Squeaky does several things that show her individuality and identity are important to her in the short story, "Raymond's Run" by Toni Cade Bambara. First of all, she constantly practices her running. She does not care what other people think about her, even her own mother:
"I'll high-prance down 34th Street like a rodeo pony to keep my knees strong even if it does get my mother uptight so that she walks ahead like she's not with me, don't know me, is all by herself on a shopping trip, and I am somebody else's crazy child."
Squeaky also sticks up for both herself and her brother Raymond. When she sees some of her classmates coming toward her, she thinks about "ducking into the candy store" to avoid them, but she doesn't, she thinks, "But that's chicken, and I've got a reputation to consider." Her identity is obviously important to her here.
There is also the May Day Race itself. Mr. Pearson hints that she should throw the race and give another girl the win, but Squeaky refuses because she knows that is not fair. She gives her best to everything she does, and the race will be no exception.