starting over

May 2016

The AP Calculus year is almost over. The exam is a few days away. I hope you kids do well. They say, that being a teacher, no matter how well you do your job you have to start over again next fall. I guess I can’t argue with that. AP Calculus teachers are no different,…

shoe 2

April 2016 – Exam Review

This is a copy of my March 2016 post. It is review time and here are the links to my post on reviewing for the AP Calculus Exams This year’s AP Calculus exams are on the morning of Thursday May 5, 2016. This month AP Calculus teachers will continue their review for the exams. The links to past…

Foxtrot2

What is a Solution?

“How does one solve x + ln(x) = c algebraically?” A teachers asked that on the old calculus electronic discussion group (EDG) and it got me to thinking about what a “solution” really is. We start by teaching students how to solve linear equations; the idea is to do some arithmetic and/or algebraic operations on…

get-a-5

March 2016 – Exam Review

These year’s AP Calculus exams are on the morning of Thursday May 5, 2016. Later this month or early next month AP Calculus teachers will begin their review for the exams. The links to past posts on getting ready and reviewing for the exams are below. I’m posting them ahead of time so you will…

baserunners 2-8-16

Good Question 9

This is a good question that leads to other good questions, both mathematical and philosophical. A few days ago this question was posted on a private Facebook page for AP Calculus Readers. The problem and illustration were photographed from an un-cited textbook. Player 1 runs to first base [from home plate] at a speed of…

cuneifirm tablet

Trapezoids – Ancient and Modern

The other day, in the course of about 10 minutes, I came across two interesting things about Trapezoidal approximations that I thought I would share with you. The first was a link to a story about how the ancient Babylonian astronomers sometime between 350 and 50 BCE used trapezoids to, in effect, find the area…

February 2016

As I hope you’ve noticed there is a new pull-down on the navigation bar called “Website.” For some years I’ve had a website at linmcmullin.net that lately I’ve been neglecting. I decided to close it in the next few days, and therefore, I move most of the material that is there to this new tab. The…