Asking a girl on a date that I don't know too well?

[kyle]

There is a girl I had a literature class with last semester and we worked on a group project together. I thought she was really cute and nice, but this semester I don't see much of her, though we do always exchange hellos and a smile when we cross paths on campus. I'm attracted to her and would would like to ask her out to dinner or something, but I'm afraid it would be weird since we only know each other through that class and the small talk we made while working on that project. How should I go about this? I don't have her number or anything but I do have her added on facebook. How would you feel if you were on the receiving end?