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Mathematics resources to help students learn                 

... and teachers teach.    

 


 

What's New - BLOG

Diving In to the AP Exam

 

 

Check out our new subscription. 36 sets of problems, each with 4 multiple-choice and a free response problem, with the difficulty of AP exam questions. And you can use them from day 1 of class.

 

Interested?  Check it out.

 

Calculus On The Wall - NEW RELEASE! 

 

Announcing the new release of Calculus On The Wall - annimated and narrated powerpoint presentations to bring the classroom to life!  Click the video below to watch our introduction.  Or click the link below to learn more and download sample powerpoint slides.

 

Calculus On The Wall information/downloads - Click here

 

 

WHAT DO WE MEAN BY AVERAGE?

 

Over the years, I taught both AP calculus and AP statistics. While many of the same students took both courses, rarely was there a problem with students confusing ideas from both courses. In fact, rarely was calculus mentioned in statistics class and vice versa. It was almost as if calculus skills and statistics skills came from a different part of the brain.

 

The one concept that is common to both course is "average" or "mean." In calculus we have the average value of a function and the average rate of change of a function. In statistics, we have the arithmetic mean or average. Are there occasions when these concepts can be confused?

 

This document is a paper I was moved to write that examines the word "average" and when you complete reading it, you might find that there are times when an average is not what you think it is.  Read it and give it to your students after the AP exam. It will make for a great classroom discussion.

 

www.mastermathmentor.com/mmm-archive/Average.pdf

 

STU's NEW BOOK HAS ARRIVED!

 

REA's All Access AP Calculus Review book was written by Stu. It covers AB and BC and was written for students to review the course for the AP exam. There are many example problems as well as a 15-question quiz for each chapter, two 22-question mini-tests, both AB and BC full review exams and 100 review flash cards. All problems have explained solutions. Everything is original and there are no duplicates from www.mastermathmentor. So for teachers, this is a wonderful source of both multiple choice and free response problems.

Check it out at http://store.rea.com/0738610844.html. Available from Amazon and other book-sellers. Not available on this website.

 

 

 

To purchase the soltuions - click here

 

Register Now! click here

 

Calculus, Ripped From the Headlines give MasterMathMentor members a weekly calculus problem that will engage students and give them a chance to see how calculus can be applied to topics found in the news.  Here are some examples:

. Tiger Woods putting on the Master's treacherous greens
. Shrinking a tumor
. Toyota's sudden acceleration problem
. Marketing Apple's new iWatch
. The change in calls to the police reporting suspicious packages after

   the Boston Marathon bombings
. The speed of the Japanese tsunami as it hit land
. The largest pizza in the world!

. The coming of the cicadas.

There are 40 problems, each based on a story that actually appeared in the news. The problems will be similar to the format of the AP free response questions with several sub-parts. Only calculus topics that are taught in a typical AP calculus course will be needed to solve these problems.

 

To LEARN MORE or purchase the soltuions - click here

Register Now! click here

 

BC Manual Changes

 

There have been some changes to the BC Calculus Student and Solution manuals, notably in various locations through the last 70 pages. Some problems were changed and reworked. Also, the order of certain topics were slighly altered. For instance, I never liked that I never actually named and stressed the nth-term test for convergence, which I believe students should always think of first before trying other tests. For teachers who have purchased the solution version, I would recommend that before the new school year, you download the lastest student version and email me anytime at team@mastermathmentor.com and I'll send you the links for the solutions.

 

RU Ready for Some Calculus?

 

After 8 months working on several books (including a calculus one for REA ... more on that later), we have a new product for you!

 

                         

 

If you are frustrated that your AP calculus students cannot solve a simple equation, find the domain of a function, simplify a complex fraction, or find tan (p/3) without a calculator, this will certainly help.  This is a 50-page workbook covering 21 vital topics from precalculus with solved problems for students. The student version is completely free  and the solution version has 4 tests that teachers can use. Click here to read about it:

 

A New AP Calc Review

 

Check out the new review for the AP Calculus Exam. The paper version including student versions and solutions versions are still available and free. But this new version was created so you can review topic by topic by projecting a general situation on the screen and asking students what actions they would take. Available in both AB and BC versions.  Check it out by clicking below:

 

Go to the review page

 

 

We have a new server!

