I had great success with more challenging test items last year. Questions in which I wanted students to verify an assumption, to see if they were really buying what I was selling. I tried it with Rationals and Trig Functions.

I still love these questions. Some samples from this year:

It's one thing if you can go through the mechanics of identifying asymptotes, it's another thing entirely if you can validate a claim, even a simple one like this.

AuthorJonathan Claydon