Class Codes: Section Name: Code: McDonald. AP Calculus BC Period 7 - McDonald. A4EPYR McDonald. AP Calculus BC. Period 3 - McDonald. 79MVRW
\AP Calculus BC Pacing Guide 2023-2024
1st Semester Week of 8.17.23 (2 days) - AP Classroom Sec 1.1 Day 1 - Sec 1.1 # 1-23 odd Day 2 - Sec 1.1 # 25-34 all, 35-69 odd.
Week of 8.21.23 (4 days)Sec 1.1, Sec 1.2, Sec 1.3 Day 1 - Sec 1.1 Standardized Test questions # 71-76, AP videos..... Day 2 - Sec 1.2 # 1-25 odd., Day 3 - Sec 1.2 # 27-33 odd, 35-38 all, 39-55 odd, Standardized test questions # 59 - 64 Day 4 - SDLMI, Sec 1-3 # 1-23 odd
Week of 8.28.23 (4 days) Sec 1.3, Sec 1.4 Day 1 - SDLMI Sec 1.3 # 1-23 odd, 25-49 odd. Day 2 - Sec 1.3 Standardized Test Questions # 54-59, Sec 1.4 Sec 1.4 # 1-21 odd., Day 3 - Sec 1.4 # 23-37 odd Day 4 -AP Progress Checks and Student Questions. Review
Week of 9.5.23 (3 days)Review/Assessment and Sec 2.1 Day 1 - Review Day 2- Assessment Chapter 1, Read Sec 2.1. Assignment # 1-11 odd, 13-16 all Day 3 - SDLMI Sec 2.1. # 1-11 odd, 13-16 all, 22,24
Week of 9.11.23 (4 days)Sec 2.2, Sec 2.3, Sec 2.4 Day 1 - Sec 2.1 # 17-35 odd, worksheet on determining derivatives from a graph Day 2 - Sec 2.2 #1-35 odd. (17-25 odd, use your calculator for the numerical derivative) Day 3 - Sec 2.3 # 1-21 odd. SDLMI Day 4 - Sec 2.3 # 23-41 odd, Concept Worksheets.2.1 to 2.3 Sec 2.3 Standardized Test Questions # 53-58, Read Sec 2.4 # 19,21 and Watch AP Videos
Week of 9.18.23 (4 days)Sec 2.5 ActivitiesReview /Test Sec 3.1 Day 1 - Quick Quiz for AP Prep Sec 2.4 cont.# 1,3,9,11,13,15,27. SDLMI Day 2 - Standard Question 40-45 Sec 2.5 #1-21 odd, Standardized Questions #44-49, Quick Quiz 1-4 Day 3 - Chapter 2 review # 1-45 odd, AP Daily Videos, and Progress Checks Day 4 - Review
Week of 9.25.23 (4 days) Review /Test andSec 3.1 and Sec 3.2 Day 1 - Chapter 2 Test Read Sec 3.1. 3:1 AP Daily Video 1 and 3:1 AP Daily Video 2 Day 2 - Sec 3.1 # 1,3,7, 9,11,13-23, 25, Day 3 - Sec 3.1 cont. # 27,29,31, 33,37,39,41,43,51, 59, 61, 62 Day 4 - Sec 3.2 # 1-11 odd
Week of 10.2.23 (4 days)Sec.3.2 cont., Sec 3.3 ,Sec 3.4 Day 1 - Sec 3.2 # 13- 23 odd,27,31,33,37, Standardized Test Questions 59-64 Day 2 - Sec 3.3 # 36, watch the videos 1st. AP Classroom 3.3 Daily Videos 1 & 2 assigned. Day 3 - Sec 3.3 # 1-31 odd, 37. Standardized Test # 43-48 Day 4 - AP Practice Week of 10.9.23 (3 days) Sec 3.4 Review/ Assessment Day 1 - Sec 3.4 # 1-38 odd, Day 2 - Sec 3.4 #43 -51 0dd Review Day 3 - Review, and AP Practice End of 1st Quarter
Week of 10.16.23 (3 days) Day 1. Review and Read Sec 4.1 Day 2 Chapter 3 Test AP Progress Checks - assigned: due 10/26 AP Classroom videos - assigned: AP 4.1 Videos 1, 2, and 3. AP 4.2 videos 1 and 2 Day3 Sec 4.1 # 1-29 odd
Week of 10.24.23 (3 days) Day 1 Sec 4.1 cont. # 1-29 odd and 45-50 all. AP Progress Checks - assigned: due 10/26 AP Classroom videos - assigned: AP 4.1 Videos 1, 2, and 3. AP 4.2 videos 1 and 2 Day 2 Sec 4.2 # 1-37 odd Day 3 Sec 4.3 # 1-41 odd, 49
Week of 10.30.23 (4 days) Sec 4.3 cont. # 1-41 odd, 49 and Group activity #45 and 49 Quick Quiz Sec 4.1 to 4.3 on Friday Sec 4.4 # 1-13 odd Sec 4.4 cont. #17,19,23,25 Week of 11.6.23 (4 days) Sec 4.5, Day 1 # 1-13 odd Day 2 # 15-31 odd, 32,35,41 53,55 Sec 4.6 Day 1 # 1-9 odd, 14 Day 2 # 11 - 27 odd. pick one 29-35 Watch the AP videos assigned.
