# Week 3ap Calculus

__AP Central (Pre-2019 AB FRQs)__AB Formula Booklet

__AP Central (Pre-2019 BC FRQs)__

__Schedule of Topics and Assignments (2020-21)__AP Calculus AB eLearning Guide- Week 3 April 27 - May 1, 2020 O b j e c ti v e s Function Analysis, FTC, Average Rate of Change, Trig Derivatives, Absolute Extrema, L’Hospital’s Rule, Evaluating Limits, Slope Fields, Differential Equations, Linear Approximation, Equation of Tangent Line, Definite Integration, Relative Extrema, Solutions. 04-01 Monday: Go over Practice Exam AB-1. Work on Practice Exam AB-3 AP Calculus AB Practice Exam MC questions only 04-16 Tuesday: Substitute Set 4 FR. Westlake City School District PK-12 school district in.

__Week of January 25 - January 29__

Day 1: Screencast: Related Rates (5.3)

- In-Class: 402 # 1 – 13 odd; p. 417 MCQs # 1, 3, 7, 11

Day 2: Screencasts: Logistic Growth (5.4); Area Between Curves (6.1)

- In-Class: 413 # 1, 3, 5, 8, 9, 13
- Chapter 5 Prep Quizzes opens

__Week of February 1- February 5__

Day 1: Screencasts: Arc Length (6.2), General Intro to Volume (6.3 to 6.6)

- In-Class: 424 # 1 – 4 one each in group; p. 454 # 1 – 13 odd

Day 2:

**Chapter 5 Test**- Summary Sheet due
- Canvas Review Quiz 1 opens

__Week of February 8 - February 12__

Day 1: Screencast: Volume by Rotation around an Axis (6.3)

- In-Class: 497 # 1 - 9 odd; p. 461 # 1, 3, 4, 6 MCQ; p. 477 # 1 - 8 in class

Day 2: Screencast: Volume by Rotation around a line (6.4)

- In-Class: 477 # 9, 13, 15, 17; p. 490 # 1 – 4 in class
due Monday night 10pm*Quiz on 6.1 to 6.4*

__Week of February 15 - February 19__

Monday: President's Day

due Monday night 10pm*Quiz on 6.1 to 6.4*

- In-Class: 490 # 8, 9, 12, 14

- In-Class: 504 # 1 – 5, 9, 10
- Chapter 6 Prep Quizzes opens

__Week of February 22 - February 26__

Day 1: Review Day

- In-Class: 515 # 1 – 4, 13, 14
- Summary Sheet due
- Start AP FRQ Packet #1

Day 2:

*Chapter 6 Test*__Week of March 1 - March 5__

Day 1: Screencasts: Limits (7.1); Limit Definition of a Derivative (7.2); One-sided Limits (7.3)

Day 2: Screencast: Continuity (7.4)

- In-Class: 555 MCQs # 1 – 11 odd; p. 562 MCQs # 1 – 9 oddp. 572 # 1 – 9 odd
- Chapter 3 Prep Quizzes opens

__Week of March 8 - March 12__

Day 1: Screencast: Differentiability (7.5)

- In-Class: 581 # 1 - 11 odd, p. 583 MCQs # 1 – 7 odd
- AP FRQ Packet #1 due
- Start AP FRQ Packet #2

- In-Class: 592 # 1 – 4, 5, 7, 9, 1; p. 609 MCQs # 1 - 15 odd

__Week of March 15 - March 19__

Day 1: Screencast: Accumulation of Rates Review (8.1)

- Canvas Review Quiz 3 opens
- AP FRQ Packet #4 due
- Start AP FRQ Packet #5
- Chapter 7 Prep Quizzes closes

__Chapter 7 Test__- Summary Sheet due

*Canvas Review Quiz 3 on closes*

__Week of March 22 - March 26__

Day 1: Screencasts: Table Problems Review (8.2); Graphical Analysis Review (8.3)

- AP Packet FRQ Packet #5 due
- Start AP MCQ Packet

__Week of March 29 - April 2__

Day 1: Screencast: Differential Equations Review (8.5)

- Canvas Review Quiz 4 on opens
- AP MCQ Packet due
- Start AP Packet FRQ Handout #5

**Easter Break Week of March 30 - April 11**__Week of April 12 - April 16__

Day 1: Screencast: Related Rates Review (8.7)

- AP Packet FRQ Handout #5 due

*Online Review Quiz 4 on Closes*

__Week of April 19 - April 23__

Day 1: Screencast: Implicit Differentiation and Related Rates (8.7)

After School Block:

*Spring Final Multiple Choice (no Calculator)*Day 2: Screencast: Miscellaneous Topics Review (8.8).

