Particle motion increases as energy (like heat) is added. The motion slows as energy leaves. Temperature is a measure of this change in particle motion.
Joules
Temperature.
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temperature
Kinetic energy of a substance is the energy of motion of its particles. Temperature is a measure of this quality. When you increase the kinetic energy of a substance, you increase the motion and collisions between its particles, and its temperature goes up.
Particle motion increases as energy (like heat) is added. The motion slows as energy leaves. Temperature is a measure of this change in particle motion.
Heat is a measure of the amount of energy due to the motion of the particles in a gas, liquid, or solid. Temperature is a measure of the average amount of heat energy in a given body.
That sounds like the description of temperature.
Big hairy balls
I would say non-relativistic total energy. The energy related to motion is kinetic energy; The stored energy in the particles is potential energy.