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 produce some half-time scores.
Probing questions
What was the problem that you were trying to solve? What did you try first?
What difficulties did you have? Did you make any changes or do anything differently as a result of these difficulties?
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.
- If you draw another diagram with four lines do you get the same number of crossings?
- Can you explain?
- What different types of diagram can you draw with four lines?
- How did you count the line crossings?
- Tell me why they are different.
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