Welcome to Mrs. Oberholtzer's OLD HOME PAGE

(***this page is no longer being updated--please visit my new web page at https://sites.google.com/a/goarrows.org/mrsoahs/ )

Important Dates | Miscellaneous Information|  Prophecies |  Links | Homework Hints & Helps | Pencasts | Pre-typed Notes & Examples | Daily Schoolpad Slides | TurningPoint Review SessionsWeekly Assignment Sheets

      Contact Information:  Mrs. Carol Oberholtzer      e-mail:  caoberho@ashlandcityschools.org

                                         Ashland High School

                                         419-289-7968  (ext. 3203)


Remind messages:              AP Calculus       AP Statistics       Honors Trig/Calculus        BC Calc         Mathletes         Homeroom 203


The following links contain information that may be useful to current and past students.  An attempt will be made to update this page as important notes/slides/worksheets become available.  There is no guarantee that Mrs. O. will be able to save material on a daily basis but she will TRY.   Please feel free to give her any suggestions to make this page more user-friendly, etc.

REMEMBER:  There is no substitute for being in class, paying attention, and taking notes.  These slides certainly don't begin to capture the verbal cues and discussion that help explain a concept or a problem.  But, they are great for when you have an excused absence, want to make sure you copied everything correctly, or you just want to see how Mrs. O. did the problem again. 

Thanks to the Ashland City Schools Academic Foundation (ACSAF) for providing the initial funds to purchase the software and hardware necessary to create these helpful homework slides! 


2015-2016 Math League dates:  Oct. 13, Nov. 10, Dec. 8,  Jan. 12, Feb. 9, Mar 15       (Meet after school in room 201 or 203--maximum time allowed is  30 minutes.  We can  write notes to coaches, etc.) 

2016 American Math Competition (AMC 10 and AMC 12):  Tues. Feb. 22nd (2nd-3rd period) (In the high school cafeteria--grades 10-12 honors math  students)  [Snow date:  2/17]

2016 OCTM Math Contest:  Saturday Feb. 27th at Ashland University (selected students who volunteer)

2016 Advanced Placement Exam math dates :   (AP Calculus--5/5 am;  AP Statistics--5/12 pm) 


Link to registration form: 

2015 OCTM State Conference:  October 15-16 in Cincinnati

2016 OCTM State Conference:  October 13-14 at Kalahari in Sandusky

Miscellaneous Information

Important Dates for Cool Math Students (2015-2016)

OCTM Presentation 10-15-10  You're Never Done with Trig!  (part 2)

OCTM Presentation 10-14-11 "You're Never Done with Trig! (part 3)

Which graphing calculator should I purchase?  (updated 8/10 (but still current 8/15))

BC Calculus Information (updated 09-10)

Classroom Guidelines (2015-2016)

TI 83/84 Graphing Calculator Regression Instructions

TI 83/84 Graphing Calculator Help page

AREACURV program information

First Day PowerPoint (8-20-15)

Open House PowerPoint (2015)

Power Point for finding limits algebraically

Math Department Scholar application form 

Freshman Orientation Power Point


When I first starting teaching AP Calculus I was fortunate to have a group of students for three straight years.  It was a small class of 18 and we became very close.  At graduation time I could scarcely believe they were leaving me, yet I knew it was time for them to move on.  I soon learned that each year I would be blessed with another talented, funny, quick-witted group of students who would graduate all too soon.

As I reflected on that first group of graduates I decided to collect my thoughts in the form of personal reflections and 10-year predictions that I called prophecies.  They were so well received that it became a yearly cathartic experience.  Some are funny, some are serious, some are inside jokes that only a particular class will understand.  I shed tears and laugh out loud as I am writing them.  It takes me hours and hours but I want them to be just right.  Writing the three for my own children was particularly poignant.  Yes, I know that the sentiments at the end are very similar but I sincerely wish them for each class.

Now that some of these students are graduating from college, getting married or getting first jobs, it is fun to look back and see how well my predictions are faring.  Only time will tell...

Note: There are sometimes juniors in AP Calculus who actually didn't graduate until the next year.

Class of 2003 Prophecies   (A big thank you to David Truesdell for finding his copy, scanning it and sending it to me!)                   

