Big or Small: Measure It All
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Ohio Virtual Tour: Wright-Patterson Air Force Base
Wright-Patterson Air Force Base Measures Up — Making a Runway

 

Overview
The runways at Wright-Patterson Air Force Base need to be resurfaced. Students draw diagrams, write reports and use calculations to determine the quantity of surface materials that are needed for the project.

 

Outcome
Students will use a real-life scenario to practice finding perimeter, surface area and 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
06. Write, solve and verify solutions to multi-step problems involving measurement.

 

Grade 5
Measurement Units, Benchmark G

03. Demonstrate and describe the differences between covering the faces (surface area) and filling the interior (volume) of three-dimensional objects.

04. Demonstrate understanding of the differences among linear units, square units and cubic units.

 

Materials

 

Procedure

  1. On a map of Ohio, show the class Wright-Patterson Air Force Base and/or use the Google Earth feature to find the satellite view.

  2. Reference the History of Wright-Patterson Air Force Base handout as a resource for teaching the class about its history.

  3. Hand out the Airport Diagram page and discuss how the shorter of the two runways is surfaced with asphalt and the longer is part concrete and part asphalt. It might be worthwhile to take students outside to show them the difference between asphalt and concrete, if possible.

  4. Tell the class that Wright-Patterson has decided to resurface its runways so that they are entirely concrete. The class is going to act as if they are various companies competing for the job, which would pay a great deal of money.

  5. Divide the class into teams, each of which represents a concrete company. If you’d like, have the students decide on a company name.

  6. Describe how the jets that land there are particularly heavy and will need a very solid base. Airport runways are generally 1 foot of concrete with 2 feet of base material beneath that.

  7. Model the drawing of a three-dimensional rectangle, with the top third scored to represent a different material. Leave that drawing visible for students as a pattern while you are working. (You could also make a sample by using a shoe box with clear wrap on one side and three layers of different types of material.)

  8. Students should be told that the Wright-Patterson people are Air Force people, not concrete workers. Therefore, when the students present their information, they must do it in three separate ways — pictures, words and numbers — to make sure the Wright-Patterson people will understand what they are talking about.

  9. Use the classroom floor’s dimensions as a model, using pictures, words and numbers to depict how it would be resurfaced with 1 foot of stone and 1 foot of concrete. (The students can help determine the measurements.) This example also can be used to set the standard for what is necessary in order to complete the project correctly.

  10. If necessary, work through the shorter runway together as a class to model the procedure and processes again. Then remind students that the second runway is already part concrete, so there will be some necessary new steps in that example.

  11. Allow the teams to work together to complete their drawings, descriptions and computations.

  12. Have students present findings to the class and discuss results.

  13. Enhancement: Students who have a good grasp of this might convert their square foot measurements to square yards of cement. They can do the How Much Cement? handout.

 

 

Student Handout Answers

View the Wright-Patterson Air Force Base “Numbers” answer sheet and How Much Cement? answer sheet.

 

Evaluation

Category
4
3
2
1
Diagrams and Sketches Diagrams and/or sketches are clear and greatly add to the reader’s understanding of the procedure(s). Diagrams and/or sketches are clear and easy to understand. Diagrams and/or sketches are somewhat difficult to understand. Diagrams and/or sketches are difficult to understand or are not used.
Explanation Explanation is detailed and clear. Explanation is clear. Explanation is a little difficult to understand, but includes critical components. Explanation is difficult to understand and is missing several components OR was not included.
Mathematical Concepts Explanation shows complete understanding of the mathematical concepts used to solve the problem(s). Explanation shows substantial understanding of the mathematical concepts used to solve the problem(s). Explanation shows some understanding of the mathematical concepts needed to solve the problem(s). Explanation shows very limited understanding of the underlying concepts needed to solve the problem(s), or is not written.
Neatness and Organization The work is presented in a neat, clear, organized fashion that is easy to read. The work is presented in a neat and organized fashion that is usually easy to read. The work is presented in an organized fashion but may be hard to read at times. The work appears sloppy and unorganized. It is hard to know what information goes together.

 

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