Step 6 Objective
Show understanding of situations by describing them mathematically, making correct use of symbols, words, diagrams, tables and graphs.
- 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.
You have drawn a lot of diagrams.
- Can you show the results for different numbers of lines together?
- What information would you put into a table of results? Can you draw this table?