 

Our apologies if you have had trouble downloading products over the past several weeks. Our server has been upgraded and now is amazingly fast. What this means to you is that downloads will be much faster than before. I recommend that if you have purchased materials and want the latest versions of solutions, to contact me at sschwartz8128@verizon.net and I will send you links to them.  If you order solutions and the process hits a snag, don't worry. Contact us at the same address and we will get it working for you. Putting in a new server is like transfering one brain to another body and connecting all the "wires."

 

STEP-by-STEP - the BC Version

 

Similar to Step-by-Step - the AB version. This version contains 52 free-response problems emphasize the concepts from BC calculus while reinforcing those from AB calculus. People who have purchased AB Step-by-Step or BC Demystifying the AP exam will be contacted via email.

 

Check out Step-by-Step BC.

 

STEP-BY-STEP                                         

If you ever gave practice free-response problems to your students, you have probably been frustrated because you can only assign part a) or parts a) and b) because the other parts involve concepts not yet taught.  No more.  Step-by-Step is a set of 75 free-response AB problems that emphasize specific topics rather than the global approach of released AP problems.  As usual, the student version of these will be completely free. People who have purchased solutions to Demystifying the AP Exam will be notified by e-mail!

 

Check out Step-by-Step.

 

If you have recently downloaded the free student version of Step-by-Step, please keep your eye on the errata page. When a new product comes out, little errors always show themselves and users are always kind enough to send them in. We update the server immediately so the most current version is always available.

 

Flash drives replace CD's                                                                   

I had a problem burning some CD's for people who had ordered them. I considered buying a new CD burner when Ted mentioned that CD's are just plain old. So we decided to offer flash drives instead.  Anyone ordering answer keys on CD's will instead receive your material on a cool 256 meg flash drive which is yours to keep. If you'd rather have a CD, just email us and we'll send that out instead.

 

It's Here! - Demsytifying the Multiple Choice AP Exam          

A companion piece to Demystifying the AP Free Response exam has been written - this one concentrating on multiple choice problems. There will be two versions, 135 sample problems that have been organized as to topic for the AB exam and 80 sample problems that have been organized as to topic for the BC exam. As usual, these will be available FREE OF CHARGE. There will also be an option to get these problems reorganized in AP exam format - 28 non calculator problem and 17 calculator-active problems. There will be 3 such exams for the AB section and 4 such exams for the BC section. No longer serach for multiple choice questions on certain AP Calc topics. Check it out!

 

The Demystifying Page

 

AB and BC Clue Games Revised                                                          

Without changing any problems, the AB and BC Clue games have been revised. Graphics have been improved, especially in those problems where students need to use geometric methods to calculate definite integrals. All solutions have been boxed and a few typos fixed. Most important is a 30th problem set that allows teachers to pull out any of the 30 problems to have different possible solutions to the mystery, in case of a former student telling current students the solution. People who have ordered the AB and/or the BC game should have received the new links via email.

 

Introductory Pages to the AB Manual.                                                 

Many people have asked me why the AB manual starts on page 10. The answer is that I had an introductory section that was meant to give students a feel for calculus before getting down to the nitty-gritty. I never felt comfortable about making it available until I revised it and here it is.  Teachers who ordered the solution version of the AB manual will receive a link to the solutions to this introductory in the next few days. And now the manual starts at page 0!

 

New and Revised - the AB Exam Review sheet.                                

Many of you have used my AP exam review sheet - the one that asks students what they would do when they see certain words:

 

Like - Find the equation of the tangent line to f at x = k should be interpreted as taking the derivative of f and using the point-slope formula at x = k.

