AP Calculus Name:______

Project- AP Exam Review

100 Pt Test Date:______

DUE:______

You will be assigned (randomly) one of the thirteen topics listed below. Your job is to prepare a review sheet for the topic. The format is two pages: one page for notes and explanations; the other is for a fully worked example. This needs to be typed and submitted to me digitally. These sheets will be distributed to the class and will be relied upon HEAVILY in review for the AP Exam!

Topics:

1. Modeling data- correlation and regression

2. The definition of the derivative: proving derivative rules

3. The derivative rules, with supporting text and examples

4. Explain the product rule and quotient rule for derivatives

5. Explain the chain rule for derivatives

6. Interpretation of geometric approximation of the integral (left/right endpoints, midpoints, & trapezoids)

7. Explain the limit definition of the integral and relate it to the area under the curve

8. Explain the sum and constant rules for both integrals and derivatives

9. Explain the rules for taking the limits of functions

10. Explain the improper integral

GRADING- You will be graded based on the following rubric:

Each category counts for 25% of your grade-

Category / Unsatisfactory / Satisfactory / Exemplary
Rules/Processes/Theory / Rules/processes/theory are included but no supporting explanation (+15) / Rules/processes/theory are included but explanation is not crystal clear (+20) / Rules/processes/theory are included and explanation is crystal clear and completely understandable (+25)
Examples and Solutions / Examples are provided but solution(s) are either missing or inaccurate (+15) / Examples are provided and solution(s) are correct but appropriate work is not shown (or is shown but is not crystal clear) (+20) / Examples are provided and solution(s) are correct. Appropriate work shown is crystal clear and completely understandable. (+25)
Clarity/Understandability / More than two “hmmm…” moments (+15) / One or two “hmmm…” moments (+20) / Not a single “hmmm…” moment (+25)
Typed & Submitted Digitally / HARD COPIES NOT ACCEPTED. (+0) / HARD COPIES NOT ACCEPTED. (+0) / Typed & Submitted Digitally (+25)