How the ideas connect
A good science page should make the connection visible, not just list definitions.
Reaction rates
Chemical kinetics asks how fast reactions occur and which molecular steps control that speed. Concentration, temperature and catalysts can change the observed rate.
A catalyst changes the pathway and can lower the activation barrier; it does not change the equilibrium constant.
Activation energy
A reaction pathway usually has an energetic barrier between reactants and products. Activation energy characterizes that barrier for a specified elementary process or model.
Temperature strongly affects how many molecular encounters can access the required energetic region.
Chemical equilibrium
At chemical equilibrium, forward and reverse processes continue but their rates are equal, so macroscopic composition no longer changes with time. Equilibrium is dynamic, not a frozen reaction.
That single idea prevents one of the most common misunderstandings in chemistry.
What to notice
A good science page should make the connection visible, not just list definitions.
Sources
IUPAC Gold Book · NIST · BIPM