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Marble Run!
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This activity (on page 2 of the PDF under SciGirls Activity: Luge) is a full inquiry-based challenge related to motion and design optimization.

FlyBy Math: Distance-Rate-Time Problems in Air Traffic Control
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In this small-group activity, learners assume the roles of pilots, air traffic controllers, and NASA scientists to solve five Air Traffic Control (ATC) problems.

Lift Off!
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This activity (on page 2 of the PDF under SciGirls Activity: Lift Off) is a full inquiry investigation into the engineering challenges of sending scientific sensors into space.
Ride on a Slide: Toys or Tubes Ride Slopes and Angles
Source Institutions
This activity is a hit for family events and all ages—some will finish in 45 minutes; others can go on for hours.