annealing s heat treating metal[mostly] so that when cooled the metal remains ductile
work hardnen able material like aluminimim alloys , copper, bronze [infact most stuff except steel] and some steels [ yeh I know] work harden and as part of that crystals form and grow
these crytals initally slide past each other when bending and forming the metal
once grown large enough they no longer slide but jam and the metal is "work hardened" futher bending /forming just breaks the material.
annealing resets the crystals to the initial small size ready to repeat the working
hardening …as with steels is again effecting the crystal boundries [small for ductile large for hard] but to have to opposite effect ..you heat steel above what is known as the transition temperture and rapidly cool to control the crystals[in steel usally called grains].
tempering is fine tuning the balance of properties.
in short anneaing application of heat and cooling to softern or remove work hardening from a materal