Sem 2 Study Guide - AP Calculus AB

Seniors: Thursday, May 25, 2023, 10:15 (during block B)

Juniors: Friday, June 2, 2023, 10:15

You are required to bring your own TI-84, pencil and eraser. It is a good idea to have a spare set of 4-AAA batteries (or a battery pack with a charger plug) with you in case your calculator needs it during the test.

The test will have one part that does not allow calculators, and another part that does. Within each there will be "free response" questions, and "Multiple Choice" style questions in the style of AP Calculus Exam.

The exam will be curved (top score is 100%) and will have some multiple choice and AP-style free response questions ("inspired by" the 2023 FRQ's).

 No CalculatorCalculator ActiveTotal
Multiple Choice 9 questions-18 points5 questions-9 points 14 questions-27 points (50%)
Free Response2 questions-18 points1 question-9 points3 questions-27 points (50%)
Total11 questions-36 points (2/3)6 questions-18 points (1/3)17 questions - 54 raw points
Recommended Time60 min30 min90 min

The content of the exam covers all the material we studied from Chapters P to Chapter 7, and a few Financial Math Word Problems we covered after the Exam. Most questions should remind you of all the AP practice questions we have been doing all quarter. The review packets and solutions (MC 1-8, FR 1-8) are at the SFHS Portal in the "Qtr 4: Practice Exams" Topic (look for the Homer Simpson picture with "The End is Near" sign). Additional practice can be found on DeltaMath.com, and myAp.collegeboard.com (Including Daily Videos on all Topics).

The questions on the exam do not require difficult calculations, but an understanding of the concepts. There is more thought than brute force necessary to come up with the correct solutions.

Students are expected to show enough of their work for Readers to follow their line of reasoning. To obtain full credit for the solution to a free-response problem, students must communicate their methods and conclusions clearly. Answers should show enough work so that the reasoning process can be followed throughout the solution. This is particularly important for assessing partial credit. Students may also be asked to use complete sentences to explain their methods or the reasonableness of their answers, or to interpret their results.

For results obtained using the calculator capabilities of plotting, finding zeros, finding the numerical derivative or integral, students are required to write the setup (e.g., the equation being solved, or the derivative or definite integral being evaluated) that leads to the solution, along with the result produced by the calculator.

For example, if the student is asked to find the area of a region, the student is expected to show a definite integral (i.e., the setup) and the answer. The student need not compute the antiderivative; the calculator may be used to calculate the value of the definite integral without further explanation.

For solutions obtained using the calculator capabilities, students must also show the mathematical steps that lead to the answer; a calculator result is not sufficient. For example, if the student is asked to find a relative minimum value of a function, the student is expected to use calculus and show the mathematical steps that lead to the answer. It is not sufficient to graph the function or use a built-in minimum folder.

When a student is asked to justify an answer, the justification must include mathematical reasons, not merely calculator results. Functions, graphs, tables, or other objects that are used in a justification should be clearly identified.

 

Our Sem 2 Exam is only 90 minutes, but will include a few Financial Math questions from the time after the exam, and all ten units of the AP Calculus Course and Exam Description (CED):


Here is a check list of the topics:

Here is a check list of the topics:

Helpful Links

  1. TI Finance Programs (with examples) or download them at https://www.mathorama.com/ti/
  2. Financial Word Problems
  3. AP Live Review Sessions 1-8
  4. Free Online Practice Tests (AB)
  5. Watch Mr O'Connor videos
  6. DeltaMath Practice
  7. Khan Academy's AP Calculus AB Web site Has a lot of great interactive assignments that provide hints, solutions, and links to videos that explain every topic on the AP Exam. You would want to go over the assignments for the topics listed above and consult our class at KhanAcademy
  8. Khan Academy's AP Calculus AB
  9. myAP.collegeboard.org AP Classroom now has short Daily Videos for Units 1-6
  10. Past Exam Questions from the College Board.
  11. Past Exam Answers from Mr Calculus.
  12. Past Exam Answers from Skylit.com.
  13. Exam Information from the College Board
  14. AP Exam Info
  15. Example Multiple choice and Free response questions are in the AP Course Description (Exam questions begin around page 228)
  16. MC questions from 1969-1998
  17. 2008 Multiple choice Questions and answers
  18. Video Links from the homework page
  19. Videos from the Mathorama Podcast
  20. Worksheets from the class Google classroom page.
  21. Syllabus has a grade calculator.

It would be good to go over the Free Response and Multiple choice questions that we started working after the Chapter 7 Test (MC1, FR1, Der-Int-Cal-Thm-Gpg WS for example), the PPC's at myAp.collegeBoard.org, and the AP Calc AB at Khan Academy (In particular the solved exams section), homework and tests; review what you did well, and learn from any mistakes. Another worksheet that might be helpful is a strategy review: AP Calculus:When you see the words....

 

. The exam category is worth 20% of your grade, and will be curved. (There is a grade calculator in the Syllabus)

Remember to a good night's rest, and eat a healthy breakfast!

Good Luck!