Week of 11.13.23 (4 days) Review Exercises. Chapter 4 Test and (AP practice - Unit 4 and 5 Progress Checks ) Chapter 5 Sec 5.1 # 1-7 odd, 17,19,25. and (AP practice - Unit 4 and 5 Progress Checks ) Week of 11.20.23 (Thanksgiving Break) (AP practice - Progress Checks and Review of material covered)
Week of 11.27.23 (4 days) Sec 5.2 # 1-16 all, 21-51 odd. in class: # 59 -68 Sec 5.3 # 1-7 odd,19-35 odd Quick Quiz. 5.1 to 5.3, Sec 5.4 #1-19 odd, 27-39 odd
Week of 12.4.23 (4 days) Sec 5.4 cont. # 21,23,25,41,43, 47-57 odd and Sec 5.5 #1-11 odd Review suggested practice # 1-6 all, 9,13,15-31 odd, 36b, 40, 41,43,47,56 Chapter 5 Test Final Exam Review
Week of 12.11.23 (4 days) Sec 6.1 #1,3,5. 11,13,15,17,21 and Sec 6.2 # 1-5 odd,17-33 odd Final Exam Review and Day 1 of Final Exam
Week of 12.18.23 1st Semester Final Exam - 3rd Hour 12.18.23 and 7th Hour 12.19.23 End of Semester
2nd Semester
3rd Quarter Week of 1.4.24 Due when you return- Exam 1 on loose leaf from AP booklet - 3rd Hour only Sec 6.1 #29,33, 35-40 all matching - Slope Field Worksheet Sec 6.2 # 33-41 odd, #47-65 odd. Sec 6.3 # 1-13 odd
Week of 1.8.24 Sec 6-3 cont. # 15-31 odd, watch AP 7.5 Daily Videos 1 & 2 Sec 6.4 # 1-21 odd and Eulers Method Sec 6.4 # 23,25,27,31,35,37. ( pick one 42, 44, or 45) Sec 6.5 # 1-21 odd, Exploration 1. AND # 23-35 odd. Exploration 2
Week of 1.16.24 Sec 6.5 # 1-21 odd, Exploration 1. AND # 23-35 odd. Exploration 2 Sec 6.5 cont. Quick Quiz : Sec 6.1 -6.3 and Quick Quiz: Sec 6.4 and 6.5, watch AP 7.5 Daily Video 3 Review and AP Classroom Progress Check
Week of 1.22.24
SDLMI QUESTIONS 1 Snow Day 1.22 Tuesday: Answer Questions and Sec 7.1 # 1-11 odd, 12-16. Wed/Thurs. Chapter 6 Test Friday:Sec 7.1 # 17-27 odd, Standardized Test Questions 37-42 SDLMI QUESTIONS 2
Week of 1.29.24 Sec 7.2 day 1 #1-13 odd, Sec 7.2 day 2 # 15-39 odd Sec 7.3 # 7-17 odd, (in class quick review # 1-10) # 1,3,5,17,19,25 Watch assigned AP videos on Volume Sec 7.3 cont. # 31,22, 53, Exploration 2 and # 63-69 Standardized Test # 71-76 SDLMI QUESTIONS 3&4
Week of 2.5.24 Answer questions on Volume: Standardized Test # 71-76 Sec 7.4 # 1-17 odd, 19,21 and Read Sec 7.5 Sec 7.5 # 1-7 off Review
Week of 2.19.24 Sec 8.2 # 13-51 odd In class - Standardized Test Questions, Sec 8.1 # 49-54. and Sec 8.2 # 62-67, and Answer Question 8.2, Quick Quiz Sec 8.1 and 8.2, Assignment: Sec 8.3 # 1-27 odd, AP classroom videos. Sec 8.3 cont. # 29 - 33, 35-38 and Sec 8.4 # 1-4, SDLMI QUESTIONS 6 Week of 2.26.24 Sec 8.4 # 5-41 odd, Review Chapter 8 Review and SDLMI QUESTIONS 7&8
Week of 3.4.24 Chapter 8 Test Sec 9.1 # 1-6 all, 7-19 odd Sec 9.1 cont. #21-33 odd,. # 54,55,57, 66-71
Spring Break - Due when you return- Exam 1 on loose leaf from AP booklet - 1st semester 7th Hour only. Everyone should complete the Progress Checks assigned in AP CLassroom. DUE March 22. FYI: Please do not write in the booklet. :)
4th Quarter 'Week of 3.18.24 Sec 9.1 - AP Classroom Videos/ AP Practice Questions. Sec 9.2 # 1-11 odd Sec 9.2 cont. # 13-25 odd Sec 9.3 # 1-9 odd, 11,13,19,21. (Consider as extra practice 27-31) SDLMI Check-in
Week of 3.25.24 Sec 9.3 # 1-9 odd, 11,13,19,21. (Consider as extra practice 27-31) Sec 9.4 # 1-11 odd Sec 9.4 cont. # 17, 19, 23, 27, 29 - 41 odd Sec 9.5 # 1,5,11,15,19
Week of 4.1.24 Sec 9.5 # 23- 29 odd, 35-49 odd, 55 Review Review Chapter 9 Test SDLMI Check-in
Week of 4.8.24 Sec 10.1. # 1-21 odd Sec 10.1 cont. # 23-33 odd and Start Sec 10.2 # 1-31 odd Sec 10.2 # 39-47 odd SDLMI Check-in AP Practice Exam 4/12/24
Week of 4.15.24 AP videos on Polar Calculus Sec 10.3 day 1 # 1-27 odd, 33 Sec 10.3 cont. # 39-59 odd Review SDLMI QUESTIONS 9&10
Week of 4.22.24 Chapter 10 Test on Parametrics, Vectors, and Polar 3rd AP Blue Book Exam Due Practice Exams SDLMI QUESTIONS 11&12 SDLMI QUESTIONS 12. GAS - Part 2
AP Daily Videos - watch AP Practice Questions
