Education Technology

Similarities and differences in properties of different families of functions ? An investigation

Published on 07/30/2005

Activity Overview

In this activity, students compare the properties and attributes of different functions.

Before the Activity

  • Download TI Connect™ using the TI Connectivity Cable
  • See the attached PDF file for detailed instructions for this activity
  • Print page 1 from the attached PDF file for the class
  • During the Activity

    Distribute the page to the class.

    Follow the Activity procedures:

  • Use the given set of test-functions to compare and contrast the properties of linear, exponential, quadratic, higher degree polynomial and rational functions
  • Find the gradient of the quadratic function by first principles
  • Use the rule of differentiation to find the derivative for the quadratic functions
  • Use the calculator to find the equation of the tangents
  • Determine the maximum and minimum values for each function
  • Find the derivative of each function
  • After the Activity

    Students answer the questions on the activity sheet.

    Review student results:

  • As a class, discuss questions that appeared to be more challenging
  • Re-teach concepts as necessary