Calculus AB (Period 2) Assignments

First round of the finals are on 27 and 28 of May.  Retests are the following around June 4/5th

 

27th will cover Implicit (multiple choice) and Differential Equations and Area/Volume Free response.  BRING A CALCULATOR!

 

28th will be all multiple choice and will cover the rest of the topics.

 

Please refer to what CC's and topics to focus on summary page I gave you in class and the following to help you study.

 

1)  Past homework for review materials

2)  Different CC stations posted here at your convenience.

3)  FRQ 2 practice to focus on the 27th of May Final topics.

 

Let me know what else you need and please make sure to spend some time studying.  The more CC's you do well on the less you have to retest.  Good Luck!

In case you lost your summary of the Calculus Topics and want to know where to focus.

 

 

Here is the textbook we will be using second semester. 

I will update this page with problems as requested.  Otherwise look through the 0) AP Course Outline/Textbook Match file to see a description of what area you want to work on.

 

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.

 

Please note I will be in my classroom from 8 to 12 in the morning on Monday the 23th to help anybody who wants to catch up in their calculus studies.  I can even try to bring doughnuts for the first few people.  =D  The gate will most likely be closed but call 310 842-4200 and dial extension 6127 and I will let you in.  

Ok gang here is your one stop shop for studying Calculus over break.  I have put the following materials for you to study with.  I will put up a full practice test over break for you to try with answers, they will be posted on Saturday March 21 in the morning.  I do have extra copies of the first sample exam if you want to stop by on Monday to pick one up.

0.  Here are the two sample exams.  Please try the first and take notes of what you learned and then try to do second one as if it were a test.

1.  Formula page that puts all of Calc (formulas) into one page, pretty useful to have.

2.  Calculus Flash Cards - Pretty Basic but good

3.  Calculus Final Exam Flashcards  - Harder problems and when you print out the paper make sure you line the back up with the correct page and side.  Each two pages should be back to back.

4.  Derivative Cheat Sheet - self explanatory

5.  When you see this do this answer blank and key.  It is a good study tool to use when trying to understand what the question is asking you do.  Try it out first without any aides and then check your answers to gain the most benefit from it.

 

If there is a desire for me to come in over the break to help kids out I can do that earlier in the break, if I do details will follow.

 

 

Here is the MVT for Derivatives, MVT for integrals (which turns into the average value of a function) chapters and problems.  

On Monday you get the retest any section of the Unit 3 (3 sections total).  You will have around 20 min to do so.  You must retest at least one section and if time permits you may retest more (so the better you know your stuff you can redo more). Which Concept Category you choose will be up to you.  

 

1.  Here is the homework problems for the area between two curves.  Solutions for this are also posted here.   

 

 

2.  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.  

 

 

 

3.  How to use the TI-84 to find the area between two curves

 

 

 

 

Here is the notes that we did in class, in case we went too fast for you and you need another look

 

Also I put up the solutions to the homework given out in class today as well as the questions for people who need it.

Happy Weekend!

 

Okay some of you after the test realize that you need to tighten up your understanding of notation.  Look at your notes and rework them into a new form (rewrite them or create a concept map) to address any weakness you might have.

 

Homework

1.  Read the trapezoidal rule and make sure you know how to do a problem.  If you didn't pick up the notes here they are for you to read.  Also some youtube to help you.

 

2.  Continue to practice separation of variables worksheet.

 

3.  Lastly come to class with one or three questions of what you still need some explanation on so we can start the class answering those.

 

 

 

Unit 3 Test is this Friday so be ready!

 

Here is a summary of the group work that we did over the last few days that spanned  analysis of the graph behavior and FTC 1 and 2 as well as antiderivatives.

 

Also posted is a rough outline of the topics covered on the test

Great Job today adding notes to that picture I posted over the weekend.  Hopefully that will answer a lot of your questions about the connections between g(x) and f(x).  Please try Friday's group work to see if you can answer that again. 

 

Your Test for Unit 3 will be this Friday so start review and ask some questions! 

 

1.  I have posted my notes since we focused on the problems in class.  It has my thought bubbles to help you add thoughts and connections to your examples page.

 

2.  I posted the homework packets that you got in class in case you need them along with the answers.  For those of you who know how to do integrals, start with initial condition problems in part 1.  If you are good with that practice separation of variables in part 2.   

 

3.  This is a good page that gives a summary of the different types of differential equations we have solved thus far throughout the year.

 

 

***Will do this tuesday or wednesday***

4.  Lastly I gave you an example of the trapezoidal rule.  If you need another example look here. 

In class today we created a plan for what you needed to work on this weekend.  You were suppose to write down in the margin what specific things you were going to work on.  Some of you need to spend time going through the notes connecting concepts because it was clear that some of you have not spent enough time on that.  Some of you need to organize all the handouts and work you have.  Make sure you try a variety of the problems assigned and make sure you do something everyday.

