Education Technology

# Activities

• ##### Subject Area

• Math: PreAlgebra: Number Sense and Operations

9-12

60 Minutes

• ##### Device
• TI-83 Plus Family
• TI-84 Plus
• TI-84 Plus Silver Edition

TI Connect™

• ##### Accessories

TI Connectivity Cable

• ##### Other Materials
This is Activity 3 from the EXPLORATIONS Book:
Exploring Mathematics with the CellSheet Application

## Finding the Maximum Product

#### Activity Overview

In this activity, students use the CellSheet™ Application to organize data. They solve a problem of finding two positive integers equal to or greater than zero with a given sum and the maximum product.

#### Before the Activity

• Install CellSheet™ on the calculator using the TI Connect™
• See the attached PDF file for detailed instructions for this activity
• Print pages 23 - 29 from the attached PDF file for your class

#### During the Activity

Distribute the pages to your class.

• Open the CellSheet Application on the calculator and start a new spreadsheet
• Enter the values of the first integer starting from zero
• Enter the values of the second integer so that the sum of the 2 integers is the sum specified
• For each set of integers find the product
• Observe the trend in the product data generated
• Graph the positive integer value and the product data
• Determine the 2 positive integers whose sum is the value specified and has the maximum product
• #### After the Activity

Students will complete the worksheet and answer questions.

Review student results:

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