Hello,
The following are lists of the AP topics that will be on the 45 - minute modified AP Calculus BC Exam.
Each "Topic List" will have the Progress Check - Multiple Choice & Free Response Parts Listed Below for you to practice.
Try to do at least 1 TOPIC each day .
After you finish the last "Topic List", I am planning on putting some
sample AP Tests that you can take.
1. Remember - You Got This!
2. My Continuing Goal is for you to do and give YOUR BEST!!!!!!
3. Stay Safe, Establish a Daily Routine, & Breathe!!!
4. I am planning on putting some information on the last unit- Parametric & Polar to help you with your college/university studies, since AP Central is postponing this unit for the AP Exam. (3/22)
The following are lists of the AP topics that will be on the 45 - minute modified AP Calculus BC Exam.
Each "Topic List" will have the Progress Check - Multiple Choice & Free Response Parts Listed Below for you to practice.
Try to do at least 1 TOPIC each day .
After you finish the last "Topic List", I am planning on putting some
sample AP Tests that you can take.
1. Remember - You Got This!
2. My Continuing Goal is for you to do and give YOUR BEST!!!!!!
3. Stay Safe, Establish a Daily Routine, & Breathe!!!
4. I am planning on putting some information on the last unit- Parametric & Polar to help you with your college/university studies, since AP Central is postponing this unit for the AP Exam. (3/22)
Intro to Calculus Topics
Defining Limits & Limit Notation Finding Limit Values from Graphs, Tables, & Algebraic Techniques Squeeze/Sandwich Theorem Multiple Representations of Limits 4 Types of Discontinuity - Jump, Infinite/Vertical Horizontal Asymptotes, Point, and Oscillating Defining Continuity at a Point Continuity over an Interval Removing Continuities - Piece - wise Functions, etc Intermediate Value Theorem (IVT) Properties of Limits Unit 1 - AP Central Progress Check: Multiple Choice - Parts A B C Free Response - Parts A B |
Basic Derivatives
Average & Instantaneous Rates of Change - at a point Derivative Notation Finding the Derivative at a Point Connecting Differentiability and Continuity - When Derivatives Do Not Exist Power Rule Basic Rules - Sum, Difference, & Constants Trig Derivatives - all 6 trig functions ln x and e^x Derivatives Product & Quotient Rule Unit 2 - AP Central Progress Check: Multiple Choice - Parts A B Free Response - Parts A B |
More Derivatives
Chain Rule Implicit Differentiation Inverse Function Derivatives Trig Inverse Function Derivatives Higher Order Derivatives Unit 3 - AP Central Progress Check: Multiple Choice - Part A Free Response - Parts A B |
Derivatives
Interpreting the Meaning of Derivatives - "Explain in words" Straight Line Motion - Position, Velocity, Acceleration, & Speed Rate of Change Related Rates Linearity & Linearization L'Hospital's Rule Indeterminate Forms "The Many Faces of e Unit 4 - AP Central Progress Check: Multiple Choice - Part A Free Response - Parts A B |
Derivative Techniques
Mean Value Theorem - Derivatives Extreme Values - Global, Local, & Critical Points 1st Derivative Test - Integrals of Increasing & Decreasing, Determine Relative/Local & Absolute/Global Extrema 2nd Derivative Test - Concavity & Point(s) of Inflection Curve Sketching from 1st & 2nd Derivative Tests Curve Sketching - forwards and backwards - f(x), f'(x), & f''(x) graphs Analyzing 1st & 2nd Derivative Information Optimization Word Problems Implicit Derivatives Unit 5 - AP Central Progress Check: Multiple Choice - Parts A B C Free Response - Parts A B |
Pre-Integrals and Integrals
Accumulations of Change Riemann Sums Summation Notation Definite Integral Notation FTC - Part 1 & Part 2 Interpreting Behaviors of Area Definite & Indefinite Integrals Rules of Integration Men Value Theorem - Integrals U - Sub Method Long Division & Completing the Square Methods Integration By Parts Partial Fractions Improper Integrals Selecting Best Techniques/Methods for a mixture of Integrals Unit 6 - AP Central Progress Check: Multiple Choice - Parts A B C Free Response - Parts A B |
Differential Topics
Modeling & Verifying Differential Equations Slope Fields Euler's Method Separation of Variables - finding y Exponential Models Logistic Growth Unit 7 - AP Central Progress Check: Multiple Choice - Parts A B Free Response - Parts A B |
Area, Volume, Average Value, Arc Length, and possibly Surface Area
Average Value Position, Velocity, & Acceleration Applying Integral Concepts Area Between Curves - "pancakes" & "columns" Area Curves with more than one set-up Cross Sectional Volume - triangles, semi-circles Volume - DIsk Method - x-axis, y-axis, and rotated about lines Volume - Washer Method - x-axis, y-axis, and rotated about lines Arc Length, Distance, & (Surface Area) Unit 8 - AP Central Progress Check: Multiple Choice - Parts A B Free Response - Parts A B |
Series
Series Tests, Taylor/Maclaurin Series, and little bit of Power Series Unit 10 - AP Central Progress Check: Multiple Choice - Parts A B C Free Response - Parts A B C |
McGraw Hill Publishing Company has just released some practice work for AP Calculus AB topics - click on the link & follow the instructions.
