# Activities

• • • ##### Subject Area

• Math: Math General: General

• ##### Author College

60 Minutes

• TI-86
• ##### Other Materials
This is Activity 1 from the EXPLORATIONS Book: Using the TI-86 in Collegiate Mathematics: A Tutorial

## Getting Started and Graphing Fundamentals

#### Activity Overview

In this activity, students explore the important computational, algebraic, tabular, and editing features of the TI-86, with simple numerical examples. They also investigate its advanced graphing capabilities.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 1 - 22 from the attached PDF file for the class
• #### During the Activity

Distribute the pages to the class.

• Explore how to enter and edit values for variables in the Compound Interest formula and calculate the amount present after 15 years for the investment
• Change the values and compute the new amount
• Store the values for the variables in the formula and compute the amount present after 15 years

• Use the Table feature to tabulate how a principal amount invested at a particular rate compounded monthly grows each year
• Specify the function, and the starting and incrementing values
• Generate the table of values

• Enter the function(s) in the graphing editor and set the window settings to view the graph
• Experiment with the seven different graphing styles available
• Use the Trace feature to determine the intersection point of two graphed functions
• With the help of the zoom-in feature, get better estimates of the coordinates of the intersection point
• Understand how Zoom factors change the window values

• Enter and graph a composite function y3 = y1 + y2
• Observe that y1, y2, and y3 are graphed in sequence
• Use the Select feature for graphing individual functions
• Evaluate the graphed functions for values of x between xMin and xMax

• Select options from the Format graph menu to alter the presentation of the graph
• With the help of the ZSQR option, make the length of one unit on the x-axis equal to one unit on the y-axis
• Improve the graphing resolution by understanding the Xres variable
• #### After the Activity

Students solve problems on the exercise page.

Review student results:

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