# Activities

• • • ##### Subject Area

• Math: Algebra I: Expressions

• ##### Author 9-12

60 Minutes

Derive™ 6

Tables

#### 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.

• 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