 

Many of you have commented on how effective that review sheet is right before the exam. But I have never liked its look and it has been completely revised in order to give students more room to write in the answers.  Best of all, the solutions are included in the document and are COMPLETELY FREE!  It is available now.

 

There are two versions of the review: The first one (#49) gives the questions in the typical order you taught them - starting with limits, through differential calculus and integral calculus. The second one (#50) gives the question in random order. While the second one is more representative of the AP exam, the first one is better for studying purposes.

 

Both files are 4.7 megs so they will take some time to download. The BC versions of this review will be out in a couple of weeks.

 

The reviews are at the bottom of the AB Manual Calculus section of this website or you can download them directly from here:

 

Review 1                         Review 2

 

AB and BC Exams Updated                                                                 

 

There have been updates to the AB and BC exams, with the BC exams completed 2/25/11. The solutions have now been boxed and many explanations are more thorough.

 

Also, there are now AP free response-type questions that have been added to both sets (7 for AB, 11 for BC). While I would use the new Demystifying the AP exam for review purposes, these new exams can be given throughout the year to show students that the routine nature of typical exams are not representative of what students need to do on the AP exam. For people who have purchased solutions of either set of exams, you are entitled to the reviwed solutions. Feel free to contact me at team@mastermathmentor.com.

New --- Math Madness                                                                       

 

A Math Tournament reminiscent of the NCAA Basketball Tourney complete with brackets and seedings and upsets is now available under Additional Materials. It isn't calculus but it allows your students to vie for the Kings of the school. 80 questions and answers along with a scoring program and full instructions are all FREE. Just click on the Math Madness link.

 

Updates/Errata now available                                                           

With so much material available on the MMM site, it is inevitable that errors creep in.  Many users of this website have kindly informed me of errors and I check out them all and if necessary, make changes to the documents and upload them to our server. But how do you know about the errors?  Some of you have told me of errors that have long been changed.

 

The Update/Errata page lists the documents that have been changed in the past three months, whether it is to student versions or solution versions. Checking this page periodically ensures you will have the most current version of all documents.  Student versions can be re-downloaded from the website, and if you purchased a solution, you can get the replacement file as well.  Update/Errata can be obtained using the yellow option on the left menu or by clicking on this link:

 

Click here to go to the Update/Errata page.

 

Demystifying the AB Calculus Exam - now available                     

Demystifying the BC Calculus Exam - (NEW!)  now available      

 

The story is always the same: A teacher has covered the entire AP Calculus AB or BC curriculum and feels good that he or she has addressed the entire gamut of problem types.  Yet, when the students look at the actual free-response questions in the exam, they wonder "when was that taught?' and "did we ever do a problem like that?' Frequently, these students are befuddled, especially when they haven't spent a lot of time reviewing past AP released exams.

 

With that concept in mind, these guides covers a good many topics that research has shown to have been part of most Advanced Placement Calculus AB and BC free-response questions in the past 20 years. I first look at them as separate entities, and then quickly see how they are incorporated into an actual AP test type problem. Finally, several of these topics are put together to mimic what students will see in the actual AP Calculus Exam.  Best of all, they are FREE!

 

There are two manuals available - one for AB and one for BC;

  AB - a 74-page worksbook with 101 examples.

  BC - a 56-page workbook with 79 examples.

Most of the problems have subparts, just like actual AP free response questions.

 

Students will learn to recognize the multifaceted nature of complex problems and how to approach the challenge.  These guides will provide an in-depth level of understanding so that students do not spend time in the actual AP Exam scratching their heads!

 

     Click here to access the new AP Exam Prep Materials!

 

Multivariable Calculus                                                                       

More and more schools are looking to put in a course beyond BC Calculus. I was in that position 3 years ago and developed such a course as part of a dual credit program with a local community college. I have taken the extensive amount of material I developed and made it available on this website.  If you are in this situation, not having seen this material in many a year (let alone teach it), this is something you will want to check out. Either go to the Calculus section on this website or simply click the link below:

   Multivariable Calculus Course - Click Here!

