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Satellite Solver: A 'Pi in the Sky' Math Challenge

Lesson .

.

Satellite Solver: A 'Pi in the Sky' Math Challenge

Jet Propulsion Laboratory https://www.jpl.nasa.gov/ Last Updated: Oct. 11, 2024
Subject
Math
Grade Levels
6-5
Time Required
Under 30 mins
Standards .
Math Standards (CCSS - Math)
.

Solve real-world and mathematical problems involving area, surface area, and volume.

Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

Understand solving equations as a process of reasoning and explain the reasoning

Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

Science Standards (NGSS)
.

Use mathematical or computational representations to predict the motion of orbiting objects in the solar system.

Satellite Solver, Pi in the Sky Math Problem – Illustration of the SMAP satellite orbiting Earth

Overview

The "Pi in the Sky" math challenge gives students a chance to take part in recent discoveries and upcoming celestial events, all while using math and pi just like NASA scientists and engineers. In this problem from the set, students use the mathematical constant pi to calculate how long it will take an Earth satellite to image the entire planet.

Materials

  • Pi in the Sky: Satellite Solver worksheet – download PDF
  • Pi in the Sky answer key (first problem) – download PDF

Procedures

  1. The Soil Moisture Active Passive, or SMAP, satellite is designed to image 1,000-kilometer-wide swaths of Earth from a near-polar, sun-synchronous orbit 685 kilometers above Earth’s surface. How many days will it take SMAP to image all of Earth’s surface? (You may disregard any overlap that may occur.)
Pi in the Sky: Satellite Solver worksheet

Assessment

Pi in the Sky Infographic Answers

Extensions

Pi Day Challenges

  • Pi in the Sky
  • Pi in the Sky 2
  • Pi in the Sky 3
  • Pi in the Sky 4
  • Pi in the Sky Challenge (slideshow for students)

Multimedia

  • Planet Pi

Features

  • Blog: How Many Decimals of Pi Do We Really Need?

Websites

  • JPL Missions: SMAP
  • NASA Global Climate Change
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