Proportional Reasoning

Proportion: comparing quantities

Proportions are everywhere in maths, science, commerce and many other areas of life. For example you need to reason with proportions to operate successfully in:

  • fractions, decimals and percentages
  • scale drawings and maps
  • probability
  • drawing timelines
  • interpreting and comparing rates such as speed, density and unit price.

What do you know about proportions?

Try these questions:

Between 2003 and 2006 two trees, Tree A and Tree B, grew 3 metres. Which tree grew the most as a proportion of its original height?
2003 2006
Tree A 2 metres 5 metres
Tree B 3 metres 6 metres