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The following study presents early elementary students’ invented representations of functional relationships. We focus on representations because of their potential to support students, particularly early elementary students, in communicating about and understanding functional thinking. The research question that guides our study is: When invited to represent a functional relationship, what are the invented and quasi-invented representations that Kindergarten, first, and second grade students create? And how do those representations mediate students’ mathematical thinking? We present examples of both invented and quasi-invented representations. Within those categories, we observed students produce conventional representations, modified conventional representations and actual object representations.