I wouldn't go "I feel all tingly" for someone who is nearly a complete stranger, and as you are 17...let's just say take your own feelings with a grain of salt. It feels like the world and your happiness for forever is at stake. Trust me; it's not. 

I would, however, say "hey, I really enjoy being around you and I would like to get to know you better. Can I take you out to *insert shared activity here*."

Just don't be pushy or appear needy and you will be fine.

Another thing; if she says no, it's not a big deal. She doesn't know you well enough to reject what you really are; all she's rejecting is the impression of you she's gotten from your limited interaction. That's not really you. Don't think of it like it is.

Too upfront man, I don't know your situation but I would start up a conversation with her and ask if she wanted to see a movie/hangout/lunch?

Good reply

at the bolded specifically - that is a fantastic perspective

A tactic I've used successfully many times goes something like this "I don't know you very well but you seem like someone that has potential for me to be interested in as more than friends. I'd like to hang out sometime and get to know you better." Granted this works better I've found with confident women, they hear they only have potential in your eyes and many seem to want to prove it's more than just potential, they are the real deal.  Now if a girl is shy she is much more likely to turn away from this subtle challenge. I really don't know enough about her to peg her one way or the other so bear that in mind.

Good luck my man.

Don't over think it as you can not plan for something like this.Do what comes natural and if she is not feeling it then it was not meant to be.

Thanks for the great responses, i will take it slow (if i don't get rejected) and offer her to a coffee date to get to know her better and vice versa...

One last thing, if she says yes, how soon would you go on a date?

Do you even like coffee? 😉 like leave it till the weekend in which time you will have got her number or are chatting on social media's. So you will know more about her.

Just say "hey baby there's a party in my pants and you're invited ;)"
works every single time. every.single.time

^ I wish it was that easing :)

You'll never know if you don't try.

You could just ask her out on a date or to hang out one on one and see how that goes before you explain how you feel about her. If she asks why, just say that you want to get to know her better. It often better to butter them up first and you can get a read on her feelings without asking her directly. Once the cat is out of the bag, it won't go back in.