Going up to a girl at her locker?

So i'm in grade 12 and there's this girl I think is cute, but I've never talked to and I don't have any classes with her. I see her quite a bit in the halls and we've made eye contact a few times. Would it be weird to try and approach her while she's at her locker? I don't know what else to do and I don't have any reason to think she likes me. Also I don't even know what I'd say..
Going up to a girl at her locker?
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