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Aluminum Cans

3-5
1
Data Analysis and Probability
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Location: Unknown

Students participate in an activity in which they investigate data in connection with recyclable materials and develop plans to help the environment. Students collect data about aluminum can usage and graph that data in a ine plot.

 

853 cola
 
Show an aluminum can. Discuss what students know about such cans.
  • Of what are they made? [Aluminum.]
  • What products are sold in similar cans? [Soda, other soft drinks, juice, motor oil.]
  • What other products are made of aluminum? [Siding for houses, rain gutters, silver paint, mirrors, packaging (i.e., aluminum foil), CD's, and the hood of a Model T Ford.]
  • Why is aluminum an important metal? [It's relatively inexpensive, malleable, and lightweight.]
 

Distribute the Aluminum Cans activity sheet.

pdficon Aluminum Cans Activity Sheet 

Allow time for students to record their own numbers, and poll eight classmates. The data should be recorded in the chart on the activity sheet. A sample chart is shown below.

Name Number of Aluminum Cans
Used Yesterday
 
Me1
Sarah2
Jose0
Wally3
Helene2
Sachin1
Grace3
Billy2
Noel2

Next, each student should create a line plot or bar graph of his or her data. (Or, you may ask half the class to create each type of graph. Then, a rich discussion can occur about the differences between the graphs and the types of information that each shows.) A sample of each type is shown below; the line plot is on the left, and the bar graph is on the right:

853 line plot                   853 bar graph

Have each student look at the line plot and write several things that the graph shows. Students should note the range of numbers on their graphs. Review, as needed, how to figure the mean (average). Have students compute the mean of their sets of data. They may check their calculations by using the calculator.

Discuss ways to compare an individual's can use in a day with the typical American's use of 1500 cans per year (Javna, 1990). Have students compute per-year use and compare it with 1500. They should also work with the group mean, figure the number of can used per year on the basis of this number, and compare the number per year with 1500. Students should use calculators and may check each other's work.

Students should discuss some things they learned from the activity. Discussion questions could include:

  • Were they surprised at their own or the mean for the people they polled?
  • What did they learn about the mean as compared with individual numbers in their data sets?

Have students work individually or in small groups to discuss and write plans for conserving aluminum. A committee should post examples of the plans; alternatively, have students report the plans to the class.

References 

  • Shaw, Jean M. and Firkins, John. September, 1993. The Arithmetic Teacher. p 27-40.
  • Javna, John. 1990. Fifty Simple Things Kids Can Do to Save the Earth. Kansas City, Mo.; Andrews & McMeel.
 

Extensions

  1. Have students gather data for the number of aluminum cans they use each day for a week. They can find a mean number for these data and compare it with the "yesterday's number" used for the graph and with the group mean found on the graph. Have students discuss whether "yesterday's number" or their weekly mean was more typical of the number of can they use.
  2. Let students compile similar data for their family's use of aluminum cans.
  3. Start or expand a school project for recycling cans.
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Data Analysis and Probability

Classroom Paper

3-5
Students participate in an activity in which they investigate data in connection with recyclable materials and develop plans to help the environment. This activity requires students to keep track of their own paper use for a week then interpret their results with partners. After studying information on paper use, students will be ready to discuss ideas and implement plans for saving paper in the classroom.
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Data Analysis and Probability

How to Bag It?

3-5
Students participate in an activity in which they investigate the data in connection with recyclable materials and develop plans to help the environment. Students discuss the pros and cons of using various types of bags at the grocery store. Classmates are surveyed to determine which type of bag is the "best".
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Data Analysis and Probability

Plastic Packaging

3-5
Students participate in an activity in which they investigate the data in connection with recyclable materials and develop plans to help the environment. Specifically, students explore recycling plastic containers.

Learning Objectives

Students will:

  • Gather and graph data about aluminum can use
  • Interpret data, including figuring and displaying the mean of a set of data
  • Develop a plan for future actions

NCTM Standards and Expectations

  • Collect data using observations, surveys, and experiments.
  • Represent data using tables and graphs such as line plots, bar graphs, and line graphs.
  • Compare different representations of the same data and evaluate how well each representation shows important aspects of the data.

Common Core State Standards – Mathematics

Grade 4, Measurement & Data

  • CCSS.Math.Content.4.MD.B.4
    Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection.

Grade 5, Measurement & Data

  • CCSS.Math.Content.5.MD.B.2
    Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Use operations on fractions for this grade to solve problems involving information presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.