Big Brain Academy - Wii Degree - Platform: Wii

Expert mode:
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Get a Gold Medal on the Easy, Medium, and Hard difficulty setting
for an exercise to unlock the Expert difficulty setting for that 
exercise.

Free Platinum Medal:
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Quit out of the game four times in one minute (sixty seconds), and you 
will automatically earn a Platinum Medal.

Medals Breakdown:
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Here's a breakdown on how all of the medals in the game are determined:
100g Brain - Bronze Medal
200g Brain - Silver Medal
300g Brain - Gold Medal
400g Brain - Platinum Medal