Class of 2004 Prophecies              Class of 2005 Prophecies                Class of 2006 Prophecies               

Class of 2007 Prophecies              Class of 2008 Prophecies                Class of 2009 Prophecies

Class of 2010 Prophecies              Class of 2011 Prophecies                Class of 2012 Prophecies

Class of 2013 Prophecies              Class of 2014 Prophecies                Class of 2015 Prophecies

Website Links

Link to surveys:  http://survey.keypress.com

Link to AP exams calendar:  http://apcentral.collegeboard.com/apc/public/exam/calendar/index.html#name2

Link to college/university AP credit policies:  http://collegesearch.collegeboard.com/apcreditpolicy/index.jsp 

MATH HELP LINKS:  (Recommended in Good Housekeeping magazine--August 2009)

http://www.intmath.com/   A great resource for high school math:  Concepts of algebra, probability, calculus, and other subjects are explained clearly and thoroughly.  The search engine tracks down topics (i.e. scientific notation ) quickly.

http://www.sosmath.com/  This site for grades 9 and up teaches by examples--you'll find tons of problems and step-by-step solutions for trigonometry, claculus, and more.  Practice quizzes let students learn by trial and error.



http://hotmath.com/util/hm_flash_movie.html?movie=/learning_activities/interactivities/trig_flashcard.swf&return_to=Algebra II and Trigonometry Activities&title=Trigonometry Flash Cards  This is a site with great flashcards for practicing special angle trig values. 


Link to our Calculus book (Larson 8th edition) e-solutions with textbook hw questions: 


Link to Related rates practice problems (and answers!) : http://www.maitespace.com/math/Calculus/APUnit3/RelRates.htm

Possibly the coolest video you'll ever watch (more than once!) showing harmonic motion and oscillation: 


Larson 9th edition book applets http://web.monroecc.edu/manila/webfiles/pseeburger/secure/MyLarson/LarsonApplets.htm

Derivative and Integral formula sheet

Link to "big derivative puzzle" (practice for matching function graphs to their derivative graphs)http://www.univie.ac.at/future.media/moe/tests/diff1/ablerkennen.html

Link to two different f - f' - f"  identifying websites (the red-blue-green ones):  http://rowdy.mscd.edu/~talmanl/MTH1410U08/Pictures_080529/


Link to yet another fun website where you draw the derivative with the mouse and then check it by sliding across the function:


Link to ap topic power point review slides:  http://homelink.cps-k12.org/teachers/canteys/calculusdrill.html

Link to Sec.7.2 Vase LAB (AP Calculus) http://www.math.duke.edu/education/webfeatsII/gdrive/Team%20A/OurPage.htm  (lab writeup link below)

Derivative and Integral Random Practice (Credit goes to E. Kline and Q. Kocher (class of '07) for this awesome site!)

Link to a great Calculus topic explanation site (choose Calc I for AB and Calc II for BC) http://tutorial.math.lamar.edu/

Link to Calculus help videos (by topic) http://www.calculus-help.com/funstuff/phobe.html

Link to a fun website (and great practice!) where you can draw the derivative yourself! http://www.usna.edu/MathDept/website/courses/calc_labs/deriv/Deriv.html

Link to a video tutorial website where you can also post your own questions  www.midnighttutor.com 


HOW TO:  Self-studying BC Calculus while taking AB Calculus:  http://talk.collegeconfidential.com/ap-tests-preparation/1164959-how-self-studying-calculus-bc-while-taking-calc-ab.html  (Within this link are many other links to help sites!)

Lagrange Error pdf   


NEWLink to Discover article:  "Singled Out" 10/14

10 lessons learned as an AP Statistics Exam reader power point

Link to 2015 Cleveland area AP Stats review session at John Carroll University:  http://webserv.jcu.edu/math//faculty/TShort/apreview2015.html

Link to AP Statistics Practice Multiple-choice exam:  http://stattrek.com/AP-Statistics-4/AP-Statistics-Practice-Exam-1.aspx?Tutorial=AP

Link to our AP Statistics textbook website with Interactive applets, Online Quizzes, and more  www.whfreeman.com/yates2e

NEW:  Link to 5th edition AP Stats textbook RESOURCES:  http://bcs.whfreeman.com/tps5e/default.asp#t_923932____   Check out the applets and example videos!  (Remember that the exercise numbers will not line up with our book though...)

