Free Response Question Database (4/20/19)
For those teachers who frequent the AP Central website (https://apcentral.collegeboard.org), we have put together a database of free-response questions since the year 1998. It classifies the calculus topics of every question (AB and BC) so that teachers can find free-response problems that cover specific techniques. Available in Excel or PDF. Completely free. Clck on the link to check it out.
Our new matrices unit, which will eventually be included as one of our extra topics in precalculus, is available. This 47-page document covers the basics of matrix operations. It contains some very interesting applications that are not usually taught at the high school level but gives students insight as to why matrices are important. Instructiosn on using the calculator are also included. Its format is the same as our popular precalculus and calulus manuals: classwork and homework. Solution versions also include 2 exams. This is perfect as an add-on to precalculus or as a 2-week topic after the AP exam in calculus or precalc. Click on the link for more information.
Test Your Strength - SAT and ACT (2/18/19)
Similar to the popular Test Your Strength series in AP Calculus, AP Statistics, and now precalculus, TYS for the SAT. and ACT exam measures 24 student skill levels areas in algebra, geometry, trigonometry, and probability/statistics by use of a 72-question multiple-choice exam. An impressive printout tells students where to focus their studies for the upcoming SAT exam. This can be purchased by teachers with a SAT or ACT Rreview course or individual student. Requires Microsoft Excel. Click on the SAT link or ACT link for more information.
Our new probability unit, which will eventually be included as one of our extra topics in precalculus, is available. This 99-page document covers everything that a course in probability should: counting, permutations and combinations, combinational and conditional probability, expected value, as well as different types of distributions. Its format is the same as our popular precalculus and calulus manuals: classwork and homework. Solution versions also include 3 exams. This is perfect as an add-on to precalculus or as a month-long topic after the AP exam in calculus or precalc. Click on the link for more information.
Test Your Strength Precalculus (12/1/18)
Test your Strength has been very successful for AB and BC Calculus as well as AP Statistics. Our latest edition of it is a companion piece to RU Ready for AP Calculus. It is meant to be given to students prior to them starting AP calc in order to give them a detailed report on the precalculus areas in which they are weak. In that way, they have the summer to reinforce those skills and walk into AP calculus secure in the knowledge that their algebra skills are strong. Check it out by clicking on this link.
Calculus Acrostic (8/1/18)
Our subscription for the year is an acrostic game. In 2017/2018, we did a crossword puzzle game that gave students typical AP free response questions. This year's game focuses on multiple-choice. It can be used throughout the year as students solve clues to spell out a quote about calculus or mathematics. There are 3 different acrostics: derivatives, integral, and BC. Teachers enrolled as MMM members will automatically receive new clues every 3 weeks. It will be fun and challenging to play and a smart Excel spreadsheet can be used to give instant feedback. More information can be found by clicking on the link.
A Summer Math Problem
Did you ever have a dream about math? I do occasionally. I had this dream the other night that involved math calculations and I have no idea whether I was trying to do the calculations while alseep or in that limbo land.
The dream involved me running a workshop at a school some morning. For some reason, the particpants were only men. A similar workshop was run in another room for women. In both workshops, everyone was required to shake hands. In the afternoon, both groups got together and all the men shook hands with all the women.
For some reason in the dream, I was interested in whether there were more total handshakes in the morning or in the afternoon. Strange thing to dream about!
I tried to calculate whether there were group sizes when the total morning handshakes and afternoon handshakes were the same. I couldn't find any, but then, I was sort of asleep. It wasn't until I got up and 4 hours later, the dream came to me when I biking. I came home and put together a problem about it.
So concerning the number of handshakes, which is correct? More importantly, can you prove your answer?
(A) There are always more handshakes in the morning.
(B) There are always more handshakes in the afternoon.
(C) There are no group sizes where the number of morning handshakes and afternoon handshakes are the same.
(D) There is a finite number of group sizes where the number of morning handshakes and afternoon handshakes are the same.
(E) There is an infinite number of group sizes where the number of morning handshakes and afternoon handshakes are the same.
Think about it. If you would like the answer, click on the following link.
If after reading through my solution, you have further insight into the problem, write me at firstname.lastname@example.org.
Answers to Calculus Manual 12/25/17
We have added answers to the AB and BC Calculus manuals. Teachers can give this to students who want to check homework answers. Purchasers of the AB and BC solution manuals were sent download links and new purchasers of solutions will automatically receive the answers as well. They are also available as a separate purchase.
