Calculus AB (Period 1) Assignments

On Dec 7th you got a practice CC3 exam so you know what types of problems to expect for 

 

 

Finals are the week of Dec 11th to Dec14th.  The schedule has been modified from the calendar I gave you due to student request and preference.  Please do you best not to be absent as it will delay other students getting their results back in a timely manner.

 

Dec 11th Curve Sketching (applies derivatives)

Dec 12th Limits and Continuity

Dec 13th Derivatives and Differentiability

Dec 14th Rates of Change.  (calculator active)

 

What type of work that will be needed to retest will be presented next week in class.

 

Retests will happen the following week during normal final periods 

We finished up our notes for Curve Sketching and now is the time to plan and execute our practice.

 

 

1.  In addition to the previous two homework sets (One six problem worksheet, and the other was textbook problems from chapter 4.1 - see previous homework assignments)  We have two new sets:  One that covers analyzing functions in graphical form using derivative rules to analyzing increasing and decreasing, negative and positive, and min and max.  The second set is mostly from the textbook, covers the same concepts but in a data table format or equation format. Students need experience both.  Solutions to all problems and textbook problems are also found here.

 

2.  Also attached is the last page of notes for this topic.

 

Please check your answers to make sure you are learning the concepts correctly and work hard!

Next week begins your finals starting with CC3 on Monday.

 

Tomorrow we will finish up the rest of the notes on curve sketching with the second derivative.  The rest of the week will help to solidify the concepts in CC3 and give you some calculator practice.  

 

Posted here are the notes from today and tomorrow and the two active practices I gave you last week with solutions.  Please use them to help you check your answers.  Also please check your answers from the textbook!

 

Critical Points

Function Incr/Decr

Find Max and Min first derivative test

Find Max and Min second derivative test

EVT like example

Concavity

 

 

So big update.  We have finished all the derivative rules we need for Calculus AB

 

1 . Here are the notes we have done the last couple of weeks, Trigonometry, Chain, Implicit and Log/Exponential Derivatives

 

2.  Here is the Calendar and outline of what the final will entail.  Please look it over so you can prepare fully for it and not wait till the last moment because it will not work.  

 

3.  In addition to the Calendar you were suppose to turn in a model card for each problem you got partially correct or wrong on the CC2 quick check and it is due this tuesday before break.  I have posted the answers if you need some help but you really need to annotate the problems in such a way that you understand the concept.

 

4. 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

 

Log Derivatives Textbook Page 223

Page 223

2-12, 19  Recall

23-26, 31-34 Routine

43, 45, 47, 52, 54 Non-Routine

 

Focus on problems 19,27,33,43,45,52

Solutions to the text book are posted here.

 

 

 

 

 

1.)  Posted here are the notes and active practice for chain rule.  Try to get as much questions answered tomorrow and try the active problems because after break we are moving on to our next derivative rule.  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 

 

https://www.youtube.com/watch?v=ejlEXzNAgqk    <= jump to minute 8

 

4.)  Lastly here is the list of what I will be checking for on Tuesday from each of you.  It is the something that I hope will keep you on track to prepare for the finals and do well.  

Trigonometric Derivatives

Stewart Text pg. 196-197

Concept

#18, #19, #20

Procedures

#21-24

#25-28

Problem Solving/Communicate Reasoning

#36, #37

Trig Limit Practice:

#39-50

 

 1.)  Rates of Change Notes and Active Practice Problems:  You will have tomorrow to try these problems out and on Thursday we are moving on to the next topic in CC 2 Trig derivatives.  

 

Active Practice: Rates of Change

Stewart Text

Concept

Pg. 150 #47, 49, 50, 52, 53, 57, 58

Pg. 161 #13, 15

Procedures (10 minutes)

Pg. 163 #36, 37, 38, 39

Problem Solving/Communicate Reasoning (5 minutes)

Pg 189 #59, 60

 

Thursday and Friday we did our notes on rectilinear motion.  I have posted the notes and examples here for you to review.  Also posted are the notes from class today and the answers to the example we started in class that are part of the notes.

 

Also posted here are the answers to the motion worksheet.

Monday the 6th you will have a quick check on CC2 (up to differentiability and continuity, no position/velocity/acceleration problems)

 

Tuesday/Wednesday you were given Active Practice on Differentiability and Continuity which is posted here.  It comes from our blue textbook Stewart and scanned pages from the Leithold Textbook.  