Link to Classifying Statistics Problems (confidence intervals, hypotheses tests): http://www.ltcconline.net/greenl/java/Statistics/catStatProb/categorizingStatProblems.html

Link to Guess my Correlation matching puzzles:   http://istics.net/stat/Correlations/

Link to a site where you actually Guess the Correlation (no matching) http://www.rossmanchance.com/applets/guesscorrelation/GuessCorrelation.html

Link to Least Squares Regression Line applet www.mathforum.org/dynamic/java_gsp/squares.html

NEWLink to another Least Squares Regression Line applet where you can "guess the LSRL" :  http://tube.geogebra.org/student/m57578

Link to Relationship of Venn diagrams to Tree diagrams--conditional events http://www.intuitor.com/student/VennDiagVsTrees.php

Link to Type I and Type II Errors within the Justice System paper:  http://www.intuitor.com/statistics/T1T2Errors.html

Link to "misleading graphs" http://www.math.yorku.ca/SCS/Gallery/


AP Calculus:  Sec.3.7A the "box" problem ; Sec.3.7 p.227 #54 oil well problem ; Sec.4.3 uneven partitions ; Sec.4.5 solving differential equations ; Sec.4.5C change of variable and changing limits of integration ; Sec.5.1C logarithmic differentiation ; Sec.5.6A inverse trig function review

AP Statistics:  Sec.3.2 r-value (how to find by hand)

Honors Trig/CalculusWhy must you only work on one side of a trig identity? ; Sec.6.5C graphing trig equations ; Sec.6.6A graphing y=cotx transformation ; Sec.8.1 ambiguous case for Law of Sines



Homework Hints and Helps
If you want to see worked-out solutions to the odd problems in the Calculus book, go to www.CalcChat.com .  (We use Larson's 8th edition.) Just remember that sometimes that my in-class directions are different!
(Let me know if you find any errors in the documents below...)
AP Calculus:   Sec.3.2A (p.176 1-4 ,5-23 odd, 29, 53, 55)
                        Sec.3.3A (p.186 1-16 all) ; Sec.3.3D (p.188 76,78,79,80,84,86,88,89,90,95-100) ;
                        Sec.3.4B (p.195 11-25 odd) ;Sec.3.4E (p.196 60,63,65-70,76-82) ;
                        Sec.3.6B (p. 215 11,7,9,15,17,37,49-54)
                        Sec.3.7B (p.223 10,12,21-33o,37,38) ; Sec.3.7C (p.224 22,39,41,46,54,58-60) ;
                        Sec.4.1C (p.256 55-61o,63-75all (even answers too!))
                        Sec.4.1A rev.(p.255 10-34 even + answers too) ; Sec.4.1B (p.255 35-46 all) ;
                        Sec.4.2C (p.268 47-61 odd)  ;  Sec.4.3C (p.279 misc evens + answers too!)
                        Sec.4.4C (p.291 44,46,47,49,52-60all ;Sec.4.4D (p.293 61-66all,67-91odd) ;Sec.4.4E (p.293 93-103 all) ;
                        Sec.4.5B (p.304 41-65 odd,68,70)
                        Sec.4.5C (p.305 71-99 odd) ; Sec.5.1B (p.329 41-69 odd) ;
                        Sec.5.1C (p.330 71-87 odd, 93-97 odd) ; Sec.5.1D (p.330 99-110 all) ;
                        Sec.5.2B (p.328 13-17o,23-27o,47-55o,59,79-82) ; Sec.5.2C (p.339 61-77o,87-91o,97-100,102)
                        Sec.5.4D (p.358 85-109 odd,113,115) ; Sec.5.5B (p.366 37-59 odd) ; Sec.5.5C (p.367) ; Sec.5.5D (p.368) ;
                        Sec.5.6B (p.378 41-53 odd, 63, 83-88 all) ;
                        Sec.5.7A (p.385 1-29 odd) ; Sec. 5.7B (p.385 31-41 odd, 47-50 all) ; Sec.5.6-5.7 rev (p. 400 77-92 all OMIT 83,85,89)
                        Sec.6.2C (p.419 61-76 all omit #64 (even answers too)) ;
                        Sec.6.3B (p. 430 55-58,61,63,66,67-74,75,77,79,80) ; Sec.7.2B (p.463 11cd,13b,15-21odd) ;
                        Sec. 7.2AB (p. 463 12-22 even answers) ; Sec.7.2C (p.463 23-39 odd) ; Sec.7.3A integral set-ups ; Sec.7.3B integral set-ups ;
                        Sec.8.1A p.522 1-4, 5-25 odd ; Sec.8.1B (p.522 27-49 odd) ; Sec.8.1C (p.522 51, 52, 55-73 odd) ; Sec.8.1D (p.523 79-82 all, 87, 89-93 all, 97 BC: 94, 97)
                        Sec.8.2A (p.531 1-4, 5-21 odd) ; Sec.8.2B (p.531 23-33o,59,73-78,103a-c
Honors Trig/Calculus:  Sec.6.1B (p.409 29-51 odd) ; Sec.6.1B (p.409 30-54 even (answers, too))   ; Sec.8.1B (p. 578 misc)
                         Sec.8.1/8.2 (p.578 and 587) even answers ; Sec.8.6B/C trig form answers ; Sec.11.1-11.3 review;
                         Sec. P.4 hints and helps
                         Sec.1.5B hints,helps,even answers ;
                         Sec.2.1C even answers with hints and helps ;
                         Sec.2.3A guided homework ; Sec.2.3B hints,helps,MIF answers ; Sec.2.4B MIF and even answers ;
                         Sec. 2.4C MIF and even answers ; Sec.2.5B MIF and hints and helps
AP Statistics:  Sec.1.1C (p. 22 Ex. 1.12-1.18) ; Sec.1.1D (p.33 Ex. 1.21-1.28) ; Sec.1.2B (p.47 Ex.1.36-1.39) ;  Sec.3.1 review (p. 135 Ex. 3.15-3.2) ;
                         Sec.3.3C residuals HELP sheet ; Sec.5.3 (p. 313 Ex.5.59-5.67)

