Activity Detail
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Partitions--How Many Ways Can we Split a Number?
 


Activity Overview

In this activity, students explore multiple representations of positive integers. They also learn how to partition positive integers using the number line.

Before the Activity

  • Access the NUMLINE application and select the Number Line option
  • If you do not have the NUMLINE APP download it from: < a href="http://education.ti.com/educationportal/sites/US/productDetail/us_number_line_73.html">NUMLINE APP
  • See the attached PDF file for detailed instructions for this activity
  • Print pages 54 - 56 from the attached PDF file for your class

    		•

    		During the Activity

    		Distribute the pages to the class.

    Follow the Activity procedures:
  • Find the number of partitions for the number 3
  • Enter 1 + 1 + 1 as the first partition and observe the number line
  • Enter 1 + 2, 2 + 1, and 3 and observe the number line
  • Observe that there are three unique ways to split the number 3
  • Similarly, find the number of partitions for the number 6, and sketch the expressions
  • Predict the number of partitions for numbers 1 through 10
  • Use the number line, cups, and marbles to determine the exact number of partitions possible for each number and compare with the prediction

    		After the Activity

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

    		Other Downloads




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    Subject Area:
    Math : PreAlgebra : Number Sense and Operations

    Author:
    Texas Instruments

    Level:
    5-8

    Activity Time:
    60 Minutes

    Device:
    TI-73 Explorer™

    Apps:
     

    Software:
     

    Accessories:
     

    Other:
    This is Activity 7 from the EXPLORATIONS Book:
    Walking the Line: Activities for the TI-73 Number Line.

    The following materials are required for this activity:

  • Paper cups
  • Marbles


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