Education Technology

AP® Precalculus Unit 1: Covariation and Rates of Change in Polynomial and Rational Functions

When: Tuesday, Aug. 29, 2023 | 7 p.m. Central time
Technology: TI-84 Plus family, TI‑Nspire™ CX technology
Presenters: Vicki Carter, Katie Martinez

Students typically enter precalculus with rules and procedures for working with polynomial and rational functions. Do your students understand how quantities covary?

Covariation and rates of change are key aspects of scenarios that can be modeled by polynomial and rational functions.

  • Looking at data that covaries and how to communicate the change of one variable with respect to another variable.
  • Considering rates of change over equal-width input intervals.
  • Describing a graph when considering rates of change or the change in a rate of change.
  • Exploring end behavior of polynomial and rational functions.
  • Looking at a data set and performing a linear, quadratic, cubic or quartic regression.
  • Making predictions from the regression equation.


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