After School Block:

*Spring Final Multiple Choice (Calculator)*__Week of April 26 - April 30__

Day 1: Final Exam FRQ Review

- BC16 Packet due

*Spring Final Free Response (Calculator)*Day 3: After School Block:

*Spring Final Free Response (No Calculator)*__Week of May 3 - May 7__

Monday: AM—US Govt; PM— Physics C

Tuesday: AM— Calculus; PM— German & Geography

Wednesday: AM—ENG Lit; PM—Japanese & Physics 1

Thursday: AM— US History; PM— Art History & Comp Sci A

Friday: AM— Chemistry & Spanish Lit; PM— European History & Physics

Day 1: AP Review Day

- Read the Kaplan article on MC Strategies (Links to an external site.)

__Week of May 10 - May 14__

Monday: AM—French & World History; PM— Macroeconomics

Tuesday: AM—Spanish; PM— Latin & Psychology

Wednesday: AM—ENG Lang; PM— Microeconomics & Music

Thursday: AM—Comp Govt & Comp Sci Principles; PM—Stats

Friday: AM— Biology & Italian; PM—Chinese & Env Sci

Day 1: AP Packet Handout #5 Due

Day 2: Complete the post-course survey at http://www.surveygizmo.com/s3/1248749/BC-Calculus-feedback (Links to an external site.)

Read these articles:

__Week of May 17 - May 21__

Day 1: Senior Holiday

Day 2: No class

Friday: Transition Liturgy

__Week of May 24 - May 28__

Final Exams

May 29: Graduation

Week of August 31 - September 4

**PAST ASSIGNMENTS**Week of August 31 - September 4

Day 1: Course Introduction

- Screencasts to watch before class
- Homework due before next class
- Read the article
*Retrieval Practice* - Take the Myers-Briggs Test
- Complete the Student Information Survey
- Create your AP Central account and link your join codes.

- Read the article

- In-Class: 9 # 1- 19 odd; p. 19 # 1- 5, 7, 9, 14 - 21

__Week of September 7 - September 11__

Day 1: Screencast: Trig, Trig Inverse and Log Rules (1.3)

- In-Class: 29 # 1, 3, 4, 7, 11, 14, 15, 18

- In-Class: 36 # 1 - 11 odd.
- Download Quiz at the end of class.

__Week of September 14 - September 18__

Day 1: Screencast: Product Rule (1.5)

- In-Class: 42 # 1, 4, 8, 15, 17, 23, 27, 29; MCQ p. 44 # 1, 5, 6

- In-Class: 51 # 1, 2, 7, 8, 13, 17, 18, 21; MCQ p. 52 # 1, 3, 5
*Quiz on 1.5 & 1.6 opens*

*Quiz on 1.5 & 1.6 closes at 10 pm*

__Week of September 21 - September 25__

Day 1: Screencast: Higher Order Derivatives

- In-Class: 58 # 1 – 7 odd, 13, 15, 23, 25
- Download and review
*Facts from PreCalc*

- In-Class: 86 # 1 - 21 odd; p. 87 # 1 - 6 (MCQ)
- Chapter 1 Prep Quiz opens

__Week of September 28 - October 2__

Day 1: Review and Test Prep

- Summary sheet for Make It Stick due
- Chapter 1 Prep Quiz closes at 5pm

*Chapter 1 Test*- Summary Sheet due

__Week of October 5 - October 9__

Day 1: Screencast: U-Substitution (2.2)

- In-Class: 95 # 1 - 17 odd

- In-Class: 96 # 1 - 6 (MCQ); p. 105 # 1 - 21 e.o. odd
- Quiz on 2.1 to 2.3 opens after class; due on Sunday Night

__Week of October 12 - October 16__

Day 1: Screencast: Separable Differential Equations (2.4)

- In-Class: 118 # 1 - 23 odd

__Week of October 19 - October 23__

Day 1: Screencast: Slope Fields (2.5)

- In-Class: 138 # 1 - 10 MCQ (together); p. 141 # 1 - 10 MCQ (together)
- Chapter 2 Prep Quizzes opens

