- Try different approaches to solve a problem
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.
Examples drawn from 'Final score'
Pupils list some possible half-time scores if the final score is 1-1.
- How did you decide what to do?
- How did you go about exploring/solving this problem?
- Could you solve this problem in a different way? How?
What if pupils find this a barrier?
Use 'Line crossings investigation'
- What happens if you used four (or five) lines instead of the three?
- How did you count the line crossings?
Line crossings investigation
- Draw three straight lines (line segments) so that some cross over each other.
- How many crossings are there?
- Try different arrangements of the lines. What is the maximum number of possible crossings?
- Try using more lines.
- Is there a rule for the maximum for any number of lines? If so, write it down.