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AP Calculus AB (Period 1) Assignments

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Here is the information about AP registration dates and payment
 
 

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These are the defense/error analysis that need to be done for each CC before you are allowed to retest each CC.  Print out which ones you need and complete the packet to turn in the day of the final.  

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As requested here is the full solutions to the CC3 Practice Test.  Remember to use the class password

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Posted here is the last part of the CC 3 Notes and Curve Sketching Practice 2
and the keys to the homework.
 
Also posted is the checklist for the defense of CC 2 which will be due Dec 2nd
 

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On Thursday we went over basic calculator skills you will need to have for this class and the AP test.
 
Attached here:
1.  A key to the practice from yesterday
2.  Basic Calculator skills you will need
 
On Dec 2nd the CC 2 Defense is due.  If you need another packet look to previous homework posts.
 
How to use the TI Calculator
     How to use Y-Vars (to evaluate functions)
     How to store values into letters
     How to find the zeros of a function
 

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Friday Nov 8th, Tuesday Nov 13th, and Wednesday Nov 14th we started CC 3 for calculus with a basic lesson on the meaning of position
 
Attached here is the homework and notes
 

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Here is the worked out versions of the tangent line worksheet we did in class today. 
 

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Updated Nov 7th
 
Added full quick check solutions for CC 2.  Remember to try the problems yourself before you look at the answers.
 
Also posted is the worksheet of how to look at whether to use product rule, quotient rule, and chain.
 
 
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Upcoming Tests
Nov 6th CC 2 Quick Check
Nov 14 or 15 CC 2 Mastery Check
Dec 3 CC 3 Mastery Check
 
Finals Schedule
CC 1 Final Dec 9th
CC 2 Final Dec 10th
CC 3 Final Dec 12th
Retakes for CC1 - CC3 during final exam schedule depending on your period. 
Dec 18th-20th
 
Posted here
 
1.  Implicit Derivative Notes and homework assignment.  Answers are in the password protected files.
 
2.  The warmup we did to review chain rule and finding tangent lines.
 

 

Active Practice Implicit Derivative (In our textbook chapter 3.5) Page 215-217

Concept #1-4, #23-24  Do one to two problems from each # group

Procedural #5-22 except 17, #23-28, #35-38 Do two to three problems from each group

Problem Solving #44,75,76,80

 

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Happy Monday Nov 4th.  
 
Posted here is the notes for derivatives of e^x and ln(x) along with the practice and key.
 
Also posted here is the CC2 Study guide to help you prepare for the mastery check.
 
 
 
 

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1.)  Posted here are the notes and active practice for chain rule.  Hopefully you got to have a lot of your questions answered.  For the problems in the textbook try to check you work the the full solutions posted here and use the password given in class to open it.
 
2.)  Here are some videos to help 
 
 

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So here is a big post to catch up with all that we did in class over this last week. 
 
 
1. Notes on Product Quotient and Trig derivatives.
2. Product Quotient and Trig derivatives homework and key
 
 
If you are having trouble here is a good way to catch up.  She is very clear in how she explains and I hope it helps!
Krista King

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On Friday practiced the product, quotient, and trig derivatives via group work.  We used what we learned to help create tangent line equations.  Here is that work.  

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So we just learned some basic rules/shortcuts for derivatives.  Before we learn more shortcuts we are doing to study what it means for a function to be differentiable.  
 

 

CC2 Active Practice Differentiability and Continuity                                   

Stewart & Leithold Texts

Concept

Stewart Text: pg. 163 #41-44

Leithold Text (attached page of problems):  Please read directions carefully!

  1. 126 #21-26 and pg. 126 #27-30

 

Procedures:

Leithold Text:  pg. 125 #1, 3, 4, 5,11, 16, 19

Problem Solving/Communicating Reasoning

Stewart Text: pg. 164 #58, 59, 63, 65

Leithold Text: pg. 127 #33, 35, 36

Please do the following 6 problems by yourself on separate sheets of paper as a model card (in other words annotate steps and make connections.  If you get stuck that is okay please summarize what you were able to do and understand (i.e. were you able to create a visual and make connections to other concepts?)

Concept

Stewart Text: pg. 163 #44

Leithold Text (attached page of problems):  pg. 126 #25

 

Procedures:

Leithold Text:  pg. 125 #16, 20

 

Problem Solving/Communicating Reasoning

Stewart Text: pg. 164 #65

Leithold Text (attached page of problems):  pg. 127 #36

 

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So for the last two days we went over the power rule to help us shorten the work needed to explore the derivative more conceptually.  Here is the notes and the home work.
 
 
Concept of a Derivative
 
Power Rule

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Retake for CC1 Mastery Check is on Monday.  Here is the defense that needs to be turned in on Monday to be able to take the test.
 
 

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Today we started to go over the concept of the derivative, in concept, visually, and analytically.  
 