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Hello,
My goal is for you to stay safe, take care of yourself, and others around you!
The situations that we are currently in are NEW to everyone. Each day, I learn more and more about how we are going to proceed. One of the reports that I received said, "All Schools will be receiving additional information in the coming days" as to how we are to proceed with learning. As I learn new and more information, I will share it with you. I have been attending various Local and National Webinars since last Friday on the expectations of teachers, the expectations for students, various ways to virtually/digitally communicate, various platforms for digital learning, and etc. The assignments that I posted on the Schedule Link are to give you something to do when you need something to do. I will update my website on Wednesday and Friday of each week while we are out. (This will give me time to summarize all of the information that I receive to assist with keeping you informed.)
Breathe In - Breathe Out - Stay Safe - We are in this TOGETHER!
My goal is for you to stay safe, take care of yourself, and others around you!
The situations that we are currently in are NEW to everyone. Each day, I learn more and more about how we are going to proceed. One of the reports that I received said, "All Schools will be receiving additional information in the coming days" as to how we are to proceed with learning. As I learn new and more information, I will share it with you. I have been attending various Local and National Webinars since last Friday on the expectations of teachers, the expectations for students, various ways to virtually/digitally communicate, various platforms for digital learning, and etc. The assignments that I posted on the Schedule Link are to give you something to do when you need something to do. I will update my website on Wednesday and Friday of each week while we are out. (This will give me time to summarize all of the information that I receive to assist with keeping you informed.)
Breathe In - Breathe Out - Stay Safe - We are in this TOGETHER!
ap calculus bc for march 16th - march 20th
Breathe!
March 16th - Mon - Taylor & Maclaurin Series
1. Go to Google Classroom to view and take notes on the Taylor and Maclaurin Series Methods. 2.Watch the HW Online wideo from my Unit 3 Website - HW 2, HW 3a, and HW 3b and take notes. 3. Take the following Practice Quiz. 4. HW - See Worksheet Packet |
March 17th - Tues - More Information on Taylor and Maclaurin Series
1. Login ck12.org. The class code is 9dths. 2. Read and Complete the "Taylor and Maclaurin Polynomial" Activities. 3. HW - AP Central Progress Check #7A. |
March 18th - Wed - Alternating and Remainder Error Methods
1. Login to ck12.org. 2. Read and Complete the "Maclaurin Series Truncation Error" Acticities. 3. HW - AP Central Progress Check #10A |
March 19th - Thurs - Review - Part 1
1. Take notes on the Review of Taylor Series. 2. Take notes on the Error Power Point located in Google Classroom. 3. HW - Login to ck12.org & do "Series Multiplication of Power Series" Activities. |
March 20th - Fri - Review - Part 2
1. Watch HW Online Videos # 4abc on my Unit 3 website. 2. Do the HW on Series Error located in your worksheet packet. 3. HW - Login to ck12.org & do "Power Series and Convergence" Activities. |