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Asteroid Ace: A 'Pi in the Sky' Math Challenge

Lesson .

.

Asteroid Ace: A 'Pi in the Sky' Math Challenge

Jet Propulsion Laboratory https://www.jpl.nasa.gov/ Last Updated: Oct. 11, 2024
Subject
Math
Grade Levels
11-12
Time Required
Under 30 mins
Standards .
Math Standards (CCSS - Math)
.

Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.

Use units as a way to understand problems and to guide the solution of multi-step problems; choose and interpret units consistently in formulas; choose and interpret the scale and the origin in graphs and data displays.

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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 determine the rotation rate of the first interstellar asteroid that scientists detected in our solar system in 2017.

Materials

  • Pi in the Sky 5: Asteroid Ace worksheet – download PDF
  • Pi in the Sky 5 answer key – download PDF

Procedures

  1. Asteroid 'Oumuamua is a uniquely-shaped interstellar object discovered in October 2017. It’s the first visitor from outside our solar system to be detected. Preliminary analyses indicate that 'Oumuamua is quite elongated, about 10 times as long as it is wide. It was first detected after it had passed Earth at a high speed on its journey out of our solar system, traveling at about 85,700 miles per hour. So scientists could make detailed observations of the interstellar visitor before it sped too far away, they had to quickly re-plan their schedules. By monitoring how the brightness of the asteroid fluctuated as it spun on its axis, scientists estimate that 'Oumuamua rotates once every 7.3 hours. Given these findings, what's the angular rotation rate of asteroid 'Oumuamua in rad/s? How does this compare with Earth's rotation rate
Pi in the Sky 5: Asteroid Ace Handout

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 5
  • Pi in the Sky Challenge (slideshow for students)

Multimedia

  • Planet Pi

Features

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

Websites

  • Asteroid Watch website
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