Pages 1-26 - Revised 11/30/20
01. Introduction
02. Tangent Lines
03. Average and Instanteous Rate of Change
04. Limits graphical
05. Limits Algebraic
ABStudentsp001-026.pdf 4.4MB
Pages 27-46 - Revised 12/01/20
06. Derivative definition
07. Derivatives w/ technology
08. Differentiation techniques
09. Chain Rule
Pages 47-69 - Revised 12/01/20
10. Derivatives of trig functions
11. Implicit differentiation
12. Derivatives transcendentals
13. Derivatives of inverses
14. Linear approximations
Pages 94-121 - Revised 12/02/20
17. Straight-line motion
18. 3 important theorems
19. Function analysis
Pages 152-174 - Revised 12/05/20
25. Indefinite integration
26. -substitution
27. Definite Integral and Area
28. The Accumulation Function
MB
Pages 175-198 - Revised 12/06/20
29. Riemann Sums
30. Fundamental Theorem
31. Definite integrals -sub
32. Integrating transcendentals
33. Motion revisited
Pages 213-240 - Revised 12/06/20
37. Volumes
38. Integral Applications
39. Slope fields
40. DEQ's
41. Exponential growth
42. Other growth models
Limits and the Infinity Guideline: Addendum 1
Derivatives as a Measure of Change: Addendum 2
Infinitesimals and Differentials:
Integrals - an Accumulation of Change: Addendum 3
Calc Review page:
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AP Calculus AB Class Schedule and Homework Assignments
* Lesson recordings are from 2020-21, so they may not completely match the lessons from this year.
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8/21 | Policy Sheet First Day Survey Linear, Polynomial, and Exponential Functions (1.1, 1.2, 1.5) |
| p. 12: 17-18, 23-27, 39-42, 74, 76-77, 79, 82 p. 25: 32-33, 35, 43a p. 58: 33, 39-43 odd, 56-57, 61-62 |
8/23 | Trigonometry and Combining Functions (1.3, 1.4) | Video | p. 37: 23-33 odd, 77-87 odd p. 46: 16, 57-71 odd, 76-78 |
8/27 | Inverse Functions and Logarithms (1.6, 1.7) | Video | p. 73: 21-29 odd, 34-36, 39-43 odd, 53-63, 70-72, 77-79 odd, 94, 101-113 odd p. 78: 5-10, 13 |
8/29 | Limits |
| p. 103: 25-36 p. 129: 17 (a-d), 25, 27, 29-35, 45-52 |
9/3 | Limits, Asymptotes, and Continuity |
| p: 102: 7-8, 10, 11-12 (skip f), 14-15, 39-51 p. 130: 63-68, 80-82 p. 143: 17-18, 27-32, 35 (use calculator), 44-45, 50-51, 57-60 |
9/5 | Review Chapter 1/2 | Sample Test (answers) | |
| Test Chapter 1/2 |
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9/11 | Velocity and Tangents |
| p. 89: 8, 13-15 p. 174: 30-33, 63 |
9/13 | The Derivative (3.1) |
| p. 173: 14-17 (NC on 16), 22-25 (NC on 22), 34-37, 41-42, 47-48 (NC), 57-58, 68-71 |
9/17 | The Derivative Function (3.2) |
| p. 188: 7-9, 11-19, 25-27, 30-34, 53-56, 67-70, 74-76 |
9/19 | Interpreting Derivatives and Higher Order Derivatives |
| p. 176: 73-78 p. 189: 20-24, 47-48, 52 p. 190: 41-42, 59-61, 63, 65-66 |
9/23 | Derivatives of Polynomials and Exponents (3.3) |
| p. 203: 11-39 odd, 45-49 odd, 61-65, 70-76, 86-87, 91-92 |
9/25 | Review Chapter 3A |
| Sample Test (answers) |
9/27 | Test Chapter 3A |
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10/1 | Product and Quotient Rules (3.4) | Video | p. 213: 6-7, 11-41 odd, 42-45, 47-51 odd (only part a), 54-66, 75 |
10/3 | Derivatives of Trig Functions (3.5) |
| p. 223: 5, 9-25 odd, 45-51 odd, 59-62, 67-68 p. 206: 96-102 |
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10/8 | Chain Rule (3.6) |
| p. 234: 7-8, 17-41 odd (skip 35), 61, 63, 68-78, 82-85, 87 |
10/10 | Derivatives of Logs and Inverse Functions (3.7, 3.8) |
| p. 248: 41-51 odd p. 259: 7-31 odd, 44, 56-59, 62-66, 68-71 |
| Implicit Differentiation |
| p. 248: 9-16, 19-35 odd, 36-37, 55-61 odd, 63-70, 79-80, 106-112 |
| Derivative Quiz Motion Problems (3.9) | Video | p. 270: 1-10 |
10/18 | Linear Approximation (3.11) |
| p. 285: 1-4, 7-15, 17-19, 21-22 |
10/22 | Review Chapter 3B |
| Sample Test (answers) |
10/24 | Test Chapter 3B |
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| L’Hopital’s Rule |
| p. 347: 5, 12, 13-39 odd (skip 33), 43, 73, 81 |
10/30 | Related Rates |
| p. 279: 1-11, 13-19 |