 

Those of you who wrote questions on what you were confused about, thank you I was working with another student during peer tutoring and came up with this picture. We will talk more about this in class.  Those of you who were confused but didn't ask a question will need to think about how to articulate a question, its the only way you will start to make connections to fill in your gaps of understanding.

 

1.  In class on thursday I had you guys try to work out the differences between integrals and derivatives before active practice.  Here are the answers from the class problems and includes the solutions to problems you were suppose to do at home.  Make sure that you can not only work through the calculations but understand clearly why each step is allowed and the reasoning for that step to be taken.

 

2.  The solutions to the goal problems are posted here to if part of your plan was to go over the solutions.  

 

3.  Homework and handouts on current material were posted in the old homework assignments.  Please go there if needed.

Here is the packet for substitution please read the section on symmetry to help you discover shortcuts to factoring that could help you have time.

 

 

 

Problems are 

Indefinite Integral U-Sub

Pg. 413 # 3,6,8,13,17,18,19,21,22,23,29,33,36,39,41

 

Definite Integral U-Sub

Pg. 414 # 53,54,55,57,59,60,62,64,69,71

 

Word Problems

Pg. 414 # 79,80,82,85,89 

 

Focus on 18, 21, 29, 39, 69, 79

 

Be ready for your quick check tomorrow.

 

Topics Covered will be 

Derivative Rules

Approximating Area under the curve with RRAM, LRAM, MRAM

Integrals Definite and Indefinite

 

Also if you didn't sign up for the AP bootcamp here is the link

Quick Check on Friday that will cover Indefinite and Definite Integration, and Derivatives.

 

FTC 2 Related Problems

Stewart Chapter 5.4

Recall #21, 23, 25-34, 37  and FTC 2 MC Practice worksheet (the one with limits such as 0 to x^3)

Routine #45, 51-53, 59-65

Non-Routine (actually a routine but for now are NR) #49-50  These are integrating with respect to y

 

Please sign up by Friday for the April 11th (saturday) AP bootcamp, so we can get a head count to get food (lunch is provided!) and figure how many professors we need there to help out.  Please note that it is at Pilgrim High School and not LMU (due to size limits) Here is the link:

 

 

Here are the details

FTC 1 practice problems.  Please put a date on the packet handed out in class so you know which packet of problems is the most current.

Page 348 Power Rule

#4,6,7,12,15,23,31,49

 

Other Antiderivative Problems to try

#10, 16, 17, 20, 21, 28, 34, 35, 46, 50-53, 60, 62, 71 

 

Please review notes and graphs of FTC 1

 

Here is a webpage you might find useful to help explain FTC 1 a little further.

 

 

It also has a few things about FTC 2 which we will learn later this week.

Here are the notes from Friday since you didn't get a lot of time to copy them down.

Here are the Focus problems you should try if you are short on time.  

#5, 8, 23, 34, 38, 52   

 

The Full assignment is here. 

Make sure to get to the non-routine problems and try them out, they are doable don't require as much calculation but more conceptual understanding.

Recall pg. 382  #1-8, 17-20

Routine pg. 383 #21-24

Non-Routine pg. 384 #42-43, 49-53

Area Problems #33-40

1.  HW tonight based on todays notes is to finish the Chapter 5.1 Page 370 problem #13 -18

 

2.  Based on your quick check results please review the chapter 3 problems that address each concept.  I have uploaded the key for the quick check for you to review with.

 

If you had trouble with

Question 1:  Chapter 3 Review Packet Exercise Problems 69-78

 

Question 2:  Chapter 3 Review Packet Exercise Problems 9,14,21,29

 

Question 3:  Chapter 3 Chapter 3 Review Exercise Packet Problems 15,106-108

 

Question 4:  Chapter 3 Review Packet Problems 10,13, 20, 32, 40

See old homework assignments for items you should be working on.  You have a quick check on Monday that will cover derivative rules (implicit, chain, product,etc)

You will not get the whole period.  See old homework for the derivative practice (new textbook chapter 3 review) and solutions.

These where the problems we were working on in class.  Make sure to practice using the calculator when you see the icon next to the problem (like #6)

1.  Approximating Areas

369: #1-2, 3-5, 6-8

 

2.  Finding Exact Areas

 

 

 

Be careful how you write your summation!  Use (b-a)/n and a+i*deltax!

For the AP test in the past usually the numbers are pretty basic and you don't need to add more than 4 rectangles… but you never know for the future!

In the packet that was given to you today I would like you to do the first 4 handwritten problems on the top of the homework packet given to you in class, packet and solutions are attached below.  

 

Remember you don't have to be perfect at the sigma problems but can describe what the n, x sub i, and delta x stand for and apply theorems.

Welcome to Calc boot camp!

1)  Here is the homework list for you to do over the weekend.  If you need the files look at another homework assignment for all the files that you need.