Pre-typed Notes and Examples; Class worksheets

If you need copies of the graphs in the Calculus book, go to www.mathgraphs.com and click on the picture of Larson's 8th edition and go to the appropriate section.  (If your "filter" blocks these (as mine does sometimes), just click "allow content" and it should work fine.)

All:  Student information sheet

AP Calculus:  Factoring review #1 ; Sec. 3.2A guided notes ; Sec.3.2B homework graphs

                       Chapter 3 matching functions and derivatives answer sheet

                       Sec.3.3D fill-in notes and examples ; Sec.3.4 quiz practice ; Sec.3.4E in-class hw problems 

                       Sec.3.4 thought problems ; Sec.3.6A guided homework ; Sec.3.6 Algebra II practice;

                       Sec.3.6B guided notes ; Sec.3.6B guided homework ; Sec.3.6B hw graphs

                       Sec.3.6C guided hwSec.3.6C guided hw graphs

                       Sec.3.9A fill-in notes and examples ; Sec.3.9B fill-in notes and examples

                       Sec.4.1 C-D guided notesSec.4.2 AREACURV program notes ; Sec.4.1/4.4 review list

                       Sec.4.5A fill-in notes and examples ;

                       Sec.4.5B fill-in notes and examples ; Sec.5.1A fill-in notes ; Sec.5.3B hw graphs ; Sec.5.3C notes and examples ;

                       Sec.5.4A notes ;    Sec.5.4B notes

                       Sec.6.1 previous slope field problems

                       Sec.7.2 Vase LAB writeup page ;

                       2015 Lightbulb stats project document ; Lightbulb project Excel spreadsheet notes

Honors Trig/Calculus: Exponent true-false reviewSec.6.1 reading for understanding ; Trig Square activity ; Sec.6.1B guided notes ; Unit Circle quiz practice

                       Trig Verifications worksheet ; Tips for Starting Trig Verifications ;

                       Zoom Trig graph paper ; Guess my Trig Equation packet ; Sec.6.5A hw graphs ; Sec.6.5D trig modeling notes ; 

                       Nail in the Tire Problem ; Sec.6.7A guided notes ; Sec.6.7B guided notes ;  Broadcasting wksht ;

                       Sec.7.1/7.2 trig identity/intersection wksht ; Sec.7.3 review even answers ; Chapter 7 review wksht

                       Sec.8.3 reading sheet ; Sec. 8.4 reading sheet; Sec. 8.5 reading sheet ;

