One of the topics requested by my current Year 13 Further Mathematicians in their revision lessons has been the geometric interpretation of the solution of simultaneous equations.
I hadn’t taught this at A-Level until the new specification so it was interesting to teach. I would always have done this using augmented matrices, performing row operations and then looking at the difference in rank between the matrix and the augmented matrix so the approach at A-Level was new to me.
The idea of the activity is to sort the 12 given situations into the five geometric possibilities.
File for use available here.