2006-2007
Welcome to Ms. McCleary's AP  Calculus AB Homework and Notes Page
The AP Calculus AB exam will be given on May 9, 2007.

To see our Calculus Resource Page click here


DATE
ASSIGNMENT
7/1From: http://www.collegeboard.com/student/testing/ap/exgrd_rep.html

Grades By Phone

Starting July 1, AP Grades by Phone for the current year's exams will be available for students in the United States, U.S. territories, and Canada for a fee of $8 per call. This service will be offered 24 hours a day by TouchTone phone and will remain available for about six weeks. The toll-free number is (888) 308-0013. Students outside the U.S., U.S. territories, and Canada can call AP Services.

Feel free to send me your good news about your scores.  Send to denise(at)zen-dog.org.
Replace (at) with @ so I don't get deluged with spam.  Thanks
6/2The Department of Mathematics extends its congratulations to the 007 graduates!










SOLUTIONSMr. Rahn has posted his solutions to this year's Free Response problems  Go to:   http://jamesrahn.com/CalculusI/Ap/2007/2007_ap_solutions.htm
Go to:  http://www.ccsdk12.org/~mclemens/2007ABFormASolns.pdf
to see Ms. Clemens' solutions
Word on the street was that this year's questions were much more difficult than the previous 10 years and the mean scores will probably be low for each question.  So don't feel upset and just wait until July!
I did some of these problems in a different way and I will post my solutions outside Room 222 during the week.
5/10Our last day.  Best wishes to all of my Calc AB students.  Remember, we are smart and we are pretty!
5/9THE BIG DAY!!!  Did you get a chance to use the "Eric Dente Maneuver"? or the "Seren Shortcut"?
5/8This is it!!!  Less than 24 hours to go!  Good luck to all of my students who are taking their big AP exam tomorrow.  Remember to be in the school library by 7:45 am on Wednesday with your number 2 pencils, erasers, a blue or black pen and your TI with fresh batteries.  I'll be thinking about you tomorrow morning!  Don't forget your "magical" pencil!
5/7in less than 48 hours it will be over [Yay!]  We went over the final today.  Thank you for all of your great questions!  Tomorrow is your last chance for questions about the final or anything else on the AP. Bring your free response questions to class on Tuesday.  
Typical AP Free Response Questions  Click here for our BIG review
5/6Click here for a terrific last AP Calculus review which Mr. Stu Schwartz of PA wrote for his students
This is the "when I see" review and it has answers [Note:  It has both AB and BC !]
5/5No Saturday School!  Yay!  Here are the Book Room  Hours as of today.  If the hours change, then I will post them later.
Monday - Friday 7am to 8am
Tuesday 11 am to 11:45 am [sometimes] or 2:45pm to 3:15pm
Wednesday and Thursday Block Lunch
5/4If everyone has taken the final, then we will go over it.  Otherwise, we will go over any questions from last Saturday's free response questions.  Have fun at prom but be safe!
Here is a nice set of AP exam tips:  http://www.skylit.com/calculus/Ch1-AboutExam.pdf
5/2 & 5/3Big Multiple choice final
To see the worked solutions to last Saturday's exam go to:
http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap06_sg_calculus_ab_form_b.pdf
and http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap05_sg_calculus_ab_form_b.pdf
5/1HAPPY MAY!  Our big multiple choice exam is on Block Day.
4/30Here is a nice thought-provoking AP review:  http://jamesrahn.com/review_for_test.htm
Please study, study, study!!!
4/28Our last Saturday Session.  Yay!  [Believe me, it is more painful for me than you!]  To see worked out solutions for some of the multiple choice problems go to:  http://jamesrahn.com/CalculusI/acorn_booklet.htm
#1-14 correspond with our #1-14 and #15-24 correspond with our #76-85
I will go over the rest of the multiple choice answers in class on Monday and Tuesday in order to better prepare you for the exams. Don't forget to do the Free Response problem of the day which is due on Monday.  Great job with the presentations in period 5and period 8 - especially Team Awesome, Team Awesomer, and Team Awesomest!