- In-Class: 171 # 1 – 23 odd

__Week of October 26 - October 30__

Day 1: Chapter 2 Test Review

- Chapter 2 Prep Quizzes closes at 5pm
- In-Class: Chapter 2 FRQ Practice

*Chapter 2 Test*- Summary Sheet due

__Week of November 2 - November 6__

Day 1: Screencast: Definite Integrals and U-Substitution (3.2)

- In-Class: 179 #1 – 25 e.o.odd

- In-Class: 192 # 1, 3, 5, 7
- Quiz on 3.1 to 3.3 due Sunday night

__Week of November 9 - November 13__

Day 1: Screencast: Integrals in Context (3.4)

- In-Class: 209 # 1 - 15 odd

- In-Class: p. 226 (MCQ) # 1 - 9 odd
- In-Class: p. 221 # 4

__Week of November 16 - November 20__

Day 1: Topic: Accumulation of Rates (3.5)

- In-Class: 221 # 5, 6, 7, 9, 11

- In-Class: 235 # 1 - 8 (two per student in group)
- Chapter 3 Prep Quizzes opens

__Week of November 23 – November 24__

Day 1:

*Chapter 3 Test*- Summary Sheet due

**Thanksgiving**__Week of November 30 - December 4__

Day 1: Screencast: Extremes and the Derivative Tests (4.1)

- In-Class: p. 268 # 1 - 13

## Week 3ap Calculus Definition

__Week of December 6 - December 10__

Day 1: Screencasts: The Second Derivative (4.4)

- In-Class: p. 301 # 1 - 13 all
- Chapter 1 - 3 Prep Quizzes opens

__Week of December 14 - December 18__

For X-Period Office Hours this week, use the Wednesday Zoom link in Canvas

Monday/Tuesday: Final Exam Review Day

- Come to class with questions about the FRQ Practice Exam
- Chapter ALL Prep Quizzes close at 10pm Tuesday

**Christmas Vacation December 19- January 1**__Week of January 4 - January 8__Day 1: Screencast: Graphing with Derivatives (4.5)

- Final Exam Review
- In-Class: p. 311 # 1, 3, 5 9, 10

**In-Class: Memory Quiz 1**- In-Class: p. 327 # 7 – 10

__Week of January 11 - January 15__

Day 1: Screencast: Graphical Analysis II (4.7)

- In-Class: p. 340 # 1, 3, 5, 7 and AP Handout

**In-Class: Memory Quiz 2**- In-Class: One Algebraic, one numerical and one graphical for each person in the group from p. 387 # 9 – 14, 20 – 22, and 24 - 27
**Quiz on 4.6 and 4.7 (Due Monday night at 10pm)**- Chapter 4 Prep Quizzes opens

__Week of January 18 - January 22__

Monday: Martin Luther King Holiday

**Quiz on 4.6 and 4.7 due at 10pm**

## Week 3ap Calculus Practice

Day 1: Screencast: Implicit Differentiation (5.2)- In-Class: p. 402 # 1, 3, 5, 6, 11, 15, and AB2004 #4
- Chapter 4 Prep Quizzes closes Wednesday night at 10pm

*Chapter 4 Test**Summary sheet due**Quiz on 5.1 to 5.3 opens*

This article is part of a series on |

Advanced Placement |
---|

General exam structure • Awards |

AP Capstone |

Current Subjects |

In Development |

Former Subjects |

**Advanced Placement Calculus** (also known as **AP Calculus**, **AP Calc**, or simply **AB / BC**) is a set of two distinct Advanced Placementcalculus courses and exams offered by the American nonprofit organization College Board. **AP Calculus AB** covers basic introductions to limits, derivatives, and integrals. **AP Calculus BC** covers all AP Calculus AB topics plus additional topics (including more advanced integration techniques such as integration by parts, Taylor series, parametric equations, vector calculus, polar coordinate functions, and curve interpolations).

