Ok, so I just noticed that the post was originally from May, but for any future reference, any of this may be helpful, maybe not ... I'll keep my post up though.
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If you're actually looking to ask her out, I'd just go for it and do it one of the next days you talk to her ... don't want to wait too long or you'll get in that weird friend area since she'll start to compartmentalize you as "that friend from German class".
This would be a sweet way to ask somebody out:
you: "hey, how are you?"
her: "not bad, how are you?"
you: "pretty good, although this one math problem has been bugging me. I think I have the answer but I'm not sure, maybe you can help. The problem involves me thinking you're really cool. I think one of the solutions might be you letting me take you to (insert cool first date activity that isn't just dinner / movie) ... so what do you think?"
***don't forget to smile at this point***
Most girls will say yes if they probably feel they can trust you (which if you go to their school and you're not a total psycho then you're probably fine), the intended date activity is remotely interesting, and they are not otherwise involved with somebody or prohibited by their parents to date.
It may take her by surprise, so you might want to tell her it's ok if she thinks it over for a little if she needs to. Either way, it'll definitely flatter her and probably make her day to just be asked out. Guys generally overestimate how much quality attention a woman gets ... sure they probably get oggled all the time and maybe flirted with sometimes, but most of that is very low investment attention from guys, so when something genuine comes along with the thought and prospect of an actual nice guy asking them out, they'll usually say yes, at least in my experience.
Good luck with it all, seems like you're off to a good start since you at least had a decent first convo.
