The Google Search Education site has info for teachers who would like to impart Google search skills, especially useful for finding factual information and contributing to lifelong learning. For example, there are lesson plans with classroom challenges, such as A Google A Day Challenges in different categories.
I like this science challenge: While quietly standing at sea level, you are suddenly whacked on the ankle with a guitar. Did you hear it or feel it first? (view challenge)
The site isn’t just for teachers, however. You could also learn how to become a power searcher, which couldn’t hurt. Take a look at this handy printable Power Searching Quick Guide.