Here are the notes and eventually the work connected with this work will follow in a future post.  
 
If what we talked about is a little too much here is a good summary to watch
 

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1) Posted here is the notes and answers to the limits of a composition part of CC 1.
 
Here are some videos to help if needed
 
 
Your CC1 Mastery Check is this Thursday.  Study and be Awesome!

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The Mastery Check will be moved from Monday to Thursday the 3rd of October.
 
 
 
Please have these IVT notes ready by Wednesday.
 
IVT problems are found in the same pages as continuity in our textbook, namely Chapter 2.5 page 124-125 please look at previous posts for the full solutions pdf file.
 

Try Problems 50,51,52,53,59,60 

 

 
 

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Continuity
Here are the problems to do from continuity
Page 124-125  Please try 3-4 problems from each section
 
#1-7
#17-24
#37-43
#44-47
 
Also posted are the notes for continuity as well as the college board worksheet on continuity
 

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1.  The next set of notes pertain to the squeeze theorem are posted here along with the worksheet and answers.  
2.  Continue to plan out and review old topics that you struggled with.   It has how to do a concept map and what additional detail you need to add when you work out problems.
 

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Here you will find the next set of notes, how to solve trig limits.
 
Worksheet:  Deals with indeterminate trig limits
Textbook:  Finding all types of limits with trig components
 
If you are struggling and not coming to see me or peers for help and not doing anything at home, things need to change... now.  YOU CAN DO IT!
 
 
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1.)  Here are the Trig Limit notes
2.)  Here is the worksheet we worked on in class that deals with trig limits and the answers.  
3.)  Here are the problems from the textbook that cover trig limits

 

Textbook pg 92-94 #12,25, 30, 37-39

 4.)  Graphing Calculator Help

https://www.youtube.com/watch?v=kN9NgVAzmaI

http://mathbits.com/MathBits/TISection/Openpage.htm   This one is the best.

 

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Quick Check will be probably this coming Wednesday
Notes are posted below.  
 
There are two problem sets you need to work on.  The first is how to find limits when holes are involved and the other set is for limits that involve infinity in many ways.  You don't have to do all the problems but make sure you do a variety of problems.  
 

For problems involving algebraic techniques (factoring, using the conjugate, etc.) Chapter 2.3          
            Problems 11,15,18,19,20,24,26,27,29,30,41,42,44,45,46,49,50,51,52,56,62,64,65

 

For problems involving infinite limits and limits at infinity Chapter 2.6: Please try to do at least 3-4 problems from each group of problems so that you experience the scope of the type of questions, concepts, and skills you need to strengthen.  Please make sure that you summarize your learning after each group of problems.    

 

Group 1 #17-21, Group 2 #22-29, Group 3#32-34, 36-39, Group 4 #45-52, 55, Group 5 #57-59,68

 

You will need to create a model card for #52 and #45 or #68 (Separate piece of paper fully annotated)

 

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Here are the answers to the worksheets we did on Friday.  They involved limits of Horizontal and Vertical Asymptotes and the definition of a limit at a specific x-value.  Remember to use your class password to open the file.

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Here are the Algebra 2 and AP Calculus AB syllabii, in case you need a new one.

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Here are the next set of notes that get us into the first topic of Calculus... Limits!!
 
Here are some websites that you can use to help you review some basics of what you need for Calc. 
 
A good site to learn how to do a problem but not really learn they why it works.  Its still a good site to walk through typical calculus problems.  
 
 
 
This is the general page and the two video sections to look into are
 
"Foundations of Calculus"
"Limits and Continuity"
 
After you click on the group of videos look at the title for the topic you need help in.
FYI the limits and continuity is where we are going in our notes near of the end of the week.
 
3.  https://www.youtube.com/user/Mathbyfives an interesting site it has solid material but in a slightly different but entertaining way.
 
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So your first active practice is on limits.
 
We are in chapter 2  
Read Chapter 2.2 from page 83-91
 
Problems remember range from 
No Evidence  ==>  Some Evidence  ==>  Good Evidence
 
Page 92-94 #1, 2, 3, 5, 7, 10, 11, 12, 13, 15-18, 20, 21, 47, 54, 55
 

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Okay to today we finished our notes on the basics of limits.  We started to practice some basic problems and here is the answer key for that.  Please have these problems done by Tuesday.  As you learn and understand things better add things to your notes!
 

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Here are the notes for the summer review.
 

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Unit Circle Review:  If you need more help then the review we did, here is a useful webpage with more tips.  https://blog.prepscholar.com/unit-circle-chart-radians-degrees
 
 

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Here is the answer to the summer work.  Even though it say 2018-2019 it should be the same for this year.  Please use it to help you figure out what you had trouble with.  The next day or two we will start a brief review before we get into Calculus topics.