I met this girl in class since school started and I thought she was pretty at the beginning but now that I have 1 week sitting with her I think I'm falling for her. Pretty much we talk about anything and she's not in an relationship, but for what I've heard she kind of have feelings for her ex and honestly right now I don't know what to do (I haven't ask for her number or talked to her outside the classroom yet)

What you can do is just talk to more often don't ask her out right away make her fall in love with you flirt a lot with her and take steps

You can't make someone fall in love with you.
You just like her and you're just on a friendly talking basis. All you know is from gossip but if you don't want to get in to a rebound situation with her, don't start anything.

I met this girl 3 years ago, I wanted to go out with her best friend but at the end nothing happened between us, last year I had both of them (her and her bestfriend) in my p.e class. I've always noticed she would look at me an vice versa but I never talked to her in the whole year, we used to go on all the field trips but we never passed eye contact. Now I don't have any classes with her, like 2 months ago I met this girl that lives far away from me and I posted on Facebook "i'm just one out of 1000 and yet idk if she sees me different from any one else" and the girl I don't know if she likes me or not was the first one to like it. Ssnce then I've said hi to her in school... Obviously the first times it was awkward but the last time she said "hi javier" with a smile. Also that day I was with a friend (girl) in my locker, me and my friend passed next to her and I said "hi" and she said "hi javier" and smiled to me, as soon as she saw my friend her face expresion totally changed and I think she got jealous.. I don't really know what to do anymore what should I do?