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
Use a system that consistently produces all possible half-time scores.
Probing questions
What was the most important information that you needed to use?
How did you check your results/findings?
Do your results/findings seem reasonable?
How do you know?
What if pupils find this a barrier?
Line Crossings
- 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.
Use the problem Line Crossings.
Look at all of the diagrams with five (or six) lines:
- How could you organise your results so that they go from smallest to largest number of crossings?
- What patterns can you see?
- Do you think that there are any mistakes? (or explain why you think your results are correct)
- What happens when more than two lines cross at the same point?
How many crossings are there here, one, three or six? Explain.
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