Test Your Strength Stat (12/13/17)
50 question diagnostic multiple choice test that cover every aspect of the AP Statistics exam. The student version of the exam is free and the solutions include an amazing Excel spreadsheet that will detail every statistics topic and the student understanding of it. This is a wonderful tool to give a couple of weeks before the AP exam so students can see where their strength and weaknesses lie. Problems are broken down into topics in the 5 major sections of the AP Stat curriculum and further broken down into whether problems are calculation oriented or more based on reading and terminology. This product is quite similar to the wildly successful Test Your Strength: AP Calculus.
R.I.P. - Newton, the Calculus Cat
Newton has made a number of appearances in precalculus, calculus and statistics problems in my materials. Many students fell in love with his antics and in 2006, I decided to make him a part of the website. One of my former students Sam Tsui (now a huge YouTube singing star), drew him into our logo. And when I decided to have cartoons made for my products, Newton played a prominent role. He has been a biker, an archaeologist, and a teacher. He has dived into pools, helped a swami, joined a carnival, and hung from a catenary. He has left this world but he still lives in all these drawings. I won't soon forget him. He was my friend.
Change to Calculus Cache (10/1/17)
Because the AP exam's multiple choice questions contain 4 choices, we have changed Calculus Cache so that all questions now have 4 choices. While the 5-choice version is available upon request, downloading the Calculus Cache student exam questions will get you the 4-choice version. Purchasers of the solutions in Word format can login and when they download the solutions, they will get the 4-choice version. They will also be contacted via email with the download links.
Across & Down (9/1/17)
Getting AP Calculus - Across and Down is a crossword puzzle. However, the clues are calculus problems and the answers are numbers 0 - 9 and negative signs. It covers all aspects of AB calculus and the problems are more straightforward than the tricky AP calculus type question. This is avalable as a subscription ... MasterMathMentor members will receive a new set of clues every week starting September 14. They will be in order of the AP Calculus manual so you can give it to kids from day one of the course. Or you can give it at the end of the year as a review. It will work terrifically as a review for BC students as well. If you are a member of MasterMathMentor, you will receive it by email every Thursday starting in September. Or click on the link below to get the student downloads every week.
For more information, click on the link.
Clue game revision - 7/1/17
The calculus doesn't change but the suspects definitely do. In 2006, we had suspects like OJ Simpson, Paris Hilton, Usher, Kobe Bryant, Martha Stewart, Jack Nicholson, Michael Jordan, John Kerry, Donald Rumsfeld, Kate Winslett, Tony Soprano, Lance Armstrong, Nemo, George Foreman and Emiril Lagasse. What student would recognize these names today? The only remaining names from our original list is Tom Cruise, Bill Gates, and Hillary Clinton. So we revised the clue cards with more contemporary names in the news. Purchasers of the Clue game can email me at email@example.com and I will send you the revised clue cards.
Test Your Strength Calculus - 4/1/17
Test Your Strength is a 50-question multiple choice diagnostic exam that focuses on all aspects of the AP curriculum. The student version is free and the solution version includes an amazing Excel spreadsheet template that quickly grades a student exam and provides a detailed report as to how the student performed in all questions as well as strength and weaknesses in all topics. There is an AB version as well as a BC version that includes both an AB/BC exam, similar to actual AP exam, as well as a BC only exam that focuses as much as possible on strictly BC topics.
AB Test Your Strength
BC Test Your Strength
Ahead of the Curve
This free compendium of 32 mathematical curves with exotic names like conchoids, foliums, pearls, conchoids, cissoids, strophoids, and devil curves are subject to students calculus skills in finding tangent lines, areas, volumes, and arc lengths. Algebraic skills are challenged and students are encouraged to use this workbook in conjunction with a computer graphing app. Read more about it by clicking on the link.
S.A.T.® Clue is completely new and represents the first material on MasterMathMentor.com not written by Stu. It was written by Dr. Sheldon Goldberg who has an extensive knowledge of the S.A.T. Mathematics exam including the recent revisions to the exam. The game is like our popular Calculus Clue game but this one has students determining their future college, future profession, and future city residence by solving clues in the form of sample S.A.T.® math problems. It is fun and instructive and the student version without solutions is available free of charge. Check it out by clicking on this link.