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
Wednesday: Quiz on 5.1 to 5.3 due
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
Wednesday: Chapter 5 Prep Quizzes closes
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
Wednesday Night: Canvas Review Quiz 1 closes
Day 2: Screencast: Volume by Rotation around a line (6.4)
• In-Class: 477 # 9, 13, 15, 17; p. 490 # 1 – 4 in class
• Quiz on 6.1 to 6.4 due Monday night 10pm

Week of February 15 - February 19
Monday: President's Day
• Quiz on 6.1 to 6.4 due Monday night 10pm
Day 1: Screencast: Volume by Cross-Section (6.5)
• In-Class: 490 # 8, 9, 12, 14
Day 2: Screencast: AP Volume Questions (6.6)
• 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
Wednesday: Chapter 6 Prep Quizzes closes at 10pm
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
Sunday Night: Canvas Review Quiz 2 closes
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
Day 2: Screencast: End Behavior and Limits at Infinity (7.6)
• 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
Day 2: Chapter 7 Test
• Summary Sheet due
Sunday Night: 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
Day 2: Screencast: Rectilinear Motion Review (8.4)
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
Day 2: Screencast: Area and Volume Review (8.6)
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
Day 2: Screencast: Area and Volume (8.6)
• 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
Day 2: After School Block: 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.)
Day 2: AP Review Day
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.)

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

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
Day 2: Screencasts: Power and Exponential Rules (1.1); The Chain Rule (1.2)
• 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
Day 2: Screencast: Local Linearity (1.4)
• In-Class: 36 # 1 - 11 odd.
Sunday: Take-home Quiz on 1.1 - 1.4 due at 10 pm
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
Day 2: Screencast: Quotient Rule (1.6)
• In-Class: 51 # 1, 2, 7, 8, 13, 17, 18, 21; MCQ p. 52 # 1, 3, 5
• Quiz on 1.5 & 1.6 opens
Sunday: 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
Day 2: Screencast: Chapter 2 Intro; Anti-derivatives (2.1)
• 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
Day 2: 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
Day 2: Screencast: The Transcendental Rules (2.3)
• 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
Sunday: Quiz on 2.1 to 2.3 Due
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
Day 2: Screencasts: Chapter 3 Overview; Intro to Definite Integrals (3.1)
• In-Class: 171 # 1 – 23 odd
Chapter 2 Prep Quizzes opens
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
Day 2: 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
Day 2: Screencast: Approximations of Definite Integrals (3.3)
• 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
Day 2: Screencast: Accumulation of Rates (3.5)
• 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
Day 2: Screencast: Table Problems (3.6)
• In-Class: 235 # 1 - 8 (two per student in group)
• Chapter 3 Prep Quizzes opens
Sunday: Chapter 3 Prep Quizzes closes
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
Day 2: Review Screencast: Mean Value Theorem (4.2)In-Class: 280 # 1 - 4, 7 -10

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
Day 2: Chapter 3 Class FRQ RetakeFinal Exam Prep quiz 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
Wednesday/Thursday: Final Exams
Christmas Vacation December 19- January 1
Week of January 4 - January 8Day 1: Screencast: Graphing with Derivatives (4.5)
• Final Exam Review
• In-Class: p. 311 # 1, 3, 5 9, 10
Day 2: Screencast: Graphical Analysis (4.6)
• 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
Day 2: Screencast: Motion (5.1)
• 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
Day 2: Chapter 4 Test
• Summary sheet due
• Quiz on 5.1 to 5.3 opens

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

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

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 AMultiple-Choice, Section I Part BFree-Response, Section II Part AFree-Response, Section II Part B
# of Questions301524
Time Allowed60 minutes45 minutes30 minutes60 minutes
Calculator UseNoYesYesNo

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

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

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

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

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
Score2017[8]2018[9]2019[10]2020[11]
518.7%19.4%19.1%19.0%
418%17.3%18.7%20.4%
320.8%21%20.6%20.5%
222%22.4%23.3%24.1%
120.4%20%18.3%16.0%
% of Scores 3 or Higher57.5%57.7%58.4%59.9%
Mean2.932.942.973.02
Standard Deviation1.401.401.381.36
Number of Students316,099308,538300,659

AP Calculus BC

Purpose

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

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]
Score2017[13]2018[9]2019[10]2020[11]
542.6%40.4%43.0%44.2%
418.1%18.6%18.5%17.4%
319.9%20.7%19.5%19.2%
214.3%14.6%13.9%14.4%
15.3%5.6%5.2%4.8%
% of Scores 3 or Higher80.6%79.7%81.0%80.8%
Mean3.793.733.813.82
Standard Deviation1.281.281.271.27
Number of Students132,514139,376139,195

AB sub-score distribution

Score2017[13]2018[9]2019[14]
548.4%48.7%49.5%
422.5%20.2%23.5%
314.1%15.9%13.2%
210%9.9%9.7%
14.9%5.3%4.2%
% of Scores 3 or Higher85%84.8%86.2%
Mean43.974.05
Standard Deviation1.211.231.18
Number of Students132,505139,376139,195

Benefits

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

References

1. ^'2018 AP Exam Dates The Princeton Review'. www.princetonreview.com. Retrieved 2018-08-20.
2. ^'The Exam'. Calculus AB. College Board. Archived from the original on 2008-12-19. Retrieved 2008-11-29.
3. ^'2006, 2007 AP Calculus Course Description'(PDF). College Board. 2005. Archived from the original(PDF) on 2008-07-20. Retrieved 2008-11-29.
4. ^'AP: The Grade-Setting Process'. College Board. Archived from the original on 2008-12-18. Retrieved 2008-11-29.
5. ^ ab'2006, 2007 AP Calculus Course Description'(PDF). College Board. 2005. Archived from the original(PDF) on 2008-07-20. Retrieved 2008-11-29.
6. ^'Topic Outline'. Calculus AB. College Board. Archived from the original on 2008-12-19. Retrieved 2008-11-29.
7. ^'Course Descriptions'(PDF).
8. ^College Board. 'AP Calculus AB May 2017 Score Distributions'(PDF). Archived from the original(PDF) on 2018-03-26. Retrieved 2017-06-22.
9. ^ abchttps://secure-media.collegeboard.org/digitalServices/pdf/research/2018/Student-Score-Distributions-2018.pdf
10. ^ ab'STUDENT SCORE DISTRIBUTIONS'(PDF). Retrieved July 9, 2020.
11. ^ abTotal Registration (2020-07-10). '2020 AP Exam Score Distributions'. www.totalregistration.net. Retrieved 2020-07-10.
12. ^'Topic Outline'. Calculus BC. College Board. Archived from the original on 2008-12-19. Retrieved 2008-11-29.
13. ^ ab'AP Calculus AB and Calculus BC Chief Reader Report May 2017'(PDF). Archived from the original(PDF) on 2018-07-25.
14. ^'STUDENT SCORE DISTRIBUTIONS'(PDF). Retrieved July 9, 2020.
15. ^ abWarne, 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.