For a reaction to occur particles reacting must have a neccessary activation energy (kinetic energy). As temperature gets higher, so does the kinetic energy of particles, which can be ilustrated with a Maxwell-Boltzmann distribution diagram. This means that more particles can overcome this energy and succesfully react as chances of a properly oriented collision are higher. It is sometimes said that the reaction rate doubles with a 10 degree raise in temperature.
For Higher Level Students the Arrhenius equation and graphs can be analysed to further explain the topic.