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AP Calculus AB (Period 4) Assignments

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Past Assignments

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Assignment

Here is the 2nd page where you can find resources to help you prepare to review for the test. 

 

  1. "AP Calc AB in One Page" - should have all the formulas we covered in class.
  2. "Calc Terms AB BC Review When you see this do this" - This is good practice to help you better understand the directions of an AP problem and what to do.

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Table Analysis FRQ TIPS pt 1.JPG DFQ FRQ TIPS.JPG Table Analysis FRQ TIPS pt 2.JPG Analyze Graph FRQ TIPS.JPG

Assignment

AP Prep.
 
As we head into spring break and prepping for the AP test, here are the stations for you to practice with.  Also posted are the notes for the different types of FRQs we went over in class in case you were absent.
 
Here is a link to access past AP Free Response Questions (FRQs) http://apcentral.collegeboard.com/apc/members/exam/exam_information/232050.html
We will do some in class so you get a feel for the scoring.

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Assignment

Here is the 3rd set of review materials which are mostly useful youtube links from Krista King who has a good website that has a whole Calculus series you might find helpful.  The last link is how to use your TI calculator.  

Here is the link to the Calculus section

     https://www.youtube.com/channel/UCUDlvPp1MlnegYXOXzj7DEQ

Optimization

     https://www.youtube.com/watch?v=mamH094uw_U

Area between two curves

     With respect to x

     https://www.youtube.com/watch?v=7lrn-8FiTW0

     With respect to y

     https://www.youtube.com/watch?v=fGvSy6U209Y

 

Using a calculator to find the area between two curves. Its shows some pretty cool shortcuts!

     https://www.youtube.com/watch?v=34fHbo3z1ZI

 

   Which function is on the top?

     https://www.youtube.com/watch?v=2j38_za6ztc

 

Differential Equations (Separable Differential Equations)

     https://www.youtube.com/watch?v=hsTfC1Wmxqc&list=PLJ8OrXpbC-BO2zEW58TpHHakh5nodn3-i

 

 

Integration Volume: Cross Section Notes

     https://www.youtube.com/watch?v=YlypEudT10U

 

Integration Volume: Revolution:

     https://www.youtube.com/watch?v=BvfGFp1tIDg&index=13&list=PLJ8OrXpbC-BMz4irMey8DcJe_iiXgA9aI

 

     https://www.youtube.com/watch?v=zHi1qtf4pGg&index=17&list=PLJ8OrXpbC-BMz4irMey8DcJe_iiXgA9aI

 

Also here is a link if you need some help finding a definite integral via your calculator.  If you don't have an TI-84 just do a quick youtube search with definite integral and your calculator model.  

     https://www.youtube.com/watch?v=AuC1jw_iQJQ&safe=active

 

 

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Assignment

Here are the notes homework and key for Volumes by revolving areas.  
 
I will try to set a date for the Saturday the 13th of April to do our mock AP test.
 
Also Posted are the topics for the final!
 
 
 
 

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Assignment

Here are the notes homework and key to volume integration: cross section.
 
Also if you want to hear about cross section again here are some youtube videos that I found helpful

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Assignment

Today we covered how to find the area between two curves. 
 
Highlights include but not limited to:
a.  How to find the intersection of two graphs using a calculator 
b.  How to integrate with respect to y
 
Posted here are the notes blank and filled as well as the homework with solutions.
 

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Assignment

Today we went over how the integral can be used as an accumulator and unit analysis to find out what the integral means in the context of real world problems.  
 
Posted here are the notes, homework and solutions.  
 
See me if you have any questions!

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Assignment

Here are the u-sub notes homework and key.  Also note there are alternative ways of doing some of the trig u-sub problems so if you get stuck on way do it the other way!
 
 
 

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Assignment

Here is an outline of what to expect on Thursdays test.

CC 4.  Concept of an Integral

A.  Riemann Sum and Area Approximation

                   1.  Perform LRAM, RRAM, MRAM, and Trapezoid

                   2.  Using data tables and graphs

                   3.  Basic Understanding of Sigma Notation

B.  Indefinite integration (including U-Sub)

                   1.  Solving an integral and interpret what the integral means. 

C.  Slope Fields

D.  Separable Differential Equations

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Assignment

Here is the notes/examples for FTC 1 as well as the practice of what to expect on the AP test.  
 