## AP Exam[edit]

The College Board intentionally schedules the AP Calculus AB exam at the same time as the AP Calculus BC exam to make it impossible for a student to take both tests in the same academic year, though the College Board does not make Calculus AB a prerequisite class for Calculus BC. Some schools do this, though many others only require precalculus as a prerequisite for Calculus BC. The AP awards given by College Board count both exams. However, they do not count the AB sub-score piece of the BC exam.^{[1]}

### Format[edit]

The structures of the AB and BC exams are identical. Both exams are three hours and fifteen minutes long, comprising a total of 45 multiple choice questions and six free response questions. They are usually administered on a Tuesday morning in May.^{[2]}

Multiple-Choice, Section I Part A | Multiple-Choice, Section I Part B | Free-Response, Section II Part A | Free-Response, Section II Part B | |
---|---|---|---|---|

# of Questions | 30 | 15 | 2 | 4 |

Time Allowed | 60 minutes | 45 minutes | 30 minutes | 60 minutes |

Calculator Use | No | Yes | Yes | No |

The two parts of the multiple choice section are timed and taken independently.

Students are required to put away their calculators after 30 minutes have passed during the Free-Response section, and only at that point may begin Section II Part B. However, students may continue to work on Section II Part A during the entire Free-Response time, although without a calculator during the later half.

### Scoring[edit]

The multiple choice section is scored by computer, with a correct answer receiving 1 point, with omitted and incorrect answers not affecting the raw score. This total is multiplied by 1.2 to calculate the adjusted multiple-choice score.^{[3]}

The free response section is hand-graded by hundreds of educators each June.^{[4]} The raw score is then added to the adjusted multiple choice score to receive a composite score. This total is compared to a composite-score scale for that year's exam and converted into an AP score of 1 to 5.

For the Calculus BC exam, an AB sub-score is included in the score report to reflect their proficiency in the fundamental topics of introductory calculus. The AB sub-score is based on the correct number of answers for questions pertaining to AB-material only.

## AP Calculus AB[edit]

AP Calculus AB is an Advanced Placementcalculus course. It is traditionally taken after precalculus and is the first calculus course offered at most schools except for possibly a regular calculus class. The Pre-Advanced Placement pathway for math helps prepare students for further Advanced Placement classes and exams.

### Purpose[edit]

According to the College Board:

An AP course in calculus consists of a full high school academic year of work that is comparable to calculus courses in colleges and universities. It is expected that students who take an AP course in calculus will seek college credit, college placement, or both, from institutions of higher learning.The AP Program includes specifications for two calculus courses and the exam for each course. The two courses and the two corresponding exams are designated as Calculus AB and Calculus BC. Calculus AB can be offered as an AP course by any school that can organize a curriculum for students with advanced mathematical ability.^{[5]}

### Topic outline[edit]

The material includes the study and application of differentiation and integration, and graphical analysis including limits, asymptotes, and continuity.^{[6]} An AP Calculus AB course is typically equivalent to one semester of college calculus.^{[7]}

- Analysis of graphs (predicting and explaining behavior)
- Limits of functions (one and two sided)
- Asymptotic and unbounded behavior
- Derivatives
- Concept
- At a point
- As a function
- Higher order derivatives
- Techniques

- Integrals
- Interpretations
- Properties
- Techniques

Score | 2017^{[8]} | 2018^{[9]} | 2019^{[10]} | 2020^{[11]} |
---|---|---|---|---|

5 | 18.7% | 19.4% | 19.1% | 19.0% |

4 | 18% | 17.3% | 18.7% | 20.4% |

3 | 20.8% | 21% | 20.6% | 20.5% |

2 | 22% | 22.4% | 23.3% | 24.1% |

1 | 20.4% | 20% | 18.3% | 16.0% |

% of Scores 3 or Higher | 57.5% | 57.7% | 58.4% | 59.9% |

Mean | 2.93 | 2.94 | 2.97 | 3.02 |

Standard Deviation | 1.40 | 1.40 | 1.38 | 1.36 |

Number of Students | 316,099 | 308,538 | 300,659 |

## AP Calculus BC[edit]

### Purpose[edit]

According to the College Board,

Calculus BC is a full-year course in the calculus of functions of a single variable. It includes all topics covered in Calculus AB plus additional topics...Students who take an AP Calculus course should do so with the intention of placing out of a comparable college calculus course.^{[5]}

### Topic outline[edit]

AP Calculus BC includes all of the topics covered in AP Calculus AB, as well as the following:

- Convergence tests for series
- Polar functions (including arc length in polar coordinates and calculating area)
- Arc length calculations using integration
- Using partial fractions to integrate rational functions
^{[12]}

Score | 2017^{[13]} | 2018^{[9]} | 2019^{[10]} | 2020^{[11]} |
---|---|---|---|---|

