Education Technology


Published on 07/23/2005

Activity Overview

In this activity, students make use of the Derive™ software and explore expansions of binomial expressions.

Before the Activity

  • Install the Derive 6™ software on the computer
  • See the attached PDF or DFW file for detailed instructions for this activity
  • Print the attached PDF file or the DFW file for the class
  • During the Activity

    Distribute the pages to the class.

    Follow the Activity procedures:

  • Enter an expression (x + a)n
  • Set up a table with the power n as the parameter
  • Specify a range of values for n
  • Highlight the developed table and apply the Expand function
  • Generate the table of binomial expansions
  • Define a function f(x) = xn
  • Apply the rule of the function f to different values of x
  • Set up a table for (f(x + h) and f (x))/h
  • Apply the limit process as h tends to zero for each element in the table, and simplify the values
  • After the Activity

    Review student results:

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