                       Sec.11.4 parametric graphing packet B

                       Sec. P.1 reading sheet ;

                       Sec. P.2 reading sheet ; Sec.P.3 reading sheet ; Sec. P.3B homework graphs (#53-54) ; Sec.P.3A-B worksheets

                       Sec. 1.2 reading sheet ;

                       Sec.1.2A guided notes ; Sec.1.2A homework pages ; Sec.1.2B homework pages

                       Sec. 1.3 reading sheet  ; Sec. 1.4 reading sheet ; Sec. 2.1 reading sheet ; Sec.2.1-2.3 homework review

                       Sec.2.6A guided notes ; Ch 2 matching derivs and functions answer sheet ;


AP Statistics:  Chapter 1 outline ; Sec.1.2C guided notes (part A) ; Sec.1.2C guided notes (part B) ; Sec.1.2D guided homework ; Chapter 1 BONUS

                        Chapter 2 outline ; Chapter 2 BONUS ; Chapter 3 outline ;

                        Chapter 4 outline ; Sec.4.1A notes ; Sec.4.1B guided homework ; Sec.4.3 conditional distributions ;

                         Chapter 5 outline ; Chapter 5 BONUS ; Chapter 6 outline ; Chapter 7 outline ; Chapter 7 BONUS

                         Chapter 8 outline ; Semester synopsis ;

                         Chapter 9 outline ; Sec. 9.1B guided homework ; Sec. 9.1C guided homework ; Sec.9.2 class examples

                         Chapter 10 outline ; Chapter 11 outline ; Sec.11.1C guided homework ; Sec.11.2C guided homework ; Ch 11 review grid ;

                         Confidence Interval template ; Hypothesis testing template

                         Chapter 12 outline ; Sec.12.1B guided homework ; Sec.12.1C guided homework ; Ch 12 review grid ; Chapter 13 outline ;

                         Chapter 14 outline ; Sec.14.1B example

                         2014  Stats project requirements ; Permission slip

Daily Interwrite Whiteboard/Schoolpad "slides"

Honors Trig/Calculus:  Exponent review (9/10/15) ; Sec.6.1A trig conversions (9/11/15) ;

                                                       Sec.6.1B arc length, sector area, linear and angular speed (9/14/15) ; Sec.6.2B six trig ratios (9/18/15) ;

                                                       Sec.6.2C trig verifications (9/21/15) ; Sec.6.2C trig verifications hw (9/23/15);  Sec.6.2D signed quadrants (9/23/15) ;

                                                       Sec.6.2D more notes (9/24/15) ; Sec.6.3B using negative identities (9/28/15) ; Sec.6.3C trig graphs (9/29/15) ;

                                                       Sec.6.3C trig graph "limits" (9/30/15) ; Sec.6.4A using reference angles (10/1/15) ;

                                                       Sec.6.3D solving basic trig equations (by hand) (10/5/15) ; Sec.6.4B solving trig equations using calculator (10/6/15) ;

                                                       Sec.6.4B hw last 3 (10/7/15) ; Sec.6.5A trig transformations: amplitude/period (10/13/15) ;

                                                       Sec.6.5B trig transformations: axis and phase shift (10/14/15) ; Sec.6.5C trig trans: periods other than pi (10/15/15)

                                                       Sec.6.5 guess my equation (10/19/15)  ; Sec.6.6A graphing y=tanx and y=cotx transformations (10/21/15)  ;

                                                       Sec.6.6B graphing y=secx and y=cscx transformations (10/22/15) ; Sec.6.5A applying sinusoids (10/23/15);

                                                       Sec.6.7A solving right triangles, angles of elevation/depression (10/30/15) ;

                                                       Sec.6.7B bearing, direction, harmonic motion (11/2/15) ; Sec.6.7C hw (11/4/15) ; Sec.7.1 trig verifications (11/10/15) ;

                                                       Sec.7.1B identities vs intersections (11/12/15) ; Sec.7.2A solving trig equations by hand (11/13/15) ;

                                                       Sec.7.2B solving trig eq on an interval (11/16/15) ; Sec.7.2C applications of trig equations (11/17/15)  ;

                                                      Sec.7.3A/B cofunction, addition/subtraction identities (11/18/15) ; Sec.7.4A double-angle/half-angle identities (11/30/15)  ;

