Education Technology

# Looking at Statistics Through Circles

Math: Geometry: Circles
Math: Statistics: Inferential Statistics
9-12
60 Minutes
TI-30X IIS
This is Activity 15 from the EXPLORATIONS Book:
Math Investigations with the TI-30X IIS: Activities for Secondary Mathematics

The following materials are needed for this activity:
• String
• Ruler
• Graph paper
• Spaghetti
• Glue
• Several round objects of various sizes
• Cardboard paper towel tube and an oatmeal box
Lessons

# Looking at Statistics Through Circles

Activity Overview

Students will measure round objects to determine the circumference and diameter, and use the data to explore geometric concepts of the circle with statistics.

Before the Activity

• See the attached PDF file for detailed instructions for this activity
• Print pages 148 - 149 from the attached PDF file for your class
• During the Activity

Distribute the pages to the class.

• Measure the diameter and circumference for each round item and record the values in a table
• Explore the relationship between the circumference and diameter
• Observe that the ratio of circumference to the diameter is the same for all round items
• Plot the circumference versus diameter data
• Draw a best-fit line and determine its slope
• Measure the diameter of the cardboard paper towel tube
• Use the graph to estimate the tube's circumference
• Use the calculator to find an equation for the line
• Use this equation to predict the circumference of the tube
• Measure the circumference of the tube and compare it with the prediction and the estimate
• Similarly, determine the measure of the diameter of the oatmeal box
• After the Activity

Students complete the Student Activity pages.

• Review student results
• As a class, discuss questions that appeared to be more challenging
• Re-teach concepts as necessary
Math: Geometry: Circles
Math: Statistics: Inferential Statistics
9-12
60 Minutes
TI-30X IIS
This is Activity 15 from the EXPLORATIONS Book:
Math Investigations with the TI-30X IIS: Activities for Secondary Mathematics

The following materials are needed for this activity:
• String
• Ruler
• Graph paper
• Spaghetti
• Glue
• Several round objects of various sizes
• Cardboard paper towel tube and an oatmeal box
Lessons
iPad is a trademark of Apple Inc., registered in the U.S. and other countries.
Vernier EasyData,Vernier EasyLink and Vernier EasyTemp are registered trademarks of Vernier Science Education.