Interactivate: Stem-and-Leaf Plots

Abstract

This lesson is designed to introduce students to stem-and-leaf plots.

Objectives

Upon completion of this lesson, students will:

have been introduced to the notion of stem-and-leaf plots.
have learned the terminology used with stem-and-leaf plots.
have used stem-and-leaf plots to calculate the mean, median, and mode of a set of data.

Standards Addressed:

Grade 10

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating, making predictions, describing trends; drawing, formulating, or justifying conclusions).

Grade 3

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, or justifying conclusions).

Grade 4

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating; drawing or justifying conclusions).

Grade 5

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating; drawing or justifying conclusions).

Grade 6

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating; drawing or justifying conclusions).

Grade 7

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating, making predictions; drawing or justifying conclusions).

Grade 8

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating, making predictions, describing trends; drawing, formulating, or justifying conclusions).

Grade 9

Statistics and Probability
- The student demonstrates an ability to classify and organize data.
- The student demonstrates an ability to analyze data (comparing, explaining, interpreting, evaluating, making predictions, describing trends; drawing, formulating, or justifying conclusions).

Textbooks Aligned:

Student Prerequisites

Arithmetic: Student must be able to:
- perform integer and rational arithmetic
Technological: Students must be able to:
- perform basic mouse manipulations such as point, click and drag
- use a browser for experimenting with the activities

Teacher Preparation

Access to a browser
pencil and paper
Copies of supplemental materials for the activities:
- Worksheet To Accompany "Stem-and-Leaf Plots"

Lesson Outline

Focus and Review

Remind students of what they learned in previous lessons that will be pertinent to this lesson and/or have them begin to think about the words and ideas of this lesson:

Entertain a discussion about mean, median and mode with the class. If this has already been covered, ask the class to recall what was learned about the topics.

Objectives

Let the students know what they will be doing and learning today. Say something like this:

Today, class, we will be talking about stem-and-leaf plots, which are used to help us statistically analyze sets of data.
We are going to use the computers to learn about stem-and-leaf plots, but please do not turn your computers on or go to this page until I ask you to. I want to show you a little about the program first.

Teacher Input

When the students understand mean, median, and mode, lead the class in a discussion of stem-and-leaf plots.
Open your browser to Stem-and-Leaf Plotter in order to demonstrate this activity to the students.
You may choose to model the entering of a set of data into the Stem-and-Leaf Plotter. Ask the class to suggest scores that might have been made on the last math test in the class.
After entering the data into the applet, you may choose to have a student explain to the class what the stem-and-leaf plot means. Have the student use the correct terminology when explaining the plot.
Ask the class for questions and be sure that everyone understands how to use the applet.

Guided Practice

Once you have verified that there are no questions regarding the use of the applet, pass out the Worksheet to accompany "Stem-and-Leaf Plots".
Walk the students through entering the data and finding the mean, median and mode for problem number 1.

Independent Practice

Have the students finish the worksheet. Allow the students to work independently or in small groups as you monitor the room for progress.

Closure

It is important that every student know the correct answers to the worksheet in order to fully understand stem-and-leaf plots. In particular, ask them to think about what it means for the mean to be bigger than or smaller than the median. Have them look at their plots and see that if the data are symmetric, the mean and median are close together, but if there are extreme low values, the mean is pulled down, and if there are extreme high values the mean is pulled up.

Alternate Outline

This lesson can be rearranged in several ways.

The students may create their own sets of data to enter into the Stem-and-Leaf Plotter.
Students may challenge a friend to find the mean, median, and/or mode of a set of data that they find or create.
You may rearrange this lesson to meet the needs and ability levels of students in your classroom.

Interactivate

Stem-and-Leaf Plots