Step 4 Objective
Develop strategies for solving problems and use these strategies both in working within mathematics and in applying mathematics to practical contexts.
- An example of what pupils should
know and be able to do - Probing questions
- What if pupils find
this a barrier?
Examples of what pupils should know and be able to do
Final Score investigation
The final score in a football game was 2-1
- List possible half-time scores.
- How many are there?
- Investigate other final score.
An example drawn from Final Score
Produce some (but not necessarily all) possible half-time scores for a
final score of 2-1 and at least one other final score.
Final score 2-1:
(There are 6 possible half-time scores)
1-0, 0-0, 2-0, 1-1, 2-1, 0-1.
Final score 5-3:
(There are 24 possible half-time scores)
4-2, 1-0, 2-2, 1-1, 0-0, 3-3,
4-1, 4-3, 5-1, 5-2, 5-3, 2-3,
1-2, 1-3, 0-1, 0-2, 0-3.
Final score 3-3:
(There are 16 possible half-time scores)
0-0, 0-1, 0-2, 0-3, 1-1, 1-2, 1-3,
2-1, 2-2, 2-3, 3-1, 3-2, 3-3.