Calculus AB (Period 3) Assignments

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As you prepare for the final here are a couple of notes.
 
1.  Roughly The topics that will be on the test and the format of the test.

Unit 1:  Limits & Continuity

 

Evaluate Limits (1B, 1C, 1D, 1E, 2I)

Asymptotes (1A, 1F)

Continuity (1G)

 

Unit 2:  Derivatives

 

Derivative proofs (2A, 2C, 3G)  Using the definition of the derivative

Calculating derivatives (2C, 2E, 2F)

Implicit Differentiation (2G, 2H)

Rate of Change Applications (2B, 2D, 3F)

 

Unit 3:  Applications of Derivatives

 

Differentiability (3A)

Curve Sketching (3B, 3C)  Critical points first and 

Optimization (3D)  Using extrema Min/Max

 


2.  Please look at old posted stuff for you to use to get more practice problems and videos to concepts.

 

3.  I have posted the answers to the Mock AP style test that you have been working on in class.  Remember to take time to review what concept we are testing on!

 

4.  Starting to post the stations for you to practice with

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Okay so here are files that you can use to help you catch up and get harder better faster stronger!
 
In case you didn't write this in your notes try these level problems
  
1)  Graph of f, f', f''  Textbook Chapter 4.3 Page 203 
Level * #1,2,3,4,7,11,19
Level ** #17,21,23,25,27,31,33
 
2)  Trig Derivatives Worksheet solutions
3) AP Style Worksheet with graph of f and f prime with solutions
4)  Worksheet to chart out f and f' critical points
 
I will put up the notes for this chapter on a separate post!

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In an effect to meet your requests after our last reflection here is are a couple of things
0.  You should have finished your worksheets that were given to you in class that modeled AP problems.  They included limits FYI, More Implicit practice, Inverse Trig, and IBE tangent line.  Remember to look at previous homework entries to find corrections to the solutions I gave you in class.
1.  Notes blank and filled in for those of you who were absent due to the assembly
2.  Page 111 # 1-21 odd, 29 are extra problems you can try to do to really hone your skills down.  I have also included solutions that I have done for you to refer to AFTER you finished the problem yourself as best you can.  Good luck.  
 
Overall Textbook pg. 111
Level *     #1-10 
Level **   #11-16
Level ***  #17-22
 
Goal Problem  # 29

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On the Limits FYI I worked out the correct answer but circled it wrong.  Sorry about that, I did it pretty late.  Let that be a lesson to you all that you should get enough rest!
 
#4 A
#6 A
#10 C

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Tuesday Dec 3rd is your Unit two test.  Here are a few files and assignments from the book to help you prepare.  Don't forget to look at past homework for additional files.
 
1.  Make sure to take home your quick checks and unit one assessment from your folder.  The Unit test will be topics from both unit 1 and unit 2
 
2. Textbook Problems Remember to get the solutions from the binder!
 
Trig Inverse Derivatives Textbook Chapter 3.8 Page 162
     Level ** 1-13 odd
     Level *** 13-23 odd
 
Particle Motion Problems Textbook
     Level *   Pg 129  #1,2,3,4,5,9,10,12
     Level **  Pg 129  #14, 23b-c, 24, 25
     Level *** 29, 70 b-d
 
3.  L'Hopital's Rule Worksheet. 
     Level *   #1 - 9 odd
     Level **  #11 - 33 odd
     Level *** #35 - 55 odd
 
4.  Exponential and Logarithmic Der
    #1 - 49 odd Don't do any sinh(x), cosh(x), tanh(x) … etc.
 
5.  Implicit Diff Practice and Key and More Implicit Deriv Practice
 
6.  More Trig Chain Rule Practice
 
7.  Don't forget to work on your defense for Continuity and Derivatives.  Proofs such as the power rule, the derivative, and product rule.

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1.  Please get me the consent form if you have not yet done so.
2.  Here are the worksheets that cover Log Derivatives and Implicit Diff.
 

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Please get the consent form for the survey signed thanks!

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1. Okay here is the file for Average rate of change (2 points) versus Instantaneous rate of change (derivative).

2. Trig Derivatives problems are next.

3. Random solutions to problems.
- Higher order derivatives solutions for problems 25 and 26
- Proof of derivative of sinx

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http://www.youtube.com/watch?v=ThFnvjYYtFw

Here were the Stations and Notes for Chapter 3
Make sure to print out the notes and go through them.
Remember to think about your action plan. You can always spend a few minutes each day going over the notes at least!