I just found another great review webpage with multiple-choice questions and answers!  Go to:  http://lhs.lexingtonma.org/Dept/Math/263/
4/27REMINDER:  LAST SATURDAY SESSION IS TOMORROW AT NOON
REMINDER:  MULTIPLE-CHOICE FINAL NEXT WEEK TO PREPARE FOR MAY 9TH AP EXAM
Here is another good review for some select AP Calc topics:  http://www.dudefree.com/Student_Tools/materials/index.php
You might want to check out the "STUFF YOU MUST KNOW COLD FOR THE AP CALCULUS EXAM" which is at:
http://www.dudefree.com/Student_Tools/materials/calc/Stuff_You_Must_Know_Cold.pdf
You might also like to check out Mr. Birds's great review stuff, including 4 different "Stuff you must know cold"  quizzes at:
http://www.covenantchristian.org/bird/Calculus.htm
4/25 and 4/26Click here for today's frpod
REMINDER:  MULTIPLE-CHOICE FINAL NEXT WEEK TO PREPARE FOR MAY 9TH AP EXAM
4/24Went over Free Response from Saturday  Go to http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap06_sg_calculus_ab.pdf
for the official solutions
4/23Typical AP Free Response Questions  Click here for our BIG review
REMINDER:  Our multiple-choice final is next week on block day
We went over the FR from Saturday.  Go to:
http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap06_sg_calculus_ab.pdf
REVIEWGo to  http://tutorial.math.lamar.edu/sitemap.aspx for some fantastic "cheat sheets" for Calculus
DON'T FORGET - BONUS MULTIPLE CHOICE QUIZZES EVERY NON-BLOCK DAY
FREE RESPONSE QUIZZES ON BLOCK DAY
4/21To see worked solutions to this Saturday's review exam go to:  http://jamesrahn.com/CalculusI/Ap/2003/2003_ab_test.htm
REMINDERThird Saturday School Review on 4/21 at 8:30 a.m.  We will be taking the 2003 AP exam which is the last released version.  If you can not make it to this session, then please be sure to pick up a copy of the exam on Block Day.
4/18 &
4/19
Quiz and finished going over Saturday's multiple choice  
If you want to see the solutions to Saturday's Free Response, then click on the link on the 4/16 posting
Next Bonus Quiz will be on position, speed, velocity, acceleration
Enjoy your Friday off!
4/17Click here for an implicit differentiation/related rates review
Tomorrow's quiz is on separable diff eq and derivatives
4/16REMINDER: CUMULATIVE FINAL ON MAY 2 AND MAY 3
click here for today's frpod
ANSWERS, ANSWERS, WE GOT ANSWERS:
Go to http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap05_sg_calculus_ab.pdf
for the answers to Saturday's Free Response problems
4/14
Saturday
Thanks to everyone who was punctual for today's Saturday session!  I will post the answers to the free response questions on Monday, April 16th
REMINDERSecond Saturday School Review on 4/14 at noon
Click here to get a permission slip - you must have a signed permission slip!
4/13Click here for the AP Free Response Question of the Day
Click here for the BIG DERIVATIVE REVIEW
Click here for a brief review of the derivative as limit
4/11 & 4/12The REVIEW begins  Click here for limit review stuff
Click here for the AP Free Response Question of the  Day [presentations of this problem on Friday]
4/10For a good selection of continuity and limit problems* go to : http://home.cvc.org/math/apcalc/apws2.pdf
*  skip #3, the AP does not ask these types of questions anymore
[Ms. McCleary will post her answers to this review on the side blackboard of Room 222]
Other sources of good review can be found on our resource page
4/9ch 6 & 7 test
Statistics for test:
Period 1:  mean = 73%; Q1=58%; median=79%; Q3=92% There were 8 A's and everyone has taken the test.  Great job!
Period 5:  mean = 83%; Q1=71%; median=92%; Q3=96%  number of A's = 10 great job!  
