We start going to the help and testing the example of the introductory screen.
This will give us a lot of nutritional data about 'calories in 1 bowl of corn flakes' and a glimpse of what level of detail WolframAlpha achieves.
Then we go for the 'New Query' to search a typical curious thing: What was the weather like when I was born? In seconds you get everything about it with detailed graphs. You can switch to landscape mode to se them better.
We finish with an integrate, all collegue students will agree the mathemathical capabilities of the engine makes it an ideal companion for the classes.
We're only scratched the surface here, go check here to know more.