Last week we started work on composite functions. Using different representations was a very effective way to scaffold the idea of having the output of one function be the input of another function. Instead of students getting lost in algebra, using table and graph representations first let them clarify what was actually going on. Then, I added in the equation representation, and most students were able to figure out what to do before I even explained it. On Monday, we will continue with composite functions, where the goal is not to evaluate something like f(g(2)) but to simplify something like f(g(x)) when equations are given for f and g.
Lesson 3 (Composite Functions) - Part 1
Lesson 3 Keynote
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Lesson 4 (Composite Functions) - Part 2
Lesson 4 Keynote
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