<human>: Condense the text into a few key points

Hey everyone, I (18m) am going to start by saying that i'm a pretty quiet person and awful at making any sort of "move" on a girl in any way. So recently moved away to college, Ive met some girls at parties here and there but haven't gotten any further than that.
I recently met a really cool girl in one of my classes after we were paired together on an assignment. Since then we've seem to really hit it off but we have only ever talked/hung out during class.I dont have her number yet but know her ig. Should I just straight up ask like to hangout/ go out during class, or for her number or what way should I take this? thanks.
<bot>: I(18m) met a really cute and cool girl that I am interested in. How do I take the first step in asking her out on a date.