 

 Calculus JEOPARDY                                                                         

Did you ever wish that you had more AP-type multiple choice problems for review? The released exams are great but they are few and far between. Well, get ready for Calculus JEOPARDY. This game, played like the Alex Trebek version will give you 5 problems in increasing order of difficulty in 24 different categories. There will be a JEOPARDY, Double JEOPARDY, Triple JEOPARDY and a BC Triple JEOPARDY plus two final JEOPARDY problems. Add that to the 15 sample questions that will be available on the web page and that is 137 questions that cover the entire curriculum.  

 

These questions are challenging as well - not the usual "take the derivative of 2x".  Included in the game will be a spreadsheet scoring device that will allow you to keep track of how much money students have won.  This will be a game that you can use to review for the AP exam or use daily for warmup problems.

 

     CLICK HERE FOR CALCULUS JEOPARDY!

 

New AP Statistics Game                                                                        

Download PERDI now! A Bingo-like game that will help students prepare for the AP Statistics exam. And it is FREE!  Click here.

Free Calculus and Precalculus Lessons on Video                                 

We recently became aware of a fantastic resource online.  Brightstorm (www.Brightstorm.com) has high quality videos from very good teachers, explaining most of the topics in Pre-Calculus and Calculus. The videos are FREE with registration on the site. With each topic, the teacher explains the concept, and usually walks through a few sample problems. Here are a few examples of specific Pre-Calculus and Calculus topics at Brightstorm:
Product Rule    Chain Rule    Graphs of the Sine and Cosine Functions

We have more extensive list of Brightstorm's Calculus and Pre-Calculus videos on our resources pageClick here.

 

 A.P. Statistics On-Line                                                                        

As of 9/2009, A.P. Statistics has come on line with packets, worksheets, exams, projects and Fathom assignments. There are over 80 items you can download, all for free.

Probability On-Line                                                                            

As of 9/2009, we have a traditional probability and statistics manual that covers permutation and combinations as well as basic statistic concepts.  Tests for each section are also available.  This material including answers is completely free.

Pre-Calculus On-Line                                                                         

As of 6/2008, there is a brand new Precalculus center! The entire set of Precalculus materials has been revised - over 40 items free for you to download. There is also a game similar to the Clue game in the Calculus section called America Has Talent. Come check it all out! Click Here.

New applet added!                                                                        
Check out Mike May's new applet that demonstrates volumes of rotations when squares, isosceles triangles are created perpendicular to the x-axis. http://www.slu.edu/classes/maymk/banchoff/SolidsOfIntegration.html
MasterMathMentor.com has been launched!                                   

MasterMathMentor.com has been officially launched - and what a whirlwind!
On Monday, May 7th, 2007, Stu, author of the materials posted on MasterMathMentor.com, sent a single list-serve announcement of his new website and the free calculus materials available for download.  The response was tremendous.  Having been broadcasted around 8:30pm that Monday evening, people began visiting the website within 1 hour.  Up until that day, there had only been a handful of visitors - mostly those of us developing the materials and friends who had offered to reveiw the website for quality and accuracy.  Within 3.5 hours (by midnight) there had already been over 108 visitors from all across the USA, according to Google analytics, and over 3,500 page views.  There had also been over 700 downloads!  Additionally a flood of positive accolades came pouring in via email from colleagues.

The next day continued the swell of visitors.  Over 800 visitors.  Over 14,000 page views.  Awesome.  Truly awesome.

As the week went on, the number of visitors has toned down a bit to a steady stream, but there continues to be a strong amount of traffic, downloads, and accolades.  To date there have been over 11,000 downloads, the most popular being the "Summer PreCalculus" packet.

Thank you to all who have taken an interest in this material.  It is such a compliment and quite rewarding to know that this material will be of use for other students around the US and world.