Illuminations: Information Represented Graphically

Information Represented Graphically


What's the Weather?

In this lesson, students analyze information represented by pictographs. Students are asked to discuss, describe, read, write, and make predictions about the graphs and the information they contain.

Learning Objectives

 
Students will:
  • describe and explain information displayed in a pictograph
  • make written predictions from the information

Materials

 
What's the Weather? Activity Sheet
Examples of pictographs (from textbooks or other sources)

Instructional Plan

The activities in this lesson focus on studying a graph that reports the number of students who wore sweaters to school each day for one week. The information is shown in a pictograph. The students are asked to discuss and describe the information and then predict what happened on the basis of the given information. They are encouraged to write an explanation to defend their predictions.

Prior to distributing the activity sheet, ask students if they know what a pictograph is. You may wish to share examples of pictographs, such as those found in math textbooks or ones you have created. Ask students questions such as:

  • How is data represented in a pictograph?
  • What does each picture or symbol stand for?
  • How are pictographs useful for looking at data?

 

Distribute the What's the Weather? activity sheet to each student.

What's the Weather? Activity Sheet What's the Weather? Activity Sheet

Individually, students should read the title of the graph and the words and numbers along the bottom and the side of the graph. As a class, students should describe the information in the body of the graph.

Put students in groups of two or three. Within each group, read and discuss question 1. Ask the students to explain why:

  • the number of sweaters on Monday was small,
  • the number of sweaters increased on Tuesday, and
  • the number of sweaters decreased on Wednesday.

 

Allow enough time in the discussion for every student in the group to offer a suggestion. Repeat for questions 2 through 5. After they have completed these questions, the students can also ask their own questions about the graph and select other members of the class to answer their questions.

 


 

Possible Solutions for the Activity Sheet

Question 1. The temperature changed.

Question 2. The weather was colder than the other days, as more students wore sweaters on Tuesday.

Question 3. No, I do not think someone needed to wear a sweater on Saturday. After Tuesday, less and less students were wearing sweaters, as the temperature was getting warmer.

Question 4. Friday.

Question 5. 5 sweaters (7 - 2 = 5).

Extensions

 
  1. Every day for a week, collect some information that depends on the weather (the number of sweaters, sweat shirts, coats, etc., worn to school) similar to the data shown on the activity sheet. Construct a graph and discuss how to label the information. Have the students make up some questions about the graph and then ask another class to answer the questions.

  2. Construct a temperature graph covering the same period of time as the graph in extension 1. Look at the information in the two graphs and discuss any relationships; for example, when the temperature was between 50 and 60 degrees, about half the class wore coats or sweaters.

NCTM Standards and Expectations

 
Data Analysis & Probability Pre-K-2
  1. Represent data using concrete objects, pictures, and graphs.

References

 
  • Irons, Calvin and Irons, Rosemary.  The Arithmetic Teacher. October, 1991. vol. 39, no. 2.  p 26 - 33.

  
1 period   

NCTM Resources


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