Took assessment on derivative rules and turned in AP multiple choice packets.
Homework
Watch and take notes on this video (made by me!) direct link
Passed back assessments and looked at peer experts' work to help correct work during DS. Looked at another example of finding vertical and horizontal tangents algebraically. Then introduced concept of linearization/linear approximation, which utilizes the fact that differentiable functions are "locally linear" when you zoom in enough. This means that near the point of tangency, the tangent line is a good approximation for the actual function. This allows a person to estimate values that are otherwise very difficult to calculate, like sqrt(8) or (5.05)^10 or what have you.
Notes from board
homework:
complete this handout [D-AD18] LINK [numerical answers on the bottom of the back]
Resources
basic premise of linear approximation (kind of like example from class) link link 2
Warm up involved writing the equation of a tangent line, this time a vertical-line equation at the point where a given function had a vertical tangent. Briefly went over linear approximation homework, then did a trig example of linear approximation and then started playing the tangent line game, matching functions, their derivatives, and the equations of lines tangent to the functions at particular points. Will continue this game Monday.
Notes from board
Homework
Bingo handout: get 2 bingos and do #2-28 (even) [D-AD2b]
(blank copy)