Examples of what pupils should know and be able to do
Compare ratios by changing them to the form m : 1 or 1 to m.
For example:
• The ratios of shots taken to goals scored by two hockey teams are
17 : 4 and 13 : 3 respectively. By changing each ratio to the form m
: 1, say which is the more accurate team.
Interpret and use ratio in a range of contexts.
- FTM(S)Y789 p. 79 - Acrobat pdf document (41Kb)
- FTM(S)Y789 p. 81 - Acrobat pdf document (37Kb)
- Ratio of ages test question - Rtf (rich text format) document (34Kb)
- Yoghurt test question - Rtf (rich text format) document (107Kb)
- Currency test question - Rtf (rich text format) document (36Kb)
Probing questions
Which are the key words in this problem?
How do these words help you to decide what to do?
What are the important numbers?
What are the important links that might help you solve the problem?
What if pupils find this a barrier?
Refer back to Step 8 and the unitary method and then make links to multiplicative
methods, i.e. instead of dividing by 5 and then multiplying by 7 you could
multiply by 7/5.
See the Year
9 proportional reasoning mini-pack - Acrobat pdf document (137Kb).
ITP Enlargements - Zip file (456Kb)