One nice question I shared with my students during our revision lesson.

One question on parametric equation I shared with my students during our revision lesson. Most of them knew how to sketch the graph using the GC but none of them understand that it is also important to know the orientation of the curve, i.e. how the x, y coordinate moves as t varies from – pi to pi.

Without this concept of orientation, they could not find the coordinates of point Q.

It is hence important to understand how parametric equations work rather than just memorising the procedure to get the final graph, which is lacking in various schools that my students come from.

Mastery through understanding takes time and it can be a painful process. However once you get it, it will stay with you.