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
As in Step 2 but with a range of approaches evident.
Probing questions
Which different methods did you use?
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.
- In this diagram you have three (or four or ...) lines - how many crossings are there?
- If you add another line to the diagram how many crossings will there be now? Will it be more, the same or fewer?
- Explain why you think so?
- Draw another line. What do you notice?
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