logic-spock

MPAC 1 Reasoning

My series on calculator/technology use will continue during the year. Meanwhile, I am starting today a short series about the Mathematical Practices for AP Calculus or MPACs as they are called. Earlier this year I did some work verifying the alignment of several textbooks to the Essential Knowledge (EK), Learning Objectives (LO), and MPACs of…

DQ 6

Seeing Difference Quotients

Third in the graphing calculator series.  In working up to the definition of the derivative you probably mention difference quotients. They are The forward difference quotient (FDQ):  The backwards difference quotient (BDQ): , and The symmetric difference quotient (SDQ):  Each of these is the slope of a (different) secant line and the limit of each as…

calc 2.4

Tangent Lines

Second in the Graphing Calculator/Technology series This graphing calculator activity is a way to introduce the idea if the slope of the tangent line as the limit of the slope of a secant line. In it, students will write the equation of a secant line through two very close points. They will then compare their…

calc 2

Graphing Calculator Use

First in a series.  I am going to (try to) write a series of posts this fall on graphing calculator use in for calculus. Graphing calculators became generally available around 1989 and were made a requirement for use on the AP calculus exams in 1995. The hope was that they would encourage the use of…

aug 2016

Back to School – 2016

BACK TO SCHOOL – The three words we love and we hate. I’ve been touching up the blog a bit this week. I hope the changes will make it easier to find posts on the topics you are interested in, and the blog more useful in general. The THRU THE YEAR tab on the navigation…

tabular130

Parts and More Parts

At an APSI this summer the participants and I got to discussing the “tabular method” for integration by parts. Since we were getting far from what is tested on the BC Calculus exams I ended the discussion and said for those that were interested I would post more on the tabular method this blog going…