Announcements
NOTICE: AP Calculus BC has a mandatory class in period 5 on Choice Fridays during the first round of choice (up to Oct. 23)
Schedule
- Week of Sep. 28
- Monday, Sep. 28: Unit 5 test
- Wednesday, Sep. 30: pre-break activities
- Friday, Oct. 2: Work period
- Week of Oct. 5
- Monday, Oct. 5: Work period
- Wednesday, Oct. 7: Work period
- Friday, Oct. 9: Work period
- Week of Oct. 12
- Monday, Oct. 12: No class
- Wednesday, Oct. 14: 6.1-6.3
- Friday, Oct. 16: 6.4-6.6
- Week of Oct. 19
- Monday, Oct. 19: 6.7-6.8
- Wednesday, Oct. 21: Mini-math (6.1-6.8), 6.9
- Friday, Oct. 23: 6.10-6.11
- Week of Oct. 26
- Monday, Oct. 26: 6.12-6.14
- Wednesday, Oct. 28: Integration Bee
- Friday, Oct. 30: Halloween (no class)
- Week of Nov. 2
- Monday, Nov. 2: Unit 6 test
- Wednesday, Nov. 4: pre-break activities
- Friday, Nov. 6: PTC
Homework
If you are consistently spending more than 1 hour per day on homework, please see me. Nearly every section has an AP Classroom homework with a deadline (usually the next class). Paper assignments from Flipped Math will also be assigned, also due for the next class. Any additional homework will be listed here.
- Wednesday, September 9: Course outline and bio sheet to be submitted. Fill out the form to estimate your Units 1-4 score.
Exams
For MCQ, selecting the correct option gives you full points (as it would on the AP exam). Unlike the AP exam, you can earn partial marks if you show work and make significant progress. For the FRQ, you should make attempts to reasonably simplify (e.g. combine your integers into a single integer). This is different from the actual AP exam, where you only need to leave it in a form that a scientific calculator can evaluate. As for showing work, you should think about key steps; most of the FRQ can be solved in a few lines. Finally, keep in mind that every test in this course is partly cumulative, in the sense that I will be adding questions from previous units on each test, though they will make up a tiny portion. Math is not meant to be "siloed", and you need to be able to answer questions without having to cram for a specific unit.Unit 5 test
Scheduled for Monday, September 28 in-class (mountainview rooms). There will be a calculator portion and a non-calculator portion. You should be proficient in all material contained in Unit 5. More precisely, you should be able to:
- Apply the Mean Value Theorem
- Determine where a function satisfies the Mean Value Theorem
- Apply the Extreme Value Theorem
- Find and classify critical points
- Find local and global extrema
- Determine where a function is increasing or decreasing
- Use the First Derivative Test
- Determine the concavity of a function on an interval
- Use the Second Derivative Test
- Determine information about f, f', or f'' given information about another one of these functions
- Solve optimization problems
- Analyze an implicit function using derivatives and second derivatives
Exam weighting: 12.5
NOTE: any material from Units 1 to 4 is also fair game and may be useful/necessary.
Final exam information: 8:00 AM, Monday, May 10, 5th floor
| Part I - MC | Part II - FRQ | ||
|---|---|---|---|
| Part A | Part B | Part A | Part B |
| 30 | 15 | 2 | 4 |
| 60 minutes | 45 minutes | 30 minutes | 60 minutes |
| No Calculator | Calculator Required | Calculator Required | No Calculator |
| 33.3% | 16.7% | 16.7% | 33.3% |
Online Resources
- Shared Google Drive for AP Calculus BC
- RTC information
- Flipped Math – AP Calculus
- The Essence of Calculus (3Blue1Brown)
- Khan Academy: AP Calculus BC
- WolframAlpha – Online calculator
- Desmos – Graphing calculator
- Interactive Chain Rule
- Concavity visual: Curve, tangent, and f''
- Trig: Etymology of trig functions · Proofs of trig derivatives
Practice Problems
- Unit 1
- Units 2–4
- Derivative practice (answers included)
- Units 1–4
- Mini-maths