# Activities

• • • ##### Subject Area

• Math: Statistics: Probability and Random Variables

• ##### Author 6-8

60 Minutes

• ##### Device
• TI-73 Explorer™
• ##### Other Materials
This is Activity 12 from the EXPLORATIONS Book:
Discovering Mathematics with the TI-73: Activities for Grades 5 and 6

The following materials are required for this activity:
• 5 paper bags per group
• Red, blue, and green color tiles
• Transparency of the problem on page 68

Gemini Candy

#### Activity Overview

In this activity, students work in groups to collect data and draw conclusions from random samples simulated by drawing tiles from a bag. They represent the data collected in the form of a triple bar graph.

#### Before the Activity

• Prepare five bags labeled A, B, C, D, and E for each group and insert tiles according to the given table
• Understand that two bags belong to twins and contain the same candy
• See the attached PDF file for detailed instructions for this activity
• Print pages 61 - 68 from the attached PDF file for your class
• #### During the Activity

Distribute the pages to the class.

• Draw a tile from a bag and record the color
• Replace the tile, shake the bag, and draw another tile
• Record the number of each color tile drawn and the total number of trials
• Find the probability ratio as a fraction, in decimal form, and as a percent
• Create lists of the probability ratio for each color for all the bags
• Create a triple bar graph with data for each bag, with the bars representing the colors
• Determine which two graphs look most similar and decide which two bags belong to the twins
• Compare actual data with experimental results
• #### After the Activity

Students complete the Student Activity sheet.

Review student results:

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