Need help talking to a girl?

I have a PE class with nothing but freshman, myself and the girl that I want to talk to are both seniors. Due to this fact we both speak to no one and just sit at our desk, which are at opposite sides of the room. She's extremely pretty (so pretty its not even funny), and she seems shy, but she also has a maturity which is above most of the seniors at my school, kind of like myself. We stare at each other a lot, she catches me glancing at her, and I catch her doing the same. When the class leaves to play sports or whatever outside, while we play, she doesn't know that I see her staring at me the whole time I'm playing, as she stands on the side line.The problem is, I'm shy also, so under what circumstances do I talk to this girl?
Need help talking to a girl?
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