LEARN NC

K–12 teaching and learning · from the UNC School of Education

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Learning outcomes

Students will:

  • convert standard measurement into scientific notation.
  • create a scale model of the solar system using metric conversions.

Teacher planning

Time required for lesson

2 hours

Materials/resources

  • metric rulers
  • meter sticks
  • planetary signs (see web address)
  • chalk
  • white paper
  • colored pencils/markers

Technology resources

The instructor will need to access a few websites to gain the information needed for this activity.

Pre-activities

Students should know how to scale up or down and should also be somewhat familiar with exponential notation.

Prior to having the students go outside, determine the scaled distance from the sun to Pluto (58.9 meters) and locate a place large enough for all students to recreate the model.

Activities

  1. Introduce/review scientific notation (see scientific notation worksheet attached).
  2. Review the worksheet and discuss relative sizes, distances, and metric measurement.
  3. Since metrics are base 10, creating scaled down models are simple. Students use the metric measurement given in standard form and “move the decimal.” For instance, Mercury is 58000000 km from the sun. Venus is 6100000000 km from the sun. The scale would be .58 meters for Mercury and 61 km for Venus.
  4. Complete a chart as a class or individually (but check!) of the metric conversion.
  5. Students then are assigned roles of planets and moons.
  6. Move to an outside location. Starting from the sun, each planet must be located by measuring the distance from the sun. Students stand where their measurement indicates and the “moons” orbit the planets.
  7. Once all students are in place, have
    them note the relative distances.

  8. Once completed, bring the students back in and discuss relative distance, placement of the planets, and metric conversions.
  9. The next step is to again change the scale, only this time in millimeters. Multiply the scaled distance by 10 — move the decimal one place to the right. On two sheets of white paper placed end to end, measure out the planet locations in millimeters. Point out that because the scale is so small, the planets cannot be drawn in scale, but they should be drawn in relative size.

Assessment

Assess the students’ millimeter scales.

Supplemental information

NASA has several wonderful sites for further research and information
http://www.nasa.gov/

Related websites

The Nine Planets: A Multimedia Tour of the Solar System
http://www.seds.org/billa/tnp

Solar System Extremes: the largest, smallest, brightest, and densest of the major bodies in the solar system and those with best prospects for life
http://www.seds.org/billa/tnp/datamax.html#largest

Comments

This lesson coincides with the science lesson on the solar system and planetary bodies. My teammate and I are doing a co-unit where there is no boundary between math and science.

North Carolina Curriculum Alignment

Mathematics (2004)

Grade 6

  • Goal 1: Number and Operations - The learner will understand and compute with rational numbers.
    • Objective 1.02: Develop meaning for percents.
      • Connect the model, number word, and number using a variety of representations.
      • Make estimates in appropriate situations.
  • Goal 2: Measurement - The learner will select and use appropriate tools to measure two- and three-dimensional figures.
    • Objective 2.01: Estimate and measure length, perimeter, area, angles, weight, and mass of two- and three-dimensional figures, using appropriate tools.
    • Objective 2.02: Solve problems involving perimeter/circumference and area of plane figures.
  • Goal 3: Geometry -The learner will understand and use properties and relationships of geometric figures in the coordinate plane.
    • Objective 3.04: Solve problems involving geometric figures in the coordinate plane.

Science (2005)

Grade 6

  • Goal 5: The learner will build understanding of the Solar System.
    • Objective 5.01: Analyze the components and cycles of the solar system including:
      • Sun.
      • Planets and moons.
      • Asteroids and meteors.
      • Comets.
      • Phases.
      • Seasons.
      • Day/year.
      • Eclipses.
    • Objective 5.02: Compare and contrast the Earth to other planets in terms of:
      • Size.
      • Composition.
      • Relative distance from the sun.
      • Ability to support life.
    • Objective 5.05: Describe the setting of the solar system in the universe including:
      • Galaxy.
      • Size.
      • The uniqueness of Earth.