Week of 4.29.24 AP Calc test. MC no calculator AP Calc test MC calculator AP Calc test Open Ended 1 calculator and 2 no calculator Practice Questions to be completed each day. SDLMI - SDI-SR Week of 5.6.24 - Practice Practice Practice
Week of 5.13.2023 May 13, 2023: AP Calculus BC Exam at 8:00 am Evaluation Celebrate Senior Finals Underclassmen Project Assignment
Lawrence Free State High School AP Calculus BC Course Information Instructor: Annette McDonald – [email protected]
Philosophy: Calculus BC is primarily concerned with developing the students' understanding of the concepts of calculus and providing experience with its methods and applications. Concepts, results, and problems presented in this course are expressed geometrically, numerically, analytically, and verbally. Technology will be used regularly to reinforce the relationships among the multiple representations of functions and to confirm written work, to implement experimentation, and to assist in interpreting results. Unifying themes in the class are functions, graphs and limits, derivatives, integrals, polynomial approximation, and series.
Goals: Students will: ·Be able to work with functions graphically, numerically, analytically, and verbally. ·Understand the meaning of the derivative in terms of a rate of change and local linear approximation and should be able to use derivatives to solve a variety of problems. ·Understand the meaning of the definite integral both as a limit of Riemann sums and as the net accumulation of change and should be able to use integrals to solve a variety of problems. ·Understand the relationship between the derivative and the definite integral as expressed in both parts of the Fundamental Theorem of Calculus. ·Be able to communicate mathematics both orally and in well-written sentences and should be able to explain solutions to problems. ·Be able to model a written description of a physical situation with a function, a differential equation, or an integral. ·Be able to use technology to enhance learning by solving problems, experimenting, interpreting results, and verifying conclusions. ·Be able to determine the reasonableness of solutions, including sign, size, relative accuracy, and units of measurement. ·Develop an appreciation of calculus as a coherent body of knowledge and as a human accomplishment.
Course Expectations: Students enrolling in AP Calculus should be motivated to do college-level work in high school. Students are expected to participate in all activities (including but not limited to: concept exploration activities, graphing calculator activities, presentation of work and projects), complete homework assignments on time, and practice and study daily the topics taught for success on formative and summative assessments. Concept exploration activities and graphing calculator activities are completed collaboratively by students in groups of two or three. Tests will be similar to the AP exam. They will include multiple choice questions and free response questions, which will require students to do work with and without a graphing calculator. Graphing calculators are an integral part of this AP Calculus program. To ensure technological equity on the AP exam, it was decided by the AP Board that graphing calculators would have to meet minimum requirements of four capabilities that must be built into a calculator. They are graphing, equation solving, numerical integration, and numerical derivatives. Students will use their graphing calculators in group activities, on assignments, and on tests to discover concepts, draw conclusions, and confirm solutions. Students will use their calculators on a regular basis so they are comfortable with its varied uses. Individual colleges and universities determine appropriate credit and placement according to their local policies. Students should check to see if the college they are interested in attending gives college credit for AP courses by logging onto [ http://www.collegeboard.com/ap/creditpolicy ]www.collegeboard.com/ap/creditpolicy .