 

Stewart (Ch2 and Ch3 PDFs) & Leithold Texts solutions (Differentiability Problems and the six problems you should do on your own) are posted here

 

Concept

Stewart Text: pg. 163 #41-44

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

pg. 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

 

Welcome back from Thanksgiving break!  It took me awhile to get sorted but here are:

 

1.  Notes, problems and key for L'Hopitals

     Youtube video to help if you are still confused

     https://www.youtube.com/watch?v=uhxGH7OhrIM

2.  CC3 Notes Part 1 Curve Sketching.

Today the sub let you work on the derivative and tangent line packet.  The problems you chose should be done.  

 

If you are done with the packet there are similar questions in our textbbook.

 

Stewart Text (our textbook)

Pg. 188

Procedural #3-34 all, 41

Problem Solving and Communicate reasoning #42-55, 59-60

 

So here is what we have covered so far in terms of Derivatives.

 

1 . Limit Definition of a Derivative, and the concept that the derivative is a slope finder

2 . Power Rule, Sum and Difference, and Constant Derivatives

3 . Product Rule, Quotient Rule, and e^x Derivatives

4 . How to find tangent lines and normal lines to a curve at a specific x value

5 . How to find the derivative and graph it on the TI calculator

 

I have upload the Product Rule, Quotient Rule, and e^x Derivatives, the practice and key to the practice here.

We are moving onto our second round of derivative shortcuts so here are part 1 notes and the power rule problem worksheet we did.

 

Bring your calculators to class next week.

 

 

 

Here are the CC2 Derivatives Notes Part 1

CC2 Active Practice Derivatives and Rates of Change

 

Stewart Text: pg. 148-151

Concept

#9-12, #17, #18, #19, #24-27

Procedures

#37-42

Problem Solving 

#47, #50, #57, #58, #59

Here is the error analysis we did in class to help you go through your test and help you deepen your understanding and fill in any conceptual gaps you might have.  On the back of the page is something you can use to help you get unstuck at different phases of the problem solving process.

 

Monday we start Chapter 3 in our textbook: Derivatives

 

 

1.  Today in class we covered Intermediate Value Theorem.  I have posted notes for this in class however I would say try to watch a video on it as having someone talk about is easier to understand that the definition in the textbook.

 

IVT problems are found in the same pages as continuity in our textbook, namely pages 124-125 please look at previous posts for the full solutions pdf file.

 

Try Problems 50,51,52,53,59,60 (section 2.5)

 

 

 

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.

 

1.) We went over the squeeze theorem today here is the worksheet and answers as well as the notes.

2.) Continue to plan out and review old topics that you struggled with.  The action plan page is that you got in class is also attached.  It has how to do a concept map and what additional detail you need to add when you work out problems.

 

Prepare for tomorrow quick check.  Look at old homework posts for homework, solutions and notes to help you study.

Tomorrow please turn in the model card for Chapter 2.6 Problem #52.  You are suppose to find the Horizontal and Vertical Asymptotes to the function 2e^x/(e^x-5).  The answers are H.A. y= 2 (right end) and 0 (left end).  Vertical Asymptotes is x=ln(5). 

 

The model card that is due, is in ADDITION to what you are doing in to prepare for the quick check on Friday.  

 

 

Here are the directions again for the model card.  

 

Create model cards for different types of problems within a concept category

Quick Check will be probably this Friday or next Monday.  Please bring your calculator to class on Wednesday.

 

Notes are posted below.  

 

Limits at Infinity

Page 138-139

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.    

 

#17-21

#22-29

#32-34, 36-39

#45-52, 55

#57-59,68

 

You will need to create a model card for #52 and #45 or #68

 

We will be moving on to continuity this wednesday so make sure you get started on the practice!

 

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.

 

Prepare for tomorrows quick check by going over all the assignments give so far as well as the notes in class.

Here is the next set of notes in its entirety.  We only have covered the first page with limit theorems but we will go over how to use algebraic techniques to solve limits.

 

 

Here are some websites that you can use to help you review some basics of what you need for Calc. 

1.  https://www.youtube.com/user/patrickJMT

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.  

 

 

2.  https://www.youtube.com/user/TheIntegralCALC

 

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

 

 

 

Bring your concept maps based on the summer work to class!

 

Good work this week.  I hope that you have had enough feedback from our activities to get a feel of what you are strong in and what you need to work on in terms of pre-calc topics.  Posted here is the aquarium problem and solution as well as the scanned copy of my notes.

 

Remember to bring your book to class next week as we will be doing problems from the first three sections of chapter 2

Here is the answer to the summer work.  Please use it to help you figure out what you had trouble with.