11/1 | Practice Related Rates |
| p. 280: 20-21, 23-29, 31-32, 34-35, 38 |
11/5 | Graphing |
| p. 304: 35-49 odd p. 331: 11-12, 14-15, 17-25 odd, 26-29, 45-53 |
11/7 | Graphing, Part 2 |
| p. 304: 21-33 odd, 53-67 odd, 69-72, 79-80 p. 334: 66, 70-71, 82, 89, 98 p. 363: 69-73 |
11/12 | Optimization |
| p. 374: 6-8, 11-14, 20, 24, 48 |
11/14 | Practice Optimization |
| p. 374: 18, 22, 23, 27, 34, 42, 49 |
| MVT, IVT, EVT |
| MVT, IVT, EVT Worksheet (solutions) |
11/20 | Review Chapter 4 Assign Mathematician Report |
| Sample Test (answers) |
11/22 | Test Chapter 4 |
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12/3 | Riemann Sums (5.2) |
| p. 411: 8-9, 11-12, 15-16, 21, 23, 32-33, 41-42 |
12/5 | The Definite Integral (5.3) |
| p. 428: 10-17, 32, 34, 40-41, 43-53 odd, 58-62, 64-65, 67-68 p. 456: 68-69, 72-73, 76 |
| FTOC |
| p. 455: 58-66, 75-81 odd, 82 p. 506: 17-27 |
12/11 | Review Chapter 5A |
| Sample Test (answers) |
12/13 | Test Chapter 5A |
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12/17 | Mathematician Reports Due |
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12/19 | Review |
| Semester 1 Final Review (answers) |
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| Review |
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1/8 | Review |
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1/10 | Review |
| Sample Final (answers) |
1/14 1/16 | Final Exam |
| Mathematician Reports Due |
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Return to Mr. Rosen's Class Website
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If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Calculus AB exams ...
We now pause at the conclusion of the Calculus 1 material to review the concepts that are found on the AP Calculus AB Examination. Not every topic will be hit, but the majority of them will be covered. The review will consist of 3 days separated by concepts. The first day will cover limits, derivatives, and applications of derivatives.
AP Classroom. AP Classroom is a free and flexible online platform that provides instructional resources for each AP course to support student learning of all course content and skills. AP Classroom r esources, including AP Daily videos, help your students learn and practice all year. Learn about all instructional resources in AP Classroom.
AP Exam Information. Enrolling in AP Calculus comes with the understanding that you will take the AP exam in May. The 2019 test will be given. . May 5, 2020. If you do not plan on taking the AP Exam, we must have a conversation about it first. My goal is for each of you to receive credit by passing the AP Exam. That means we strive for a five!!!
AP Calculus AB - Worksheet 11 Limits - The Difference Quotient/The Squeeze Theorem The only limits to the possibilities in your life tomorrow are the "buts" you use today.- Les Brown For #1-4, find 0 lim x f x x f x 'o x 1. f x x23 2 2. f x x x 4 3. fx 4 x 4. f x x Use the graph of fx fx
Integrals - an Accumulation of Change: Addendum 3 Download. Calculus Review questions are available on the. AP® Calc Review page: click here. (Previously items 49 and 50.) Purchase the Calc AB Solution Manual! Only $99.95 (for download) Full Calc AB Manual in printed form. Only $54.95 (plus $12 shipping)
For both AB and BC courses. This version follows CollegeBoard's Course and Exam Description. It was built for a 45-minute class period that meets every day, so the lessons are shorter than our Calculus Version #2. Version #2. . Covers all topics for the AP Calculus AB exam, but was built for a 90-minute class that meets every other day. This ...
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Unit 5: Analytical Applications of Differentiation. After exploring relationships among the graphs of a function and its derivatives, you'll learn to apply calculus to solve optimization problems. Topics may include: Mean Value Theorem and Extreme Value Theorem. Derivatives and properties of functions.
