“A Little Calculus”

A Little Calculus is an app for iPad and iPhones. While I don’t usually do product reviews, I think this one is so good that I am making an exception. There are many good websites that illustrate calculus concepts. Many of them, however, do not allow teachers to enter their own examples; they must use…

Comparing the Graph of a Function and its Derivative

The fourth in the Graphing Calculator / Technology series Comparing the graph of a function and its derivative is instructive and necessary in beginning calculus. Today I will show you how you can do this first with Desmos a free online graphing program and then on a graphing calculator. Desmos does this a lot better…

iPads

At the school where I am teaching this year, all of the students, K – 12, are issued iPads. Whether this is the coming thing in education or not, I cannot say. I like the idea, but then I like technology in teaching and learning. My school issued iPad is my fourth. I offer today…

Socrative

As you may know I have unretired this year and gone back to high school teaching; I’m filling in for a friend who is on sabbatical. It turns out that this takes a lot of time and so I’ve been writing very little and perhaps neglecting my blog. Today I would like to share a…

Far Out!

A monster problem for Halloween. A while ago I suggested you look at  , which using the dominance idea is zero. Of course your students may try graphing or a table. Here’s the graph done by a TI-Nspire CAS. Note the scales. This is not the way to go. Since the function is increasing near the…

The Derivative II

(In this activity I am paraphrasing and expanding the suggestions of Alan Lipp in a posting “Derivatives of Trig Functions” August 29, 2012 to the Calculus Electronic Discussion Group.) This activity parallels the one in my last post here using technology. Enter the function you are investigating as Y1 in your calculator. Later you will…

Local Linearity II

Using Local Linearity to introduce difference quotient and the derivative. A good way to introduce difference quotients and derivatives is to write the equation of the “line” you see when you zoom-in on a locally linear function. First: Ask your class to use their calculator or computer grapher to graph a function, say y =…