Station Topics included and still would need a lot of practice are

Speed, Velocity, Acceleration
Higher Order derivatives
Projectile Motion
Particle Motion

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Are you in the game? Have you been doing homework to get better? It will show!

Here are the texts to read and problems to print out and bring to class tomorrow.

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You have plenty to do! You have a packet in class and here are some more things to help you in Calculus!

First songs!!! http://matheatre.com/lyrics/ctm.php

Part 1 Current Material
Homework
Section 2.4 Pg. 87 # 1 – 11 odd, 19, 23, 25, 29, 32
Chapter 2 Review Exercises Pg. 91 #1 - 18

Also are pdf of the chapter notes

Part 2 fixing Unit 1 "holes" in your understanding so that your understanding will go to infinity and beyond!

Now as the tests are almost done being graded here are a couple of links to address some of the big problems. If you are looking for problems do a google search such as "calculus square root problems." You can watch the video but nothing beats actually doing the problem!!!!

Factoring a^3+b^3
http://www.youtube.com/watch?v=5z7n2nc7EAo&safe=active

Square roots in
http://www.youtube.com/watch?v=WVj284EvgBI&safe=active
http://www.youtube.com/watch?v=nm5OIeRGz-I&safe=active
http://www.youtube.com/watch?v=Scs19b_6VLA&safe=active

Natural log graphs
http://www.youtube.com/watch?v=1cSXvzVVMow&safe=active
http://www.youtube.com/watch?v=9SHqw4PK4XQ&safe=active
http://www.youtube.com/watch?v=xHvI-BkkhC8&safe=active

Cos (a+b) or sin (a+b)
http://www.youtube.com/watch?v=6-R5xBGriEM&safe=active

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Here is the Trig sin cos review
http://www.youtube.com/watch?v=YfcIaUF2JqM&safe=active

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Unit 1 Assessment on Friday get ready.

Here are the answer to the HA worksheet.

I might have assigned these for homework already but here are some problems to practice
I have the binders with the worked out solutions for you to use.

Ch 2.1
page 62
1-32, especially 41 and 42, 43, 44, Level *** 63 ( proof for sinx/x as x goes to zero)

Ch 2.2
page 71
1-8, 17-22, 29-32, 39-42, 49,50,58,60

Ch 2.3
page 80
1-29 odd

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Here is the trig answer key

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Here are the new prob from the other textbook.

Print them out and bring them to class.

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Aside from the notes already posted here is another link

http://www.sosmath.com/calculus/limcon/limcon05/limcon05.html

and I will apologize in advance for this one...
http://www.youtube.com/watch?v=3CDlds0Yz2o&safe=active

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Here is the review pages of what we did in class. Do homework!

Also is here is a good webpage to practice what you know!

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1. Continue to read posted chapter 2 notes

2. Absolute Value Help

Conceptual Help:
Youtube videos
http://www.youtube.com/watch?v=TUPkwGlrT8A&safe=active

Fluency Help:
See attached file

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1) I attached what I wrote on the overheard in all three periods as a pdf.

2) There is a little review of what we did in class today about limits that approach a vertical asymptote as well.

http://www.education.com/study-help/article/horizontal-vertical-asymptotes/

3) Also attached is the notes for 2.3 day 3 and day 4

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Here are some of the answers from the textbook notes homework.
Let me know if you think there is an error and I will try to fix it.

Also I have posted the notes for 2.3

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Here is chapter 2.2 Notes for the textbook blank and filled in copies. Please go through them and find questions you have about it.

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Make sure you bring something to work on in class. Bring questions and what not.

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Here is the answers to the Limits worksheet we went over in class along with more pre calc limits.

Here are the official notes for Chapter 2.1 and 2.2 for the textbook.


Remember the answers to #3 changed because I altered the graph.
3a. correct 3d. 0
3b. correct 3e. 0
3c. correct 3f. 0

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Zeno Joke
Here is the page for the joke and the answer can be found here.


http://mathworld.wolfram.com/ZenosParadoxes.html
Print out Zenos Paradoxes and annotate them (write your observations about the story, do you agree or not with the reasoning.)

Also here are the full answers to the Active Practice we did in class.