A biomaterial and its potential degradation products should be biocompatible, nontoxic, and removed by the body upon expiration of its functional lifetime. One historically successful approach is to create new materials from biomolecules that naturally occur in the human body. Herein, we report the synthesis and characterization of a polycarbonate based on dihydroxyacetone, a 3-carbon ketose, and an intermediate in the glucose metabolic pathway. The polymer was synthesized in a range of molecular weights (similar to 8000 to similar to 37500) by ring-opening polymerization. The C2 carbonyl of dihydroxyacetone is reactive to amines, and this reactivity was used to functionalize the polymer's surface in a one-step reaction by reductive amination. Additionally, contact angle measurements show the surface of poly(2-oxypropylene carbonate) is hydrophilic even though it is insoluble in water. Mechanical analysis of the polymer revealed it is exceptionally strong for an aliphatic polycarbonate. Specifically, poly(2-oxypropylene carbonate), M-w 37500, yielded a Young's modulus of 0.5 GPa and a compressive yield stress of 50 MPa. These values equal or exceed those of cancellous bone with similar dimensions.