                                                       Sec.7.4B using identities to solve equations (12/1/15) ; Sec.7.6A inverse trig basics (12/2/15) ;

                                                       Sec.7.6B more inverse trig (12/3/15) ; Ch 7 rev wksht (12/7/15)


 AP Calculus:   Sec.3.1A extrema (9/10/15) ; Sec.3.1B using technology for extrema (9/11/15) ; Sec.3.2A Rolle's Thm (9/14/15) ;

                                   Sec.3.2B Mean Value Thm (9/16/15) ; Sec.3.3A First Derivative Test for relative extrema (9/18/15) ;

                                   Sec.3.3D applying 1st deriv test (9/23/15) ; Sec.3.4A intervals of concavity (9/28/15) ; Sec.3.4B finding inflection points (9/29/15) ;

                                   Sec.3.4C applying 2nd deriv test (9/30/15) ; Sec.3.4C hw (10/1/15) ; Sec.3.4E applications of second deriv (10/5/15) ;

                                   Sec.3.1-3.4 rev MVT probs (10/7/15) ; Sec.3.6 algebra II rev (10/9/15) ; Sec.3.5A limits to infinity (10/12/15) ;

                                   Sec.3.6A curve sketching--polynomials and domain restrictions (10/14/15) ; Sec.3.6B curve sketching--rational functions (10/15/15) ;

                                   Sec.3.6B curve sketching hw (10/19/15); Sec.3.7A optimizing applications (10/21/15) ; Sec.3.7 hw #13, 15, 17 (10/22/15) ;

                                   Sec.3.7 hw #21, 27 (10/23/15) ; Sec.4.1A finding antiderivatives (10/30/15) ; Sec.4.1B trig integrals (11/2/15) ;

                                    Sec.4.1C vertical motion (11/4/15) ; Sec.4.1D particle motion (11/5/15) ; Sec.4.2A sigma notation (11/6/15) ;

                                    Sec.4.2B limits with sigma notation (11/9/15) ; Sec.4.2C areas using limits (11/10/15) ; Sec.4.2C cont. (11/11/15) 

                                    Sec.4.3A Reimann sums, definite integrals as area (11/16/15)  ; Sec.4.3B properties of definite integrals (11/17/15) ;

                                    Sec.4.3C uneven partitions (11/18/15) ; Sec.4.4A/B homework (12/2/15) ; Sec.4.4C/D rev (12/7/15)


AP Statistics:   Sec.1.2C standard deviation/linear transformation (9/24/15) ; Sec.2.2 standard normal calculations (10/8/15) ;

                             Sec.3.2 correlation calculation (10/20/15) ; Sec.3.3 rev. #3.52 (10/28/15) ; Sec.6.3 outline #6 #7 (12/7/15)


BC Calculus sessions (2015):  Euler's method; Sec. 7.4 arc length (2/18/15) ; Sec.10.5 area of polar region (2/25/15) ;

                            Vector calculus (3/4/15) ; Sec. 10.2/10.3 parametric calculus (3/11/15) ;

                             Sec.9.1,9.2,9.7 sequences, series, Maclaurin/Taylor poly approx. (3/18/15) ;

                             Sec.8.2,8.5 integration by parts, partial fractions (3/25/15) ; Sec.8.8 improper integrals (4/8/15) ;

                             Sec.9.3 power series, integral test and others (4/15/15) ; Sec.9.5 ratio test, interval of convergence (4/22/15)


 TurningPoint Review Presentations   

These will open up in PowerPoint.  You won't see all the "bells and whistles" but if you keep clicking, you'll see the correct answer marked.  (It takes about 4 clicks to finish the question.)

AP Stats:   Chapter 1 review  ; Chapter 2 review  ; Chapter 3 review  ; Sec.8.1 binomial conditions

Honors Trig/Calc:  Chapter 1 review ; Sec.2.4 chain rule jeopardy ;  Sec.2.4 chain rule jeopardy KEY

 Weekly Assignment Sheets


Weeks of 12/14/15 and 12/21/15Honors Trig/Calc ; AP Calculus ; AP Statistics

Week of 12/7/15Honors Trig/Calc ; AP Calculus ; AP Statistics

Week of 11/30/15Honors Trig/Calc ; AP Calculus ; AP Statistics