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This lesson provided by:
Author: Joquitta Posey
System:Cullman County
School:West Point Middle School
Lesson Plan ID: 24049
Title:

BOX-AND-WHISKER--With a Bed Sheet

Overview/Annotation:

The class will make a list of all of their classmates heights, ages in months, and shoe sizes. They will then use this data to create a human box-and-whisker plot.
This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.

Content Standard(s):
MA2013(6) 29. Summarize numerical data sets in relation to their context, such as by: [6-SP5]
MA2013(8) 25. Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8-SP1]
MA2013(9-12) Algebra41. Represent data with plots on the real number line (dot plots, histograms, and box plots). [S-ID1]
Local/National Standards:

NCTM Standards:
1. Numbers and Operations
2. Algebra
4. measurement
9. Connection 10.Representation

Primary Learning Objective(s):

Students will analyze data to create a box-and whisker plot.

Additional Learning Objective(s):

Students will be able to see visibly through representation the different quartiles and medians of the data collected.

Approximate Duration of the Lesson: 31 to 60 Minutes
Materials and Equipment:

Paper and Pencil for each student
a bed sheet
tape measures

Technology Resources Needed:

Computer with Internet access and an LCD projector.

Background/Preparation:

Students should be familiar with the measures of central tendency.

Procedures/Activities:
1.)Create three lists on the board, overhead or chart paper. Title one list Height In Inches, one list Age In Months, and the last list Shoe Size.

2.)Have students figure how many months old they are and have them work with a partner to find their height. Collect the data from the students.

3.)Have the class to record all the data listed in ascending order.

4.)Have the class line up in a line at the front of the room in order from shortest to tallest.

5.)Odd number of students: . Have the student in the middle step forward. Have the class tell you what value this student represent (the median). Next have the student in the center of the group to the left step forward and define them as the lower quartile median and the student in the center of the group to the right step forward and define them as the upper quartile median. Discuss with the students the meaning of each of these values. Ask all the students get step back in line.
Have the student who was the lower quartile median hold one end of a bed sheet and have the student who was the upper quartile median hold the other end of a bed sheet. Also have the median hold the sheet where they are standing.

Even number of students: . Ask the students what happens when you find the median of a set of data that has an even amount numbers. They should respond by saying that you add the two middle numbers and divide them by two. Discuss with them since we can't split a person in half that will will just divide the whole group in half. Split the class in half. Have the student in the middle of the lower group step forward and define them as the lower quartile median. Have the student in the middle of the upper group step forward and define them as the upper quartile median. Discuss with the students the meaning of each of their values. Ask all the students to step back in line.
Have the student who was the lower quartile median hold one end of a bed sheet and have the student who was the upper quartile median hold the other end of a bed sheet. Also have the two students in the middle of the entire group hold the sheet where they are standing.

6.)Discuss with students that the sheet represents half the class. And that when a box-and-whiskers plot is created that 50% of the data is in this box. Also discuss that one fourth of the data is to the left of the box and one fourth of the data is to the right of the box. Have students return to their seat and create the box-and-whiskers plot on paper.

7.)Repeat the process for the age and shoe size category.

8.)After you have completed the process for all data go to the Interactivate Webpage and enter the data. This web page will compute the data and create a box-and-whiskers plot. Have the students to compare these plots with the human plot.

9.)OPTIONAL FOR SMART BOARD USERS:
The teacher can download an interactive box-and Whisker lesson from Smart Technologies. (Great Smartboard Lesson)

Attachments:**Some files will display in a new window. Others will prompt you to download. BoxAndWhiskersPractice.doc
grading rubric class participation.doc
Assessment Strategies:

The teacher can use the grading rubric attached which will allow them to evaluate and document student progress while participating in this activity. Box and Whiskers practice worksheet. See attachment.

Extension:

This web site can be used for instructions on creating a box-and-whiskers plot in excel. Peltier Technical Services, Inc.

Remediation:

Students may need to review how to use measurement tools and measures of central tendency. Also, students may need additional practice finding medians of even numbered sets of data.

Each area below is a direct link to general teaching strategies/classroom accommodations for students with identified learning and/or behavior problems such as: reading or math performance below grade level; test or classroom assignments/quizzes at a failing level; failure to complete assignments independently; difficulty with short-term memory, abstract concepts, staying on task, or following directions; poor peer interaction or temper tantrums, and other learning or behavior problems.

Presentation of Material Environment
Time Demands Materials
Attention Using Groups and Peers
Assisting the Reluctant Starter Dealing with Inappropriate Behavior

Be sure to check the student's IEP for specific accommodations.
Variations Submitted by ALEX Users:
Alabama Virtual Library
Alabama Virtual Library

Hosted by Alabama Supercomputer Authority
The University of Alabama at Birmingham
The University of Alabama at Birmingham
The Malone Family Foundation
The Malone Family Foundation
Thinkfinity
Thinkfinity
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