As I've written about repeatedly, I have a tendency to get distracted by something interesting in class and go WAY off topic. Sometimes this is a valuable learning experience and sometimes I use the excuse that I'm building a space where students want to be.
Today I was much more deliberate about staying on topic as we were taking notes. I was deliberate about deriving the distance formula from the Pythagorean Theorem. I deliberately chose specific examples to build up to linear inequalities.
As someone who teaches in a much more informal style, this was difficult for me. I enjoyed it, but I finished the day having accomplished almost none of the other things I wanted to do and I was completely exhausted.
"Justin, aren't teachers SUPPOSED to plan out their lessons in great detail?" you ask.
"That's an excellent point, but I think there's something you're forgetting."
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