2013 AP Calculus AB Exam

1. 2013AP Calculus AB Exam

2. 1. Show all work • The grader is not interested in finding the answer to the problem, they are interested in seeing if you know how to solve the problem. 2. Do not round partial answers. • Store them in your calculator, or record them to as many places as possible. 3. Do not let the points at the beginning keep you from getting points at the end. • If you can do part (c) without doing (a) and (b), do it. If you need part (a) for part (c), create work for part (a) and guess an answer to use for (c).

3. 4. If you use your calculator to solve an equation, write the equation first. • An answer without an equation might not get full credit, even if is correct. 5. If you use your calculator to find a definite integral, write the integral first. • An answer without an integral WILL NOT get full credit, even if correct. 6. Do not waste time erasing bad solutions. • If you change your mind, simply cross out the bad solution and write the correct one, crossed out answers will not be corrected.

4. 7. Using your calculator • The following can be done without showing work: (a) graphing functions, (b) numerical derivatives, (c) numerical integrals, and (d) solve equations. • You cannot do the following without work on the test: determine min/max points, concavity, inflection points, increasing/decreasing, domain, range. 8. Be sure you have answered the problem. • If you change your mind, simply cross out the bad solution and write the correct one, crossed out answers will not be corrected.

5. 9. To guess or not to guess? • Guess. Guess every time. No points are deducted for wrong answers. In the free response section, you may guess, but do not leave multiple conflicting solutions. 10. Justify your answers • If you are asked to justify read what exactly you need to justify and only explain that portion of the problem. Abbreviations may only be used for accepts mathematical expressions. • Do not use: CU/CD or I/D, etc.

6. Sign charts are not justifications! • A sign chart is an accepted way of demonstrating work, but not accepted as a justification for a solution. All sign charts should be accompanied by words or expressions (e.g. increasing/decreasing, concave up/concave down, inflection point, critical points, etc.) as well as a defined interval.

7. Scoring

8. Example Score A Student A gets a 4

9. Example Score B Student B gets a 3

10. Example Score C Student C gets a 5

11. Top 10 Mistakes2008-2012

12. 1. Inflections Points is a point of inflection is NOT always true. Use the second derivative to determine the possible points of inflection, then: ALWAYS TEST THE POINTS!!

13. 2. Minima and Maxima is a minimum/maximum is NOT always true. To show that a point is a minimum or maximum the function must be continuous at the point and the function must change its monotonicity at the point. ALWAYS TEST THE POINTS!!

14. 3. Average Rate of a Change Is it: Or

15. 4. Volume of Revolutions It is not: What could that equation give? The volume of revolutions is outside radius squared, minus inside radius squared.

16. 5. Solving Differentials Cannot be solved like: Or like: The variable for integration must always be with the variable your are integrating.

17. 6. Constants of Integration Indefinite integrals always have constants, not exceptions.

18. 7. Pronouns in Justifications Do not use them. A judger will not recognize pronouns as their antecedents in justifications. EX: The function was increasing on and the interval . It was decreasing on the interval .

19. 8. Equations Computed in Calculators Calculators are viewed as an assisting tool for the test, not a replacement for understanding calculus. EX: If a question requires you to find the area under the equation on . You cannot put The minimally accepted answer would be

20. 9. Logarithmic Antiderivative Only if is a first order equation: or

21. 10. Chain Rule Errors Always multiply by the derivative of what is inside.