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AP Calculus AB (Period 5) Assignments

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Assignment

Hello in these unique serious times,

To all the parents and students reading this, I know you have had to be very flexible in figuring out technology and adapting to extended periods of time together.  You have also had to give up a lot of stuff socially and I understand that it is unfair and not something you can ever really fully prepare for.  I will do my best to give you the best instruction that I can in hopes to finish this school year with as much normalcy as possible.  This is will be done with the school homework website, the Canvas page, my youtube channel, and zoom sessions.    

With that I wanted to let you know that an outline of what the school day will look like will be posted on the Edlio school homework site as well as the newly created Canvas classes.  Most of the assignments and collection of the work will be done through the Canvas class site which most if not all students should be familiar with.  Notes will be done with pre-made videos that I create and during the school day we will try to do live sessions to address student questions and to go over additional examples.  It is a work in progress and we will try to ease into the flow this first week as I try to learn Canvas and get those videos uploaded.  Thank you in advance for your patience.  

Students please go to the Canvas site and stay up to date on what is expected.  Attached files will outline helpful links for the AP Calculus class about the state of affairs with the AP test and resources to use.

Any questions or comments please feel free to send an email. 

Sincerely,

Mr Dien

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Hello parents and students,

Thank you for your patience and flexibility in this unprecedented time of school dismissal. Culver City High School and the Math Department are dedicated to making sure that during this time of great uncertainty that students are able to continue with their learning remotely with the least amount of disruption to their education as possible.

I will be posting lessons, assignments, and helpful links on this webpage so that students are able to continue to receive lessons, practice assignments, etc., as we progress through this school dismissal. These will include pdf files of the notes and practice as well as videos of myself helping to fill out the notes on youtube (fingers crossed)

Please check the site frequently on school days, as I will be posting assignments periodically throughout the week, as needed.  My “office hours” will also from 2pm to 4pm the week of March 16th-20th, it will be during these office hours that I will be able to communicate with students through email most efficiently and quickly. However, please feel free to email me at any time with clarifications about the lessons, questions on the homework, etc., and I will try to get back to you as soon as I can.

The assessments planned for this week will be postponed until after Spring Break. If the school dismissal continues on after Spring Break, then assessments may have to be administered and students will be responsible for completing the assigned assessments. If that is the case, please check the website regularly for more info about how the exams will be administered.

UPDATE 3/16/20

Lastly for students tests have been entered for Algebra 2 and Calculus Classes.  The quiz in Calculus happened closed to school closure and the overall result is that it didn't really help raise ones grade so it was excluded from this grading period.  It would have been replaced by the CC 5 which will happen sometime after spring break.  The format of the test will depend on whether we are still in school dismissal.  If students have any questions about grades please email me.

 

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3/20/208:38 am Hi sorry for the confusion about turning stuff in the minimum you need to turn is the cross sectional homework.  If you have the rotational volume homework as well all the better.  
 
In the meantime tomorrow Friday from 3:45 pm to 4:45 you can zoom chat with me to check in at the correct time slot really quick and let me know what you need.  If you join the wrong time slot no big deal.
 
Period 1 3:45 - 4:05
Period 3 4:05 - 4:25
Period 5 4:25 - 4:45
 
 
Join Zoom Meeting
https://zoom.us/j/215171304?pwd=TDFtUEZiVjdKUy9yQVZEMUlBbDY5UT09

Meeting ID: 215 171 304
Password: 098927

One tap mobile
,,215171304# US Toll

Dial by your location
         US Toll
        
Meeting ID: 215 171 304
Find your local number: https://zoom.us/u/atZm8n239

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Assignment

3/19/20 4:08 pm.   It looks the youtube live stream is almost ready to go and probably I will give it a shot over spring break and probably afterward.  Remember to turn in your assignment!
 
In the meantime tomorrow Friday from 3:45 pm to 4:45 you can zoom chat with me to check in at the correct time slot really quick and let me know what you need.  If you join the wrong time slot no big deal.
 
Period 1 3:45 - 4:05
Period 3 4:05 - 4:25
Period 5 4:25 - 4:45
 
 
Join Zoom Meeting
https://zoom.us/j/215171304?pwd=TDFtUEZiVjdKUy9yQVZEMUlBbDY5UT09

Meeting ID: 215 171 304
Password: 098927

One tap mobile
,,215171304# US Toll

Dial by your location
         US Toll
        
Meeting ID: 215 171 304
Find your local number: https://zoom.us/u/atZm8n239

Due:

IMG_3483.jpeg

Assignment

3/18/20 11:06 setting up a station to work out how to live stream still waiting on youtube to allow me to do it.  In the meantime I will try to redo some of the videos so that they are easier to follow.  Also starting to setup google classrooms. see attached picture
 
 
3/17/20 11:46am I was able to create some classes in https://fiveable.me/ with some review assignments/videos.  Please sign up for your respective class with the links below.
 