Period 8:  mean=70%; Q1=50%; median = 71%; Q3 = 96%  There were 7 A's
REVIEWFor some more AP review exams WITH solutions go to:  http://online.math.uh.edu/apcalculus/exams/
4/7For all of the free response solutions for Saturday  School's review test go to: [make sure you check #2 and #6]
http://www.collegeboard.com/prod_downloads/ap/students/calculus/ap04_sg_calculus_ab.pdf
For a look at worked out solutions to the multiple choice problems go to:  http://jamesrahn.com/CalculusI/Ap/1998/1998_ab_test.htm
Permission SlipClick here for the permission slip [it has the dates and times for Saturday School]
4/6Click here for the multiple choice review for Monday's test
4/5AP Free Response Problems with Area and volume  [extra handouts in the bin in Room 222]
4/4All of the problems on the volumes worksheet   [there are extras in the bin but here is a link to a copy]
http://www.frapanthers.com/teachers/zab/CalculusABWorksheets/WorksheetVolumes.pdf
REMINDERFIRST SATURDAY AP REVIEW ON 4/7 AT 8:30 AM
YOUTUBEIf you have four minutes to spare, then check out the AP Calculus video at youtube.com called "Reppin' that Calculus"  
REVIEWHere is a link to some additional volume and area problems http://www.wildstrom.com/susan/calcREVIEW-5.pdf
And here is the link with the answers  http://www.wildstrom.com/susan/calc-REVIEW-5answers.pdf
For those of your who would like to start studying for your AP exam early, then go to:  http://www.collegeboard.com/student/testing/ap/calculus_ab/samp.html?calcab
For Mr. McMullin's index of AP Free Response problems go to: Index of Free Response Problems is at:
http://www.linmcmullin.net/PDF_Files/AP_Calculus_type_analysis.pdf
Click here for some multiple-choice volume problems
3/23Click here for the notes on volumes of solid of revolution [washer method]
3/21 and 3/22Click here for the notes on volumes of known cross sections
Click here for the notes on volumes of solid of revolution [disk method]
3/20Area between curves  Click here for notes and homework
3/19Growth and decay  Click here for the notes and  homework
3/16AP Free Response for diff eq and  slope fields  [extras in the bin]  Homework:  finish the two problems that we did not do in class
3/15Separable diff eq  Click here for the lesson and assignment
3/13 &3/14Slopefields  Click here for the lesson
Homework:  finish the slopefield handout [extras will be in the bin]
3/12Chapter 5 Test
3/9Review for Monday's Test on Chapter 5
3/8Here's a review that I put together that highlights the problems on our next test  Click here for the review [do all work on a separate piece of paper]  TEST ALERT!   CHAPTER FIVE TEST ON MONDAY, 3/12
3/6 & 3/7Free Response AP problems involving e^x and lnx  Absent?  The extras will be in the bin in Room 222.
TEST ALERT!   CHAPTER FIVE TEST ON MONDAY, 3/12
Click here for the answers to the AP Free Response Questions
REVIEWLooking for a good review?   Try:  http://home.cvc.org/math/apcalc/apch5.pdf
TEST ALERT!   CHAPTER FIVE TEST ON MONDAY, 3/12
3/5The last of our new derivatives and integrals!  Yay!  Click here for the notes and homework
2/27Integrals with the exponential function Click here for the notes and homework
2/26Derivative of the exponential function  Click here for the notes and homework
2/23Derivatives of inverse functions   Click here for the notes and homework
2/21 &
2/22
Integrating with ln Click here for the notes and homework
2/20A new derivative!  Click here for the notes and homework
2/14&2/15Chapter Four Test
period 1:  mean = 86%; Q1=74%; median=87%; Q3=106%   Nice work!
period 5: mean = 92%; Q1=76%; median = 95.5%; Q3=106% Fantastic!
period 8: mean = 82%; Q1=66.5%; median = 82.5%; Q3 = 98.5% Good job!