5 | 42.6% | 40.4% | 43.0% | 44.2% |

4 | 18.1% | 18.6% | 18.5% | 17.4% |

3 | 19.9% | 20.7% | 19.5% | 19.2% |

2 | 14.3% | 14.6% | 13.9% | 14.4% |

1 | 5.3% | 5.6% | 5.2% | 4.8% |

% of Scores 3 or Higher | 80.6% | 79.7% | 81.0% | 80.8% |

Mean | 3.79 | 3.73 | 3.81 | 3.82 |

Standard Deviation | 1.28 | 1.28 | 1.27 | 1.27 |

Number of Students | 132,514 | 139,376 | 139,195 |

#### AB sub-score distribution[edit]

Score | 2017^{[13]} | 2018^{[9]} | 2019^{[14]} |
---|---|---|---|

5 | 48.4% | 48.7% | 49.5% |

4 | 22.5% | 20.2% | 23.5% |

3 | 14.1% | 15.9% | 13.2% |

2 | 10% | 9.9% | 9.7% |

1 | 4.9% | 5.3% | 4.2% |

% of Scores 3 or Higher | 85% | 84.8% | 86.2% |

Mean | 4 | 3.97 | 4.05 |

Standard Deviation | 1.21 | 1.23 | 1.18 |

Number of Students | 132,505 | 139,376 | 139,195 |

## Benefits[edit]

Independent research on the academic benefits of the Advanced Placement Calculus course indicates that not all students receive academic benefits from participating in the course. In a study with a sample size of over 90,000, the authors found that students who took the AP Calculus course did not receive any increase in academic achievement unless they also prepared for and took the AP test. The authors controlled for over 70 intervening variables and found that AP students who took and passed the AP Calculus AB or BC exam had ACT scores that were 1.8 points higher than non-AP students or AP Calculus students who did not take their course's AP test.^{[15]} This led the authors to state that 'AP participation... is not beneficial to students who merely enroll in the courses ...'^{[15]}^{:p. 414}

## See also[edit]

## References[edit]

**^**'2018 AP Exam Dates The Princeton Review'.*www.princetonreview.com*. Retrieved 2018-08-20.**^**'The Exam'.*Calculus AB*. College Board. Archived from the original on 2008-12-19. Retrieved 2008-11-29.**^**'2006, 2007 AP Calculus Course Description'(PDF). College Board. 2005. Archived from the original(PDF) on 2008-07-20. Retrieved 2008-11-29.**^**'AP: The Grade-Setting Process'. College Board. Archived from the original on 2008-12-18. Retrieved 2008-11-29.- ^
^{a}^{b}'2006, 2007 AP Calculus Course Description'(PDF). College Board. 2005. Archived from the original(PDF) on 2008-07-20. Retrieved 2008-11-29. **^**'Topic Outline'.*Calculus AB*. College Board. Archived from the original on 2008-12-19. Retrieved 2008-11-29.**^**'Course Descriptions'(PDF).**^**College Board. 'AP Calculus AB May 2017 Score Distributions'(PDF). Archived from the original(PDF) on 2018-03-26. Retrieved 2017-06-22.- ^
^{a}^{b}^{c}https://secure-media.collegeboard.org/digitalServices/pdf/research/2018/Student-Score-Distributions-2018.pdf - ^
^{a}^{b}'STUDENT SCORE DISTRIBUTIONS'(PDF). Retrieved July 9, 2020. - ^
^{a}^{b}Total Registration (2020-07-10). '2020 AP Exam Score Distributions'.*www.totalregistration.net*. Retrieved 2020-07-10. **^**'Topic Outline'.*Calculus BC*. College Board. Archived from the original on 2008-12-19. Retrieved 2008-11-29.- ^
^{a}^{b}'AP Calculus AB and Calculus BC Chief Reader Report May 2017'(PDF). Archived from the original(PDF) on 2018-07-25. **^**'STUDENT SCORE DISTRIBUTIONS'(PDF). Retrieved July 9, 2020.- ^
^{a}^{b}Warne, Russell T.; Larsen, Ross; Anderson, Braydon; Odasso, Alyce J. (2015). 'The impact of participation in the Advanced Placement program on students' college admissions test scores'.*The Journal of Educational Research*.**108**(5): 400–416. doi:10.1080/00220671.2014.917253. hdl:10.1080/00220671.2014.917253.

## External links[edit]

- AP Calculus AB
- AP Calculus BC