Supplies: Binder, loose-leaf paper, graphing calculator (TI 83 Plus or TI 84: preferred), laptop, pen, pencil. Each student is expected to have his or her own calculator for daily use.
Phone policy: Students cannot learn to their full potential when they are distracted by technology. Therefore, in my class, phones will be put away (i.e.: in a backpack, turned off, or not brought to class). If I see a student's phone, the student will be required to place it on my desk until the end of class.
Prerequisite: Pre-calculus
Grading: Homework is 10% and tests are 90% of your grade. Homework is collected as each section is completed. Partial credit is given until the day of the test. Letter grades will be assigned according to the following scale: A = 90% - 100%B = 80% - 89 % C = 70% - 79% D = 60% - 69%F = 0% - 59%.
Your semester average will be calculated by taking 40% of the 1st Quarter grade, 40% of the 2nd Quarter grade, and 20% of the Semester Exam grade.
Tardy/ Absent Policy: School policy applies.
Textbook: Finney, Demana, Waits, Kennedy. Calculus: Graphical, Numerical, Algebraic. 1st edition: (a revision of the Finney, Thomas, Demana, Waits. Calculus). New Jersey: Person Hall, 2003.
Supplemental Text: Lederman, David. Multiple-Choice & Free-Response Questions in Preparation for the AP Calculus (BC) Examination, 7th Edition. New York, D & S Marketing Systems, Inc., 2012.
Lawrence Free State High School Advanced Placement Calculus BC Course Outline- Pacing Instructor: Annette McDonald
Chapter 0 Prerequisites for Calculus 0 days 0.1 Linear Functions 0.2 Functions and Graphs 0.3 Exponential Functions 0.4 Parametric Equations 0.5 Inverse Functions and Logarithms 0.6 Trigonometric Functions
Chapter 1 Limits and Continuity 12 days 1.1 Rates of Change and Limits 1.2 Limits Involving Infinity 1.3 Continuity 1.4 Rates of Change and Tangent Lines, and Sensitivity Review Exercises/Test
Chapter 2 Derivatives 13 days 2.1 Derivative of a Function 2.2 Differentiability 2.3 Rules for Differentiation 2.4 Velocity and Other Rates of Change 2.5 Derivatives of Trigonometric Functions
Chapter 3.More Derivatives 10 days 3.1 Chain Rule 3.2 Implicit Differentiation 3.3 Derivatives of Inverse Trigonometric Functions 3.4 Derivatives of Exponential and Logarithmic Functions Review Exercises/Test
Chapter 4 Applications of Derivatives 15 days 4.1 Extreme Values of Functions 4.2 Mean Value Theorem 4.3 Connecting f 9 and f 0 with the Graph of f 4.4 Modeling and Optimization 4.5 Linearization (and Newton’s Method optional) 4.6 Related Rates Review Exercises/Test
Chapter 5 The Definite Integral 16 days 5.1 Estimating with Finite Sums 5.2 Definite Integrals 5.3 Definite Integrals and Antiderivatives 5.4 Fundamental Theorem of Calculus 5.5 Trapezoidal Sums Review Exercises/Test
Chapter 6 Differential Equations and Mathematical Modeling 20 days 6.1 Slope Fields and Euler's Method 6.2 Antidifferentiation by Substitution 6.3 Antidifferentiation by Parts 6.4 Exponential Growth and Decay 6.5 Logistic Growth Review Exercises/Test
Chapter 7 Applications of Definite Integrals 15 days 7.1 Accumulation and Net Change 7.2 Areas in the Plane 7.3 Volumes 7.4 Lengths of Curves 7.5 Applications from Science and Statistics Review Exercises/Test
Chapter 8 L’Hôpital’s Rule, Improper Integrals, and Partial Fractions 8 days 8.1 Sequences 8.2 L’Hôpital’s Rule 8.3 Relative Rates of Growth 8.4 Improper Integrals Review Exercises/Test
Chapter 9 Infinite Series 23 days 9.1 Power Series 9.2 Taylor Series 9.3 Taylor’s Theorem 9.4 Radius of Convergence 9.5 Testing Convergence at Endpoints Review Exercises/Test
Chapter 10 Parametric, Vector, and Polar Functions 14 days 10.1 Parametric Equations 10.2 Vectors in Plane 10.3 Polar Functions Review Exercises/Test
This timeline is based on a school year with approximately 160 teaching days before the Advanced Placement exam. This gives approximately 15 days to “review” the course and take practice exams before the AP exam. This review time is essential and 2 weeks is the minimum time set aside for this purpose.