Converting Units and the SR-71


Author: Marta Snarr Bechtol, graduate student (Education), California Polytechnic State University-San Luis Obispo and Robin A. Ward, California Polytechnic State University-San Luis Obispo


Audience: Grades 4 - 6


Mathematical Topics: Problem solving, operations and functions, measurement


Rationale: The NCTM Standards recommend that students in grades 4-6 be able to:

  • Investigate problem situations and apply mathematics;
  • Connect mathematics to other subjects and to the world outside the classroom;
  • Develop number and operations sense;
  • Estimate and use measurement to solve problems.
  • Students in the upper elementary grades need to develop their ability to solve problems and reason logically. These students are ready to use mathematics to explore and make sense of their world. Giving the students an opportunity to convert large units into smaller ones that are more understandable will help them to comprehend their world. Making these conversions will give students practice with measuring and performing arithmetic operations, skills that have been a major part of their math education up to this point. Students will learn how to apply their knowledge in order to solve problems and increase understanding.

    Upper elementary students are energetic and curious. It is important for the teacher to provide stimulating material for them that makes connections to their daily lives. These students need to see the relevance of mathematics to the world around them.


    Background: The SR-71 Blackbird was developed in the 1950's as a reconnaissance plane for the U.S. Air Force. Because it flies at such high speeds and high altitudes, NASA Dryden Flight Research Center and the U.S. Air Force have used the SR-71 for research since the 1960's. It remains the world's fastest and highest-flying plane.

    Recently, the SR-71 has been used for experiments investigating the earth's atmosphere, particularly in protecting and rebuilding the shrinking ozone layer. It has also been used to establish a new personal communications network in conjunction with Motorola. Data received from SR-71 flights will be used in the future to engineer supersonic/hypersonic aircraft for use as commercial carriers.

    The SR-71 Blackbird can fly at Mach 3+, which is more than 2,200 miles per hour. Sound travels around 740 miles per hour. This speed is called "Mach 1." Mach 3+ means more than three times the speed of sound. The SR-71 can fly at altitudes over 85,000 feet. The high speeds and altitudes have a dramatic effect on the plane itself, actually causing it to expand during flight and heat up to temperatures of up to 800 degrees Fahrenheit.

    In this activity, the students will be able to better comprehend the distance, speed, and temperature associated with the SR-71 Blackbird aircraft, by re-expressing units of measurement into terms with which they are familiar. The students will draw on their addition/subtraction and multiplication/division skills to arrive at solutions to the problems.

    View several photos of the SR-71.

    View a movie clip of the SR-71.

    Click here to link to a handy web site that will CONVERT UNITS.


    Materials:

    Picture of the SR-71 Blackbird
    Conversion facts sheet
    Activity worksheet
    Scratch paper and pencils


    The Activity:

  • Begin by showing the students a picture of the SR-71 Blackbird as you describe the aircraft. It is important for the students to understand the reasons behind NASA's continuing research with this aircraft. As you highlight areas of research, promote a discussion as to why the students might think that those reasons are important: i.e., research on the ozone layer, volcano photography, communications devices, satellites, noise reduction, public transportation, etc.
  • Discuss the three aspects of the SR-71 Blackbird that the students will investigate in the course of this lesson, namely: how fast the plane flies (Mach 3+; in other words, 2,200 miles per hour), how high it flies (over 85,000 feet), and how hot it gets at top speeds (up to 800 degrees Fahrenheit).
  • Tell the students that their task is to convert these statistics into more understandable figures so that they can better comprehend the magnitude of these values. Students will use the conversion facts sheet as a help guide.
  • Distribute the activity worksheet and allow the students to work in groups of 2-4 students to solve the problems. Answers do not necessarily have to be accurate to tenths of a point. They may round off numbers. This may be an appropriate time to allow students to use calculators and to discuss decimal place accuracy.
  • Once the students have completed the worksheet, promote a class discussion addressing each of the questions. Allow students to support their responses with other forms of data with which they might be familiar. Encourage the students to make associations with things they know.

  • Enrichment Activities:
    Ask the students to find (with the help of their parents, if necessary) two points in their own town that measure approximately 16 miles apart, the distance at which the SR-71 can fly above the earth. Ask the students to bring in their locations the following day and share their findings.

    Using the Internet, ask students to locate two U.S. cities that are about 2,200 miles apart by either driving distance or as the crow flies. Allow the students to share their findings. Remind the students that the SR-71 could make this trip in less than one hour!

    Ask students to re-express the three aspects of the SR-71 in terms of other familiar items. For example, a spaghetti noodle measures 10 inches. If the SR-71 is flying at a height of 85,000 feet, how many noodles, stacked end to end, would it take to reach the SR-71. Or, how many dollar bills, stacked end-to-end would it take to reach the SR-71 at this height?

    Click here to view another activity in which the speed of the SR-71 is compared to the speed of various every-day items.

    Students can gain more practice with converting units by clicking here and visiting a web site that will CONVERT UNITS.


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  • Funded by the NASA Dryden Flight Research Center


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