cube and cuboid.
Pupils must be able to recall the
following content:
Pupils will be able to use different types
of formula to find the area of a shape
Formula needed:
Rectangle = Length x width
Triangle = ½ base x height
Parallelogram = base x perpendicular
height
Calculate the volume of cubes and
cuboids
Sketch nets of 3D solids
Pupils should be able to recall all the content in the knowledge journey and
demonstrate application/extend through the following:
Calculate the area of compound shapes made from rectangles and triangles
Derive and use the formula for the area of a parallelogram
Calculate the area of a trapezium and recall the formula
Trapezium = ½ (a + b) h
Calculate the volume of 3D solids made from cuboids
Draw 3D solids on isometric paper
Draw plans and elevations of 3D solids
Calculate the surface area of cubes and cuboids