*a* units for every *b* units, written *a:b*; read *a* to *b*; and represented as a fraction, *a/b*. We follow definitions suggested by the writers of the Common Core (CCSSI 2010): Fraction representation is known as the associated unit rate or the value of a ratio *A:B* and is found by dividing *B* into *A*, where “equivalent ratios have the same unit rate” (McCallum, Zimba, and Daro 2011). Using both contextual and noncontextual proportion tasks, we saw various ways that students found the equivalency of ratios as well as misconceptions they have.

Edited by **Jennifer Eli**, jeli@math.arizona.edu, The University of Arizona, Tucson, and **George J. Roy**, roygj@mailbox.sc.edu, University of South Carolina, Columbia.

^{*}Ricardo Martinez, ricardom@iastate.edu, is a graduate student in the School of Education at Iowa State University in Ames. He is interested in critical pedagogy within the teaching of mathematics that works toward equitable mathematics problem solving.

^{*}Ji Yeong I, jiyeongi@iastate.edu, is an assistant professor at Iowa State University who has interests in preparing teachers to support English language learners and investigating teacher beliefs toward culturally diverse students in learning mathematics.