Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Probability and Random Variables

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 5 from the EXPLORATIONS Book:
Exploring Mathematics with the Probability Simulation Application

#### Activity Overview

In this activity, students simulate the spread of a disease in a population. They use the Probability Simulation application to learn that certain sums occur more often than others because of combinations of addends of those sums.

#### Before the Activity

Install the Probability Simulation Application on the calculator using one of these two methods:

• TI Connect™, a TI Connectivity Cable, and the Unit-to-Unit Link Cable
• TI-Navigator™ "send to class" feature
• See the attached PDF file for detailed instructions for this activity
• Print pages 61 - 66 from the attached PDF file for your class

#### During the Activity

• Assign random numbers to students
• Allow students to move around in a classroom
• Note the ID of the student they come in contact with
• Start the Probability Simulation Application
• Students use the application to simulate the rolling of 2 dice and record the sum
• Randomly select an ID that represents the first person to be infected
• Randomly select a sum that represents a contagious outcome
• Contagiousness is determined by using the simulation to roll 2 dice and recording the sum
• Students note down encounters with the infected person and also if the person is contagious
• Identify newly infected students
• Graph the stage number versus the number of people infected at that stage and observe trends
• Observe that in the list of all possible sums of two dice, certain sums are more likely to occur
• Understand how more students get infected as the stage number increases
• #### After the Activity

Students will complete the Student Worksheet and answer questions.

Review student results:

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