This girl I really like recently gave me her number, we know each other fairly well and talked every day in class (schools done now) and I feel like she's interested. I really want to ask her to meet up for ice cream or lunch or something (via call) but don't want to come on too strong either and wonder if texting and generally chatting that way would be a better idea?
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Give it time... texting her within 24 hours of getting her number is weak sauce. Give it at least a couple days, then text her asking if she has plans for [Day of the week]. Then ask if she wants to go for lunch/coffee/whatever. Don't invite her to a movie, concert, or anything else that requires hours of contact, because she'll probably be less likely to accept the offer.
Make it a small thing, chat about your grades or what you think of your teachers or whatever, something you both can relate to, and see how it goes. If it goes well, ask if she wants to meet up again. Again, make sure it's not something that takes hours of contact. If she says yes, tell her you'll call or text her to do something else when you know what day you'd be free. If you're feeling particularly brave, invite her out to something else right then, provided you know what that "something else" is.0