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
Find virtually all possible half-time scores for several final scores.
Probing questions
What did you do to find the information needed to solve the problem?
What were your initial thoughts on how to go about exploring this task/solving this problem?
What information did you need to gather?
How did you check your results/findings?
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.
- Are you sure that you have all of the different arrangements for four, five lines?
- How can you be sure?
- What different types of arrangement are there for five or six lines?
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