• Given the coordinates of points A and B, find the mid-point of the line segment AB.
  • Know rough metric equivalents of imperial measures in daily use (feet, miles, pounds, pints, gallons).
  • Deduce and use formulae for the area of a triangle, parallelogram and trapezium; calculate areas of compound shapes made from rectangles and triangles.
  • Know and use the formula for the volume of a cuboid; calculate volumes and surface areas of cuboids and shapes made from cuboids.


  • Use units of measurement to calculate, estimate, measure and solve problems in a variety of contexts; convert between area measures (mm2 to cm2, cm2 to m2, and vice versa) and between volume measures (mm3 to cm3, cm3 to m3, and vice versa).
  • Know and use the formulae for the circumference and area of a circle.
  • Calculate the surface area and volume of right prisms.


  • Find points that divide a line in a given ratio, using the properties of similar triangles; given the coordinates of points A and B, calculate the length of AB.
  • Recognise that measurements given to the nearest whole unit may be inaccurate by up to one half of the unit in either direction.
  • Understand and use measures of speed (and other compound measures such as density or pressure) to solve problems; solve problems involving constant or average rates of change.
  • Know and use the formulae for length of arcs and area of sectors of circles.
  • Calculate lengths, areas and volumes in right prisms, including cylinders.

Key Vocabulary:

  • Measuring - (estimate, area, volume, surface area, cross-section, metric equivalent, imperial equivalent);
  • 3-D shapes - (prism, right prism, cylinder, triangular prism, hexagonal-based prism, … cuboid);
  • Units - (names & abbreviations for: mm, cm, m, km; mm², cm², m², km²; mm³, cm³, m³, km³; tonne, hectare, oz, lb, ft, pt, gallon, mile).

Suggested Lesson Outcomes:



Teaching & Learning Resources:

3D Shapes Resources
Co-ordinates Resources
Reading Scales Resources
Metric Measures Resources
Imperial Measures Resources
Mulitpliers Resources
Circles Resources
Area Resources
Volume Resources