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 6 half-time scores, working independently and structuring their work.
Probing questions
What did you see as the main steps in solving this problem/working on this task?
How did you go about organising your approach? Did you need to make any changes to your planned approach?
Select from questions below as appropriate to context:
- How did your use of algebra help?
- How did your use of graphs/tables help?
- Why did you use these techniques for calculation? Are there other ways? Are these more efficient?
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 the number of crossings for three, four, five, six lines:
- Which results are the best ones to compare? (Greatest number of crossings)
- What is the best way to show this information, to compare the number of crossings?
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