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Habitable Hunt: A ‘Pi in the Sky’ Math Challenge

The TRAPPIST-1 Habitable Zone
The TRAPPIST-1 system contains a total of seven planets, all around the size of Earth. Three of them — TRAPPIST-1e, f and g — dwell in their star's so-called "habitable zone." The habitable zone, or Goldilocks zone, is a band around every star (shown here in green) where astronomers have calculated that temperatures are just right — not too hot, not too cold — for liquid water to pool on the surface of an Earth-like world.
Levels
  • Advanced (9-12+)
Material Type
  • Lesson Plan
  • Math
Heliophysics Big Ideas
  • Big Idea 2.1 – Life on Earth has evolved with complex diversity…
NGSS
  • ESS1 - Earth's Place in the Universe
Heliophysics Topics
  • Habitable Zone
Material Cost per Learner Free
Language English

In this problem, students use the mathematical constant pi to find the "habitable zone" around a distant star, TRAPPIST-1, and determine which of its planets are in that zone. This math challenge combines astronomy concepts with mathematical problem-solving, requiring students to apply pi calculations to real exoplanet research. Students work with authentic data from the TRAPPIST-1 system to understand how scientists determine potentially habitable worlds around other stars.

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