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Planetary Travel Time

Lesson .

.

Planetary Travel Time

Jet Propulsion Laboratory https://www.jpl.nasa.gov/ Last Updated: Oct. 11, 2024
Subject
Math
Grade Levels
4-6
Time Required
30 - 60 mins
Standards .
Math Standards (CCSS - Math)
.

Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.

Find whole-number quotients and remainders with up to four-digit dividends and one-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison.

Fluently add and subtract multi-digit whole numbers using the standard algorithm.

Explain patterns in the number of zeros of the product when multiplying a number by powers of 10, and explain patterns in the placement of the decimal point when a decimal is multiplied or divided by a power of 10. Use whole-number exponents to denote powers of 10.

Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.

Add, subtract, multiply, and divide decimals to hundredths, using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.

Use variables to represent numbers and write expressions when solving a real-world or mathematical problem; understand that a variable can represent an unknown number, or, depending on the purpose at hand, any number in a specified set.

Use variables to represent two quantities in a real-world problem that change in relationship to one another; write an equation to express one quantity, thought of as the dependent variable, in terms of the other quantity, thought of as the independent variable. Analyze the relationship between the dependent and independent variables using graphs and tables, and relate these to the equation.

Fluently divide multi-digit numbers using the standard algorithm.

Graphic of a hand holding a smartphone with an image of a straight line drawn between Earth and Mars and different options for modes of travel.

Overview

Students will use average straight-line distances to the planets and average rate of travel of several modes of transportation to compute the length of time it would take a spacecraft launched from Earth to travel to another planet.

Materials

  • Pencil
  • Scratch paper
  • Solar system object images – download PDF
  • Student worksheet – download PDF
  • Teacher answer key – download PDF
  • Chart paper
  • Markers
  • (Optional) calculator

Management

  • Download images of the planets and display them around the classroom for reference.
  • Project or copy the tables from the student worksheet onto large chart paper or a whiteboard.
  • Students can work individually or in groups in which they divide the work among team members.
  • If time is limited, assign each group one mode of transportation or one planet for which to perform the calculations.

Background

The solar system is enormous. Making a scale model of the solar system can help students understand the vast distances between planets. Take their understanding a step further with this lesson, which has them determine how long it would take to travel to each of the major planets and the dwarf planet Pluto.

How big are the planets and how far away are they compared to each other? See how the sizes of planets and the distances between them compare in this video. Credit: NASA/JPL-Caltech | Watch on YouTube
Credit: NASA/JPL-Caltech

For this lesson, we take a simplified approach to having students compute straight-line distances to the planets from Earth. While this approach is effective for aiding student understanding, it’s not practical for real space travel because straight-line distances to the planets vary every day and spacecraft don’t travel in a straight line.

When we send a spacecraft to another planet, it follows a curved path, or trajectory, because of the gravitational pull of the Sun and the other solar system objects it passes near. Additionally, the planets are always moving, which can affect the time it takes to travel to them. A destination planet might be on the same side of the Sun as Earth when a spacecraft launches, but on the complete opposite side by the time it arrives.

Removing those factors allows young students to estimate the length of time it would take them to get to the planets by walking, riding their bikes, driving a car, riding on a rocket or traveling at the speed of light. Of course, most of these modes of transportation are impossible for space travel, but because they are most tangible to young students, they can help students gain a conceptual understanding of the vast distances in our solar system. Note that the rate of travel used for the rocket is the top speed of NASA’s Parker Solar Probe, the fastest spacecraft in existence.

Procedures

  1. Provide students with student worksheets, pencils, scratch paper and, if desired, calculators.
  2. Have a volunteer read the instructions from the student worksheet.
  3. Ask the class how the distance from Earth to each of the planets and Pluto should be computed. Answer: Subtract the appropriate distances.
  4. Have students represent the problems to be solved using equations with a letter standing for the unknown quantity.
  5. Have the class work together to compute the distance from Earth to each of the planets and Pluto. Fill in the class chart together as students fill in the charts on their worksheets.
  6. Ask students to guess how long it would take them to travel to the planets using the various modes of transportation. Fill these guesses into the class chart.
  7. Ask students how we should determine actual travel times by each mode of transportation to a given planet. Answer: Divide the distance by the rate of travel.
  8. Have students represent the problems to be solved using equations with a letter standing for the unknown quantity.
  9. Have students work individually or in small groups to perform the calculations and record their answers on their worksheets.
  10. Compare actual answers to guesses and determine how they differ. Were student guesses close? Did they follow the same pattern?
  11. If time allows, have students convert some of the larger numbers of hours into days or years.
  12. Point out to students that we cannot travel at the speed of light, but as technology improves, we may be able to travel faster and get to other planets sooner.
  13. Ask students to research how far away the closest star and neighboring planetary system are, then determine how long it would take by rocket to get there.
  14. Ask students to identify some of the challenges of sending humans on such long journeys. Some challenges they might mention include taking enough food, water and air to breathe, being away from their families so long, physiological effects of being in space for extended periods, the length of time it would take them to return, and more.

Assessment

  1. Students should be able to understand which calculations are needed to yield the desired answers.
  2. Students should be able to perform these calculations either by hand or using a calculator.

Extensions

educators.

Solar System Bead Activity

Students create a scale model of the solar system using beads and string.

educators.

Solar System Scroll

Students predict the scale of our solar system and the distance between planets, then check their answers using fractions.

educators.

Create a Solar System Scale Model With Spreadsheets

In this activity, students use spreadsheet software and their knowledge of scale, proportion and ratios to develop a solar system model that fits on a playground.

educators.

Kinesthetic Radial Model of the Solar System

Students model the position of the planets around the Sun and then model viewing them from Earth on any given date.

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