I'm also a stickler, when we move on to integration for including the "dx" or whatever variable it is every time. This also helps with teaching separable differential equations in the second semester of Calc AB. The language is a bit more cumbersome on the front end of things, but being precise does help students in the long run, especially when the functions do not use x and y but some other variables.

]]>Do you do anything when you are initially teaching differentiation of explicit functions to help combat this issue? I feel that somehow I could teach things better before and not end up having them mystified as to why they have to do the chain rule in implicit differentiation.

]]>"Ask Ss to show how (x^1 + x^2 + ... + x^6)^2 gives the counts for 2-dice sums"

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