2/12&2/13Review for our Chapter Four Test which is on block day
Do the 2004AB4 "water" problem for homework [Monday]
Here is another excellent resource for review:  http://home.cvc.org/math/apcalc/apcalc.htm
2/9Trapezoid Rule  Click here for the notes and homework
We are done this chapter so Chapter 4 test next block day
2/7 & 2/8QUIZ  and Practice AP Free Response problems [extras in the bin]  do the Camp Newton problem
2/6U-sub practice and review for this week's quiz  Click here for the handout
QUIZ ALERT!  QUIZ ON BLOCK DAY!
2/5Definite integrals with u-sub  Click here for the notes and  homework
QUIZ ALERT!  QUIZ ON BLOCK DAY!
2/2Integration [indefinite integrals] with u-sub Click here for the notes and homework
1/31 and
2/1
Working with the FTC  Warm-up [first two pages found at:  http://www.houstonact.org/documents/RossDetHatFunction.pdf
FTC handout [if you were absent, then look in the bin]
1/30Second FTC  Click here for the notes and homework
1/29More FTC  Click here for the notes and homework
Would you like an FTC t-shirt?  Look here:  http://www.cafepress.com/maththreads/2438062
1/26Definite integrals - The Fundamental Theorem of Calculus [FTC]
Click here for the notes and homework
1/24 and 1/25A geometric look at definite integrals
Click here for part I of the notes and homework;  click here for part II of the notes and homework
1/23Went over final exam.   New stuff tomorrow - yay!
exam week
Period 1  There were 14 A's [Yay!]  for n = 34
mean = 172 [86%]; Q1 = 162 [81%]; median = 175.5 [88%]; Q3 = 183 [91.5%]
Period 5 There were 12 A's [Yay!] for n = 23 [ - 2]
mean = 174 [87%]; Q1 = 158 [79&]; median = 185 [92.5]; Q3 = 193 [96.5%]
Period 8 stats: mean = 165 out of 200 [82.5%]; Q! = 156 out of 200 [78%]; median = 164.5 out of 200 [82%]; Q3 = 178 out of 200 [89%] For n = 26 [-4] number of A's = 5 [Yay! and Jenny W. had the highest score out of all of the three classes!]
1/9-12http://www.wildstrom.com/susan/caclab_assignments.htm
Do as many of these review problems as you need.  Remember that there are plenty of other review webpages on our resource page.
Mr. Leckie's fine website can be found at:  http://chaoticgolf.com
1/8I am officially sick of winter!  School was canceled again today.  Better luck tomorrow.  
1/5More SNOW!  Are you kidding me?  Snow day, snow day, snow day, ...  I'll see you on Monday.  Enjoy your long weekend!
Do you think that we caused the snow by doing that Riemann sum problem with the snow rate?
1/4More Riemann Sums. The extras of the "My Riemann Sum Project" are in the bin.
Click here for the notes  
1/3Went over chapter three's test
WINTER
BREAK
 I am so sick of snow!  For those of you who would like to start reviewing early, here is a great review.  Go to:  http://www.wildstrom.com/susan/caclab_assignments.htm   and cursor down to the Final Exam Review.  The answers are also provided.
12/19Calculus  Sudoku
click HERE  for the sudoku - you'll need to put the heavy lines in yourself.  There will be extras in the calculus bin in Room 222.
If you also did the Foxtrot "sudorku" on the back of our puzzle, then here is a link to its solution
http://jokermage.livejournal.com/227968.html
12/18Introduction to definite integrals and Riemann Sums
Click here for the notes [no homework]
12/15Trig Indefinite integrals
Click here for the notes and homework
12/13 &
 12/14
Introduction to integration
Click here for the notes and homework
12/12Chapter Three Test
Period 5:  mean = 86%; Q1 = 79%; median = 90%; Q3 = 97%  [Over half the class got an A! Fantastic!]
Period 8:  mean = 76%; Q1 = 63%; median = 79%; Q3 = 90%  [29% of the class got an A! Good job!]
Period 1:  mean = 77%; Q1 = 58%; median = 81%; Q3 = 94%  [41% of the class got an A!  Well done!]

