How do I approach this situation?

How do I approach a shy guy who doesn't use social media that much and who I don't see very often? Im in high school and we have a period together, but different teachers, when we combine classes I see him and he'll stare at me (not in like a totally creepy way, but in a way that makes me blush and my heart starts to pound:)). I like him enough to make the first move, so any suggestions on what to do?

p. s. i had a class with him last year, and he was really flirty with me, according to other people he's not known to be like that with girls. I also then tried texting him a couple months ago and he said that he didn't remember me very well, but he's been doing that staring thing with me recently? Mean anything?
lost cause, move on
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nah girl , there's still hope
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How do I approach this situation?
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