Skip to content
Teachers
Go to pupils

Perimeter, area and volume

Perimeter, area and volume

Previous unit
Next unit
View all units
Downloads can take a few minutes, especially for larger files or slower connections.
Skip to lessons

Threads

Why this why now

This unit is an extension of the perimeter and area unit in year 7 (which focused on polygons), and extends this knowledge to focus on circles and circle based composite shapes then extending to look at the concept of prisms and volume.

Prior knowledge requirements

  • Use standard formulas for rectangles and cuboids
  • Convert between units of measure
  • Calculate dimensions of composite shapes

Threads

Learn how you can make the best use of Oak resources

A step-by-step guide to getting started

Get more out of Oak

Why this why now

This unit is an extension of the perimeter and area unit in year 7 (which focused on polygons), and extends this knowledge to focus on circles and circle based composite shapes then extending to look at the concept of prisms and volume.

Prior knowledge requirements

  • Use standard formulas for rectangles and cuboids
  • Convert between units of measure
  • Calculate dimensions of composite shapes

Perimeter, area and volume

In this unit pupils extend their knowledge of shapes by exploring the properties of circles and composite shapes before developing understanding of 3-D shapes including surface area and volume.

16 lessons in unit

  1. 1

    Checking understanding of perimeter

    I can find the perimeter of many polygons or compound shapes.
  2. 2

    Checking understanding of area

    I can find the area of triangles, quadrilaterals and composite rectilinear shapes.
  3. 3

    Multiplicative relationships in circles

    I can recognise that there is a constant multiplicative relationship (π) between the diameter and circumference of a circle.
  4. 4

    Circumference of a circle

    I can use the relationship C=πd to calculate unknown lengths in contexts involving the circumference of circles.
  5. 5

    Area of a circle

    I can understand the derivation of the area of a circle.
  6. 6

    Using the formula for the area of a circle

    I can use the formula for the area of a circle to calculate either the area or a missing measurement.
  7. 7

    Area of composite shapes

    I can solve area problems of composite shapes involving whole and/or part circles.
  8. 8

    Perimeter of composite shapes

    I can solve perimeter problems of composite shapes involving whole and/or part circles.
  9. 9

    Finding a length in composite shapes

    I can solve area problems of composite shapes involving whole and/or part circles where the area is known and the radius or diameter must be found.
  10. 10

    Surface area of cuboids

    I can appreciate the concept of surface area and find the surface area of cuboids.
  11. 11

    Properties of prisms

    I can appreciate that all prisms have two congruent polygonal parallel faces (bases) with parallelogram faces joining the corresponding vertices of the bases.
  12. 12

    Surface area of prisms

    I can find the surface area of 3D shapes in an efficient way.
  13. 13

    Surface area of cylinders

    I can find the surface area of cylinders.
  14. 14

    Volume of prisms

    I can use the constant cross-sectional area property of prisms to determine their volume.
  15. 15

    Volume of cylinders

    I can use the constant cross-sectional area property of cylinders to determine their volume.
  16. 16

    Problem solving with perimeter, area and volume

    I can use my knowledge of perimeter, area and volume to solve problems.

Learn how you can make the best use of Oak resources

A step-by-step guide to getting started

Get more out of Oak