12/6 - 12/11
Review for test  TEST ALERT !  DECEMBER 12TH, TUESDAY
Kyle M. wants a white wolf - not just any wolf - a white wolf.
12/5linearization  click here for the notes and homework  TEST ALERT !  DECEMBER 12TH, TUESDAY
12/4Optimization [we now know what "girth" means]
Click here for the notes and homework   TEST ALERT !  DECEMBER 12TH, TUESDAY
12/1Introduction to Optimization [min/max problems]  No homework
11/20 & 11/30Everything about graph analysis using all of the tools of chapters 1 - 3
Click here for the notes and homework [don't be shy about using your TI to find critical numbers and possible points of inflection]
11/28Horizontal asymptotes [the limits just keep coming!]
Click here for the notes and homework
11/27More on graph analysis
Click here for the notes and homework
11/17Chapter Three Project [worth 50 test points]
click here for the project  [typo alert - question four should be on a closed interval]
11/15&11/16The Second Derivative
Click here for the notes and homework
11/14More with the First Derivative Test
Click here for the notes and homework
11/13First Derivative Test
Click here for the notes and homework
11/8 and
11/9
Mean Value Theorem  Click here for the notes
tonight's assignment:  page 177, 178 #39, 41, 43, 57, 67
11/7click here for the notes on Rolle's Theorem
Tonight's assignment:  
page 176  #11, 13, 15, 17, 21
11/6Handout on using derivatives for graph analysis - if you missed class, then the handouts are in the bin
11/3A  new chapter!  Yay!  Will we ever see the end of limits?
Click here for the notes   Homework:  page 169 #19, 21, 23, 27, 31  Use calculus to find extrema
11/1 and
11/2
Our major test  Period 1 - 50% of the class received A's on their test  Fantastic!
period 1:  mean=79%; Q1=63%; median=89%; Q3=100%  [50% of class received A's!!!]
period 5: mean=77%; Q1=64%; median=79%; Q3=92% [there were six A's]
period 8: mean=63%; Q1=45%; median=60%; Q3=87% [there were six A's]
10/31Last day of review for tomorrow's test  Please study and anyone with extra KitKat bars can drop them off at my office!
10/30Still reviewing!  Click here for our last review worksheet
TEST ALERT   TEST ALERT   TEST ALERT   TEST ON BLOCK DAY
Here is a website that illustrates the common calculus mistakes
http://www.mathmistakes.info/mistakes/calculus/index.html
10/27Review for next week's test - TEST ALERT  TEST ALERT TEST ALERT TEST ON NEXT BLOCK DAY
If you were absent, then get the handout in the bin
Click here for additional derivative as limit problems - some of you need the practice
10/25 and
10/26
More related rates!!!  Click here for the notes/handout  [Test alert!  November 1st]
Do the Joey and the dog puddle problem for homework
Here are the links to some great related rates stuff:

A problem that could “bug” you:  http://www.calculus-help.com/probs1998/problem25.html

Related rates animated problems:  http://astro.temple.edu/~dhill001/relatedrates/relatedrates.html

A great tutorial:  http://www.frapanthers.com/teachers/zab/CalculusABReview/WorksheetRelatedRatesII.pdf
10/24Introduction to related rates
Click here for the notes
TEST ALERT!  TEST ALERT!   TEST ALERT!  TEST ALERT!  NOVEMBER 1st
Start studying NOW!
10/23Group presentations
Homework:  Read 3.5 and do page 146 #1,3,5,21,27,32
Our next test will be on November 1st
10/20Free Response Group Project
Click here for the handout - our next test will be on November 1st.
10/18 and
10/19
Implicit Differentiation  Click here for notes and click here for worksheet
Many thanks to the students who came to class today!
10/17Even more of the  Chain Rule.  Homework on page 139 #98  Only one problem but it has twenty parts.
Click here for the notes
10/16More of the Chain Rule!  Click here for the notes and homework
10/13Chapter Two quiz  Results will be posted later
Happy Friday the 13th!
