Home Forums Grades Pre K-2 Grades 3-5 Grades 6-8 Grades 9-12

---

Mathematics Governor’s Institute 2003

Problem-in-a-bag-Template

(Download as Microsoft Word document: Representation of Categorical Data)

Title of Project:

Representation of Categorical Data

Team Members:

Jill Slike, Mary Joyce Teeter, Karen Sheppard, & Christopher McKinney

Grade level and /or Course:

Grades 4 & 5

Concept(s) used:

Collecting and organizing data, Statistics, Data Analysis

PA Standard (s) Addressed:

2.6.5A—Organize and display data using pictures, tallies, table, charts, bar graphs and circle graphs.

2.6.5B—Describe data sets using mean, median, mode and range.

2.6.5E—Construct and defend simple conclusions based on data.

2.5.5C—Shows ideas in a variety of ways, including words, numbers, symbols, pictures, charts, graphs, tables, diagrams, and models.

NCTM Standard(s) Addressed:

Design investigations to address a question and consider how data collection methods affect the nature of the data set.

Collect data using observations, surveys, and experiments.

Represent data using tables and graphs such as line plots, bar graphs, and line graphs.

Propose and justify conclusions and predictions that are based on data and design studies to further investigate the conclusions or predictions.

Introduction / applications:

By collecting, and organizing categorical data in a bar graph students will be able to display and interpret the information.

Question: How to represent data using a bar graph.

Model:

Collect data from students on number of family members/household members. Use the categorical information to create a bar graph with the entire class. The students will then make a bar graph using data from manipulatives in small groups.

Resources and Materials:

-Post-it-Notes

-Markers

-Grid chart paper (22 x 28 minimum)

-4 yard sticks 1 per group

-M&M’s or any multicolored manipulatives/candy

-1 centimeter grid paper (8 ½ x 11)

Procedures &Activities:

A. Guided practice

1. Building on prior knowledge students will review the components of bar graphs.

2. We will construct a bar graph based on the number of family members living in each household. “Family/household” will be defined in each classroom.

3. Choose appropriate intervals for the scale. Identify the (x, y) axis and label them. Create a title on the large grid paper to construct the graph.

4. Discuss the size of families to determine the range.

5. Each student will be handed a post it note to place on the graph above the number corresponding to the number of family members.

6. Discuss and interpret the data on the graph noting the mode and range.

B. Small group activity

1. Each group will categorize candy/manipulatives and construct a bar graph

2. Each student will receive a bag of candy.

3. Students will sort candy by color and combine their data to construct a group bar graph.

4. Display graphs and discuss the results.

Answers / Rubric:

Assessment Rubric:

4—Used appropriate title / labels, and interprets data on bar graphs accurately.

3—Minimal error with title or labels, and interprets data on bar graph with prompting.

2—Has difficulty interpreting data on bar graph and inappropriate labels and title.

1—Does not interpret data on bar graph and is missing labels and the title.

Accommodations :

ESL:

Depending on the culture some may need care / attention to the meanings of words.

Special Ed:

Assist students according to IEP’s. Students will work in small cooperative groups.

Enrichment:

Find the ages of 15 friends, family members, or members of your community. Make a bar graph showing the information. Identify the range and mode for your data set.

---

Home Forums Grades Pre K-2 Grades 3-5 Grades 6-8 Grades 9-12