AP Calculus AB is an introductory college-level calculus course. Students cultivate their understanding of differential and integral calculus through engaging with real-world problems represented graphically, numerically, analytically, and verbally and using definitions and theorems to build arguments and justify conclusions as they explore concepts like change, limits, and the analysis of ...
ap_calculus_ab-bc_exam_2020.docx: File Size: 22 kb: File Type: docx: Download File. ap_calc_schedule.docx: File Size: 11 kb: File Type: docx: ... Homework Help after school in the Media Center on Tuesdays and Thursdays. Powered by Create your own unique website with customizable templates. Get Started.
The AP Calculus Problem Book Publication history: First edition, 2002 Second edition, 2003 Third edition, 2004 Third edition Revised and Corrected, 2005 Fourth edition, 2006, Edited by Amy Lanchester Fourth edition Revised and Corrected, 2007 Fourth edition, Corrected, 2008 This book was produced directly from the author's LATEX files.
Check your knowledge of this course with a 50-question practice test. Ch 1. Functions in AP Calculus: Homework Help Resource. Functions are equations that put one thing in to get another thing out ...
AP® Calculus AB Homework Help. The fast pace of an AP class paired with the difficulty of calculus can make Advanced Placement Calculus AB a real challenge for students. Our tutoring community can help you conquer complex calculus topics. Let us connect you with an expert tutor that knows how to explain asymptotic and unbounded behavior, and ...
AP Calculus AB Summer Packet . This packet is intended to prepare you for by reviewing AP Calculus AB prerequisite algebra and pre-calculus skills and covering the first chapter ... It is due on the first day of school and worth points based on homework completion. At the end of the first week of school, there will be Summer a ...
AP Calculus AB Class Schedule and Homework Assignments * Lesson recordings are from 2020-21, so they may not completely match the lessons from this year. Date. Class Activities. Lesson Recordings* Homework Assignment. 8/21. Policy Sheet. First Day Survey. Linear, Polynomial, and Exponential Functions (1.1, 1.2, 1.5)
Download Packet: https://goo.gl/WYGSii=====AP Calculus AB / IB Math SLUnit 1: Limits and Continuity Lesson 6 Continuity=====...
Prepare for the AP Calculus AB exam with this college-level course that covers topics in single-variable differential and integral calculus. You'll learn from your instructor, as well as from an engaging electronic textbook, videos, interactive lessons, and other online course materials. Along the way, you'll complete challenging homework ...
Calculus in Motion $ Online simulation; instructional videos for students; Provides simulations that help students to "see" Calculus. Provides animations for many concepts in the course, including animations from AP Calculus AB and BC free-response questions. GeoGebra must be on the computer for the animations to work.
Prepare for the AP Calculus AB exam with this college-level course that covers topics in single-variable differential and integral calculus. You'll engage with your instructor and classmates in synchronous virtual meetings and forum discussions, in addition to learning from the electronic textbook, engaging videos, interactive lessons, and other online course materials. You can also schedule ...
We expect AP Calculus AB students to possess a level of independence surrounding their learning and engaging in study habits that . enhance. the "learn how to learn" model which include Engaging in daily reflections on your own learning Exhibiting care, attention, and detail in the completion of every homework problem
AP Calculus AB Summer Assignment Name: _____ Period: _ The purpose of this packet is to both convey to students the foundational skills needed to be ... You will be given a homework grade for completing this packet. Per Servite School policy, if this packet is not turned in on the second day of school, you will receive half credit if it is ...
Bergen Catholic AP Calculus Summer Packet Instructions: • Students entering AP Calculus AB in September, must complete questions #1-60 o There will be three Review Tests at the Start of the School year based on this summer packet Unit 1 (#1-20): 1 st Week Unit 2 (#21-40): 2 nd Week Unit 3 (#41-60): 3 rd Week o Make sure you are taking the Summer Packet questions seriously as you prepare for ...
AP CALCULUS AB SYLLABUS Sections Align to: Calculus for AP, 2nd Edition by R. Larson & P. Battaglia MARKING PERIOD 1 Unit 1: Limits and Their Properties 1.2 - Finding Limits Graphically and Numerically ... Assigning Homework Larson Text Section: 1.5 Pg: 105 - 107 ...
AP Calculus AB Essentials Bundle is a complete set of Guided Notes and Lesson Videos, homework, and daily content quizzes for your AP Calculus AB students. Teachers also have the benefit of full solution sets and the current Topics, Learning Objectives, and Essential Knowledge for the Fall 2019 AP C
the AP Exam and that unit's material may also include content from previous units. Dates will be announced at least one week in advance. Exams may have calculator and no-calculator sections. Quizzes (20%): There will be approximately 7-10 short quizzes. Homework (10%): For nearly every section, there will be a homework assignment. For each ...