Announcements
NOTICE: I will be offering "Captivating Calculus" in period 5 on Choice Fridays in 2401 (if you come late and I'm not there, try to find me in the math lab). Please use this as an additional opportunity to get help with calculus, or to come ask deeper questions that we don't have time for in class. Please let me know in advance if you are coming, as I normally teach during this period and need to get coverage in order to run Captivating Calculus. If you score below 80% on a test, this period of help is mandatory.
Schedule
- Week of Apr. 27
- Monday, Apr. 27: AP Calculus practice/review - Test 7 Part I (Part II at home) until 3:45PM
- Wednesday, Apr. 29: Test 7 MCQ Review
- Friday, May. 1: COL Humanities
- Week of May. 4
- Monday, May. 4: AP Calculus practice/review - Test 8 FULL MOCK 12:30PM-4:00PM, Review in the evening?
- Wednesday, May. 6: Work period (Grade 9 pullout)
- Friday, May. 8: Work period
- Week of May. 11
- Monday, May. 11: AP test, Celebration! (in class)
- Wednesday, May. 13: Spare
- Friday, May. 15: Victoria Day weekend
- Week of May. 18
- Monday, May. 18: Victoria Day weekend
- Wednesday, May. 20: Approximate integration and numerical methods
- Friday, May. 22: Spare
- Week of May. 25
- Monday, May. 25: Trigonometric integrals
- Wednesday, May. 27: Inverse trig substitution
- Friday, May. 29: Spare
- Week of Jun. 1
- Monday, Jun. 1: Surface area of revolution and Gabriel's horn
- Wednesday, Jun. 3: Spare
- Friday, Jun. 5: Spare
- Week of Jun. 8
- Monday, Jun. 8: Newton's Law of Cooling and forensics
- Wednesday, Jun. 10: Spare
- Friday, Jun. 12: Spare
- Week of Jun. 15
- Monday, Jun. 15: MasterChef Calculus
- Wednesday, Jun. 17: Spare
- Friday, Jun. 19: Spare
- Week of Jun. 22
- Monday, Jun. 22: Last class activities
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.
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.Final exam information: 8:00 AM, Monday, May 12, 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
- DE: Slope field plotter · Logistic model derivation
- Integration: 8.2 example · Volume: cross sections · Volume (GeoGebra) · Volumes of revolution
- Polar: 9.7 example · 9.9 example 1 · 9.9 example 2 · 9.9 example 5
- Series: Series quick reference sheet
Practice Problems
- Unit 1
- Units 3–5
- Derivative practice (answers included)
- Unit 6
- 6.1–6.3 handout (Solutions)
- Numerical Integration worksheet (Solutions)
- Worksheet 1 on substitution
- Worksheet 2 on substitution
- Interactive practice on completing the square
- Practice on polynomial division (focus on linear divisors, then quadratic divisors)
- Worksheet on long division & completing the square
- Practice with various integration techniques (Solutions)
- Integration Bee (Solutions)
- Unit 7
- Unit 8
- Unit 10
- Mini-maths
- Mini-math Sep 13 (6.1–6.3) (Solutions)
- Mini-math Sep 26 (6.4–6.14) (Solutions)
- Mini-math Oct 24 (7.1–7.5) (Solutions)
- Mini-math Oct 29 (7.6–7.9) (Solutions)
- Mini-math Nov 21 (8.1–8.6) (Solutions)
- Mini-math Dec 3 (8.7–8.13) (Solutions)
- Mini-math Jan 9 (9.1–9.6) (Solutions)
- Mini-math Jan 16 (9.6–9.9) (Solutions)
- Mini-math Feb 6 (10.1–10.9) (Solutions)
- Mini-math Mar 9 (10.10–10.15) (Solutions) -->
Challenges
- Unit 1: A weird limit – limit at 0⁺ DNE example.
- Unit 1: Continuous nowhere
- Unit 1: Continuous on irrationals
- Unit 1: Continuous on rationals
- Unit 2: Continuous but not differentiable
- Unit 2: Differentiability for piecewise
- Unit 3: Continuous but nowhere differentiable
- Unit 6: An integral
- Unit 6: Integration by parts
- Unit 6: Integration by parts II
- Unit 6: Integration by parts III
- Unit 6: Coefficients in PFD
- Unit 6: An improper integral
- Unit 7: SOV & division by 0
- Unit 9: Bat curve
- Unit 9: Area of lemniscate
- Unit 10: Challenging series
- Unit 10: Sparse Harmonic Series
- Unit 10: Divergence Test II
- Unit 10: Sum of product