MPAC 6 Communicating

Saving the best, or perhaps the most important, until last, MPAC 6 is the verbal part of the Rule of Four. Problems and real life situations are “translated” from ideas or words into the symbols, equations, graphs, and tables where they are examined and manipulated to find solutions. Once the solutions are found, they must…

MPAC 4: Multiple-representations

We used to call it the “Rule of Four.” Maybe that’s why its MPAC 4. MPAC 4: Connecting multiple representations Students can: a. associate tables, graphs, and symbolic representations of functions; b. develop concepts using graphical, symbolical, verbal, or numerical representations with and without technology; c. identify how mathematical characteristics of functions are related in…

MPAC 3 Computing

Continuing our look at the Mathematical Practices today we consider computations. We require students to do computations so that they will learn how to do computations; the answer and the check are just the last steps.  MPAC 3: Implementing algebraic/computational processes Students can: a. select appropriate mathematical strategies; b. sequence algebraic/computational procedures logically; c. complete…

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…