QUIZ HINTSJust can't wait for Friday's quiz.  Click here for a quiz hints worksheet
Click here for the solutions to the worksheet  OOPS!  Typo alert #9 should be -36x^(-7) 
10/10Introduction to the chain rule  Click here for the notes and homework
QUIZ ON FRIDAY!
10/6More of derivatives!  Click here for the notes
Numerical derivative worksheet  - do all but 1b, 2e, 2f  Click here for the worksheet
Quiz next week on Friday the 13th!
Thank goodness Mr. Moore was in class because a day without a Kyle is a day without a smile! [thanks, Nicole!]
10/4 and
10/5
The rest of the trig derivatives!   Click here for the notes and homework
Higher order derivatives  Click here for the notes and homework
Quiz next week on Friday the 13th!
10/3QUIZ ALERT!   Quiz next week on Friday the 13th!!!!
Product and Quotient Rules  Click here for notes and homework
10/2Working with numerical derivatives - with or without a calculator.  What is more accurate?
Click here for notes and worksheet
Here is a link to the article called "Lies My Calculator Told Me"  [see the index on the left]
http://www.brookscole.com/cgi-wadsworth/course_products_wp.pl?fid=M20bI&product_isbn_issn=0534410227&discipline_number=1
9/29Our two new derivatives:   If f(x)=sinx, then f ' (x)=cosx, and if g(x)=cosx, then g ' (x)  = - sinx
Our worksheet today - Derivative as limit   Click here for the handout
9/27 &
9/28
Click here for part one of the notes and homework
Click here for part two of the notes and homework
9/26The derivative as limit   Click here for notes and homework
9/25introduction to the derivative as limit - Read 2.1   I will post notes once we have made it through all of them
9/22Our first chapter test
9/19-21Review for our first chapter test
TEST ON FRIDAY!!!!
Click here for a review sheet
9/15/06Infinite discontinuities [vertical asymptotes]   Click here for the notes and homework
9/13/06
9/14/06
Continuity - remember the three conditions for continuity at a point.  All three must occur.  Your homework must include limits!  Click here for notes and homework
If you would like a tutorial on continuity see:  http://www.calculus-help.com/funstuff/tutorials/limits/limit05.html
9/12/06Our first AP Calc AB quiz
9/11/06IVT  Click here for notes and homework
9/8/06TEST ALERT!  Test on Tuesday, 9/12
Click here for the notes and homework
9/6/06
9/7/06
TEST ALERT!  Test on Tuesday, 9/12
Click here for part one of the notes; click here for part two of the notes
Can't remember how to factor the sum or difference of two cubes?  
See http://www.math.unt.edu/mathlab/emathlab/differenceoftwocubes.htm
Read 1.3  Do page 67 #9, 13, 17, 19, 23, 25, 31, 37, 39, 45, 46, 47, 48, 49, 59, 67, 71 [ for 45-49 please find analytically; for 67 and 71 please show graph]  Yes, you do need to write the original limit!
9/5/06TEST ALERT!  Test on Tuesday, 9/12
We have officially begun Calculus!  Click here for the notes
Here is a nice animation of the secant versus tangent problem:  http://www.math.umn.edu/~garrett/qy/Secant.html
Read 1.1, 1.2  Do pages 545, 55 #3, 5, 11, 13, 15, 17, 19, 23  Please use standard mathematical notation
9/1/06All the trig we need for AP Calc AB  Click here for the notes
For anyone who is having difficulties with their TI, here is a webpage that fixes your problems: [you may need to cursor down to find your individual problem]
  http://oakroadsystems.com/math/ti83oops.htm#NoMultEq
8/30&8/31We did a lot of stuff today!   Click here for the ti-tutorial notes; click here for the decomposing functions notes; click here for the "special" composite functions notes; and finally, click here for the homework worksheet
8/29/06More pre-calc review - piecewise functions and the horrible realization that sometimes our graphing calculator is not always truthful
Click here for the notes
8/28/06Please look over the Chapter P  and please work on anything  you feel that you are rusty on
Click here for the notes
8/25/06Welcome to AP Calculus AB for the 2006-2006 school year!  
Click here for Class Expectations