Activity Detail

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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

  • Set up the CellSheet™ on the calculator using the TI Connect™
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 22 - 30 from the attached PDF file for your class


  • During the Activity

    Distribute the pages to your class.

    Follow the Activity procedures:
  • 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


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    Subject Area:
    Math : PreAlgebra : Number Sense and Operations

    Author:
    Texas Instruments

    Level:
    9-12

    Activity Time:
    60 Minutes

    Device:
    TI-83 Plus Family, TI-84 Plus Family

    Apps:
    CellSheet™

    Software:
    TI Connect™

    Accessories:
    TI Connectivity Cable

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

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