After reviewing the crucial role that symmetries have played in the development of the Standard Model of particle physics, we provide arguments that there should be new physics that should manifest itself at the TeV energy scale. We examine possibilities for what this new physics might be and show that supersymmetry, a novel symmetry that inter-relates bosons and fermions, may be a promising candidate. We show that supersymmetry implies an as yet unseen partner for each Standard Model particle. We derive the basic properties of these superpartners to help us understand how we might go about searching for these in high energy experiments and briefly discuss what we have learned from experiments at current accelerators. We also discuss the role of supercolliders for this search. Time permitting, we will speculate about how a determination of superparticle properties could teach us about physics at high energy scales way beyond what might be accessible in the foreseeable future.