I know that Mary Bourassa has some better techniques for long and synthetic division, but I didn’t have enough time this year to get comfortable with the techniques, so it’ll have to wait until next year (and these students have never seen the area model of factoring, but they have already seen long and synthetic division).

Anyway, it’s a short amount of time that we need to practice SD and LD, about one block total. Here are students helping each other out. When they get a remainder (hence function value) they let me know and I plot the points on Desmos so they could get the link between the remainder and the function value of the polynomial.
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October 13, 2015

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