Big or Small: Measure It All
Western Reserve Public Media
 
 

Ohio Virtual Tour: Landfill
Fill It Up — Design a Landfill

 

Overview
In the last lesson, students designed the outline of the landfill. In this lesson, they add the required layers to a working landfill. They design a cross-section of the the landfill, as if they were looking at it from the side.

 

Outcome
Students will understand how to measure length, width and depth, and calculate volume.

 

Standards Addressed — Mathematics

Grade 4
Measurement Units, Benchmark C

02. Demonstrate and describe perimeter as surrounding and area as covering a two-dimensional shape, and volume as filling a three-dimensional object.

Use Measurement Techniques and Tools, Benchmark D
04. Develop and use strategies to find perimeter using string or links, area using tiles or a grid and volume using cubes; e.g., count squares to find area of regular or irregular shapes on a grid, layer cubes in a box to find its volume.

06. Write, solve and verify solutions to multi-step problems involving measurement.

Grade 6
Measurement Units, Benchmark F

01. Understand and describe the difference between surface area and volume.

 

Materials

 

Procedure

  1. Pass out copies of the handout Typical Anatomy of a Landfill and review it with students.

  2. Have the students draw layers two through 14. These are the layers in a working landfill.

  3. Explain to students that in the previous lesson, they designed the landfill as if they were looking down on it. In this lesson, they will be looking at a cross section, or side, of the landfill.

  4. Pass out copies of the Fill It Up: Design a Landfill handout.

  5. Review the directions.

  6. Monitor students as they begin to draw their landfills. Remind them that they are adding length, width and depth.

  7. When students have finished, have them share their drawings.

  8. Distribute copies of the Sanitary Landfill: Final Report handout. Students should record their measurements. Alternatively, students could record their measurements as they draw them. Tell them to leave the volume column blank for now.

  9. Discuss how the volume might be calculated. Have students generate strategies for getting the volume.

  10. Have students calculate the volume of each layer to complete their reports.

  11. Extension: Ask groups of students to use their understanding of ratio and proportion to draw murals of their sanitary landfill designs. Murals could show aerial views and side views of landfills.

 

Evaluation
Assess each student’s understanding by checking handouts. The depth of the landfill is 12 feet, but the volume will vary according to the length and width of each student’s design.

Wrote the length, width and volume of each of eight areas (3 points each). 24 points
Wrote the length, width and area of two areas (3 points each). 6 points
Final measurements of the landfill (3 points each). 12 points
Total 42 points

 

 

 

pbs.org
Copyright©2007, Northeastern Educational Television of Ohio, Inc. All rights reserved.