# Upper And Lower Bounds

This lesson is designed for PRECALCULUS students in the unit on POLYNOMIAL, POWER, and RATIONAL FUNCTIONS. The file includes an 8-page Bound-Book Dinah Zike Foldable*, used with permission, a Smart Notebook 11 Lesson Presentation, directions for making the Foldable*, and a completed answer key. Students will divide polynomials using long division, synthetic division,apply the Remainder Theorem, Factor Theorem, and Rational Zeros Theorem; and find upper and lower bounds for zeros of…

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AB or BC. Polynomials. I used this to introduce this to my AB AP Calculus students while I was out for the birth of my second child (first daughter!). It introduces the FTC as difference of the evaluations of the general antiderivative at the upper and lower bounds and also includes a connection to simple bounded area.

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Number 6. Just follow these steps to find the integral by itself without the upper and lower bounds of 1 and 9. Then, once you evaluate the integral, you plug in your 1 and 9 to get your final answer. (p.s. your numbers may be different, but the concept is still the same). On another note, after plugging in my numbers, I got positive 60 as my final answer. This is to check to see if you're on the right track.