Illuminations: Pizza, Pizza!

Pizza, Pizza!


Favorite Pizza Toppings

Using a survey, students collect data about favorite pizza toppings. They create a double-bar graph and discuss their graphs with other members of the class.

Learning Objectives

 
Students will:
  • collect data using a survey
  • make a double-bar graph to display information about their favorite pizza toppings
  • analyze the results from the graph
  • share their findings with fellow classmates

Materials

 
Favorite Pizza Toppings Activity Sheet
Spreadsheet or graphing program (such as Microsoft Excel®)

Instructional Plan

Ask students to get out their homework, the Favorite Toppings activity sheet. In this assignment, students surveyed members of their community to determine people's favorite pizza toppings.

Favorite Toppings Activity Sheet Favorite Toppings Activity Sheet

Students should locate the topping that was most popular (or if there was a tie, then the two toppings) among the people they surveyed (by looking at the first choice column on the activity sheet). On the chalkboard, record each of the types of toppings and a tally mark for each student’s response.

 

 

For example, in the picture above, sausage is the most favorite topping of the group surveyed.

Each student will then create a double-bar graph of their data. Students should use a spreadsheet or graphing program to enter the data. Before starting, have students identify what is being compared for each double-bar (answer: each topping is listed, and then the number of people who chose it as a first choice is shown as a bar next to the number of people who chose it as a second choice.)

Students should have three columns in their spreadsheet file, similar to the three columns on the activity sheet. Then, they can type in the data they collected and use the Chart Wizzard (in Microsoft Excel) to create the double-bar graph.

In their double-bar graphs, students may use two different shadings or colors, one to represent choice 1, and one to represent choice 2. Students should make sure their graphs have a title and that the axes are appropriately labeled.

Once the students have completed their graphs, they can print them out to share with a classmate. In pairs, students can discuss the following questions:

  • How does my graph compare to my own preferences?
  • Are there any similarities between my graph and my partner’s? What are they?
  • What differences exist between our graphs?
  • Could I have set up my graph differently yet still displayed the data clearly and accurately?

 

Once students have had sufficient time to discuss their responses with their partners, return to a whole-class discussion. Have students share some of their findings and observations with the rest of the class.

If time permits, pose the following question to the class for them to think about for tomorrow’s lesson:

If a person is allowed to choose any two toppings (not including "none" or "other", how many different combinations of two-topping pizza are possible?

Students will be exploring this question tomorrow. While not required, students may wish to record this question in a math journal and respond to it.

Questions for Students

 

How does my graph compare to my own preferences?

[Student responses will depend upon their preferences and the data they collected.]

Are there any similarities between my graph and my partner’s? What are they?

[Student responses will depend upon the data they collected as well as their partner's data.]

What differences exist between our graphs?

[Student responses will depend upon the data they collected as well as their partner's data.]

Could I have set up my graph differently yet still displayed the data clearly and accurately?

[Students may suggest that other types of graphs are possible. Ask students to explain and defend their choices.]

Extensions

 
  1. Ask students if a double-line graph would be appropriate for displaying this type of data. Students who are familiar with line graphs should recognize that line graphs are typically used for showing change over time, and therefore they would not be appropriate for this type of data.

Teacher Reflection

 
  • Do any students need further experience with double-bar graphs?
  • Were students able to create double-bar graphs using the technology?

NCTM Standards and Expectations

 
Data Analysis & Probability 3-5
  1. Represent data using tables and graphs such as line plots, bar graphs, and line graphs.
  2. Compare different representations of the same data and evaluate how well each representation shows important aspects of the data.
  3. Collect data using observations, surveys, and experiments.

References

 
  • Sharon L. Young, The Arithmetic Teacher, April, 1991, vol. 38, no.8.  Pp. 28-33.

  
1 period   

NCTM Resources

Principles and Standards for School Mathematics


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