Two out-of-curriculum graphing inequalities challenges
For Algebra II/Trig I decided that I would emphasize the relationships between graphs and equations throughout.
Even though there is no unit, today, as we are just starting some basic trig, the classes are taking a “graphing” quiz in which I ask them a few questions about fitting some curves to points, about graphing, and about transforming an arbitrary graph. (“Here’s the picture that goes with f(x). Sketch the picture that goes with f(2x).” That sort of thing)
Yesterday I did some prep for that. But I started them off with two problems that they found highly challenging. Great discussions. Good buzz. See what you think:
1. Sketch xy ≥ 0
None of the kids had ever worked on a problem like either of these, and there were a ton of places to slip up. See if you can anticipate some. But the discussion was rich, and many seemed to have a sense of accomplishment afterwards.