If one were trying to streamline the Algebra 2 curriculum, is there a good argument for retaining the rules of thumb by which we were all taught to graph rational functions by hand (finding asymptotes, holes, intercepts, all of that)? Or could we hand that over to graphing calculators and e.g. teach students a bit more probability theory?

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@ct_bergstrom Anyone have any examples of where hand graphing of rational functions is useful in the real world? This wasn't even taught way back when I was in school, yet I went on to study physics as an undergrad, ended up in a STEM career, read a lot of mathy papers/textbooks yet I can't recall a time where my lack of knowledge was a problem.

Probability theory is *so* much more valuable!

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