\( \text{Rate} = k[A]^x[B]^y \) is the standard rate law, and the exponents x and y attached to each reactant are what we call the order of the reaction. These numbers tell you how strongly the rate reacts when you change how much reactant is present, for instance doubling a first order reactant simply doubles the rate. Temperature instead changes the rate constant k through the Arrhenius relation, and a catalyst changes the pathway and lowers activation energy, neither of them defines the order itself. So reaction order is fundamentally about concentration dependence.