I was able to create some classes in https://fiveable.me/ with some review assignments
 

Calculus Period 1 Fiveables

HOPMPR

https://app.fiveable.me/join-class/bNeTiK9Ty5U5y6IKCsdc

Calculus Period 3 Fiveables

HJKISS

https://app.fiveable.me/join-class/V6HE6ryqvBa7iTDtCiIN

 

Calculus Period 5 Fiveables

PQYPTJ

https://app.fiveable.me/join-class/aq7gFYoYeZKUYmUps2RU

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This page is where you will be able to find the youtube videos I made of the notes and other visual aides.  Remember send emails to me about what concepts you are not getting or if you can't seem to get hard copies of the materials.  My dedicated time to answer emails is 2-4 Monday to Friday but I will answer any email throughout the day. 
 
 
Previous Topics
Videos I found on youtube that can help you review
 
Average Value of a Function (look at homework due march 6th)
 
 
 
Applications of Integrals (look at homework due march 9th.  the bee problem)
    Looking at units and the meaning of integrals in the context of the problem
 
 
 
Area between two curves (look at homework due march 13th)
 
 
 
New Topics
Student Goals for this week:  Goals for this week is to finish the Cross Section Notes and if possible the Volume by Revolution
 
Cross Section
Youtube Video Notes I made for the second to last main topic of calculus Volume of Cross Section pdf of the documents can be found in the attached files along with homework and solutions clearly I am not the next youtube star.
 
Other videos on cross section that is helpful
 
Volume by Revolution
Youtube Video Notes I made for the last main topic of calculus Volume of Rotation pdf of the documents can be found in the attached files along with homework and solutions
 
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3/17/20 3:37pm I have setup a youtube channel and going to test out the ability to live stream in the next day or so.  More updates to follow.
 
3/17/20 9:42am Videos are uploaded to the youtube page.  This page is where you will be able to find the youtube videos I made of the notes and other visual aides.  Remember send emails to me about what concepts you are not getting or if you can't seem to get hard copies of the materials.  My dedicated time to answer emails is 2-4 Monday to Friday but I will answer any email throughout the day. 
 
3/17/20 8:00am Testing Video to share with Calculus Class.  This page is where you will be able to find the youtube videos I made of the notes and other visual aides.  The videos are still uploading so be patient as they will be up shortly.  Remember send emails to me about what concepts you are not getting or if you can't seem to get hard copies of the materials.  My dedicated time to answer emails is 2-4 Monday to Friday but I will answer any email throughout the day.
 

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3/18/20 10:54 Here is a video on how to do hw problem #2 and hopefully it answers the question of the student who sent the email.  As always let me know through email and I will try to get to your question.  It is also uploaded to the mr dien youtube channel
 
 
3/18/20 9:00 Here is a video of how to do example 1 in our cross section notes using the formulas from the first page of the notes.  The reason why I worked it out different is because the page one formulas are nice short cuts to do the basic shapes but really you need to look at the area you are given and find a formula and relate it in terms of the reference length "s" .  So compare the two videos to see if that helps bridge the two ways to reason out the cross section volume.  

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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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Today we covered how interpret the integral in word problems that dealt with different rates of change.  

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Here are the notes we went over these last couple of days that involved applied integrals.  We analyzed units and FTC to better understand what the integral and derivative do in a problem.
 
 

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Today we started to go over how to start to apply FTC using notation and how to navigate CC 3 topics, notation, and graph analysis.  Tomorrow we will start to add a layer of word problems and units.
 

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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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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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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.)  Also by request is a quick review of log properties.
 

Due:

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 Tuesday!
 
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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Here is the review we did over the last two days to help prepare you for the quick check tomorrow.  
Friday we start U-Sub for Integration.  

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Indefinite Integral finding the constant given an initial condition.
 

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Posted here is the notes indefinite integral and the related homework.  Also an additional example to help see the connection between the graphs of g(x) the anti-derivative of f(x).
 
 
 

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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.
 
 
 

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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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Here are the complete notes and homework for related rates. 
 
 
 

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On Friday we will have a short quiz on optimization.  It will be a self quiz so you know where you stand with this topic.  This topic is going to find itself on the final probably in the CC 3 part of the test.  
 
Next week we will start Related Rates and after that we start integration.
 

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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.