Here are two videos that might help if you were absent in class.  Remember to come see me for help as well!!
 
 
 

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Assignment

1.  Here is the notes for 
FTC Part 2 definite integration
 
And the practice for
 
2.  Definite Integration Practice with Key
3.  Integral Properties 
 
 

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Assignment

1.)  Posted here is the timeline for the rest of the topics left for Calculus AB.  Note we plan to finish everything except inverse function and inverse trig topics after we get back from break.
 
2.)  Separable Differential Equations notes homework and solutions are posted here as well.
 
AP style differential equation problem
 
3.) For slope fields if you are still confused about it here is a good video explaining how to do it.
 4.) Your Test on CC4 material will be on Thursday Feb 21st.  

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Assignment

Today we covered slopefields and you were assigned the homework.  Here are the answers and annotated notes we took in class.
 
Please note that you might not be able to do all of the parts to problems 17 and 18 just yet.  I put the answers if you want to try to figure it out but we will be starting that discussion in the second half of tomorrows class.
 
In the meantime I created a problem 19 that you should be able to do and have posted the answers for this new problem as well.  Study hard!
 
Here is another video to summarize what we did in class
 
 
If you want to see a slope field generator here is what desmos has so you can check your work as well.  
 

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Assignment

Note the due date because we are moving onto a new topic on Monday!
 
1.  Indefinite Integration U-Sub Notes
2.  Additional Model card of how to do u-sub with notation only and the example we went over in class but with thought bubbles and more explanation of the steps taken.  
 
3.  Indefinite Integration U-Sub Homework
Part b. is trying to see if you can correctly pick the term to u-sub with.
Part c. is the full solutions to the problem
 
     a.  Indefinite Integral U-Sub HW.pdf
     b.  Indefinite Integral U-Sub HW What to USUB Key.pdf
     c.  Indefinite Integral HW U-Sub Key.pdf
 
 
Video if you want to see a problem in action
 
 

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Assignment

Indefinite Integral finding the constant given an initial condition.
 

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Assignment

Tuesday (tomorrow) will be your quick check on summation and the indefinite integral.  
Posted here is the notes indefinite integral and the related homework.  
 
 
 

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Assignment

These last couple of days we have gone over the concept of approximating the area under a curve and transitioning to finding the exact area.  We are still focused on notation and conceptual understanding and soon we will move to finding the areas of functions that are not lines or related to circles.
 
Our assessment on this material will be on Tuesday.
 

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Assignment

Here is the next set of notes that deal with approximating area.  Homework is posted here for approximating area as well.  
 
 

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Assignment

Here is the competition information that I told you about in class that related to the Linguistics Competition.  
 
The North American Computational Linguistics Olympiad (NACLO). NACLO is an annual pencil and paper contest in which students use analytical skills to solve puzzles in languages that they do not know. In the course of solving the puzzles, students learn something about the structure of human languages and how computers can process them. The contest introduces students to possible careers in linguistics, languages, and computer science.
 
There are no registration fees to enter NACLO and we provide parking and waiting areas for parent chaperones (with coffee/water/wifi). The exam is Thursday, January 24, from 9 am until noon at USC's Information Sciences Institute in Marina del Rey (note: not on USC's main campus). We ask participants to arrive at 8:30 so we get prepared to start at 9. Registration is at nacloweb.org
 
Students who do well in the first round will be invited back to the second round in March, where the problems will be more difficult. The top students from the second round will be invited to the international competition in South Korea later this year.
 
So if this interests you sign up!!!
 
 
 

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Assignment

Here are the complete notes and homework for related rates. 
 
 
 

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Assignment

This week we are covering optimization.  You got the notes for optimization in class and here is the full notes and answers to the homework.
 
Also posted here are the answers to the group problem you did in class.  
 
Here is some videos to help you understand the concept.  

Due:

Assignment

Here are the answers to the implicit derivative worksheets.