We introduce a family of symmetric functions called the k-Schur functions and show how these elements generalize the Schur functions. We then discuss how a new type of tableaux can be used to describe the k-Schur function expansion coefficients for the complete symmetric functions. We finish by showing how these tableaux could lead to finding expansion coefficients for the Hall-Littlewood and Macdonald polynomials in terms of k-Schur functions. No prior experience in symmetric functions or tableaux is necessary.