Step 9 Objective
Represent problems and synthesise information in algebraic, geometric or graphical form; move from one form of presentation to another to gain a different perspective on the problem/task.
- Examples of what pupils should
know and be able to do - Probing questions
- What if pupils find
this a barrier?
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 your table of results:
- Can you explain a rule for finding the number of intersections for any number of lines?
- How would you write this down?