Education Technology

# Activities

• ##### Subject Area

• Math: Statistics: Inferential Statistics

6-8

60 Minutes

• ##### Device
• TI-73 Explorer™
• ##### Other Materials
This is Activity 11 from the EXPLORATIONS Book:
Discovering Mathematics with the TI-73: Activities for Grades 5 and 6

The following materials are required for this activity:
• Small bags of plain M&M's
• Manila paper
• Transparency of circle graph showing actual distribution of colors

## Why Aren't There More Reds in My Bag?

#### Activity Overview

Students use small bags of M&M's® to make predictions, gather data, and display color distribution results in a circle graph. They explore the concept of ratios and sample size.

#### Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 53 - 60 from the attached PDF file for your class

#### During the Activity

Distribute the pages to the class.

• Arrange the M&M's® in each bag in a circle on paper, with the like colors together, and the sides touching
• Draw lines from the center to the points where the color changes and create a circle graph
• Label sections with the color, determine the ratio of a colored M&M to the total M&M's, and express it as a percentage
• Make a category list in the calculator, enter the colors, and the number of each color
• Use the data to set up a circle graph
• Compare the circle graph with the M&M circle
• Repeat the activity for different packets of M&M's, and compare the graphs with the initial ones
• Add data obtained by four students and enter it as a new list and create a new graph
• Combine the whole class data and create a new circle graph
• Compare the graphs to the actual color distribution graph
• Understand the idea of small quantity of data (individual) versus large quantity of data (class)

#### 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