is a specific kind of: check, check into, check out, check over, check up on, go over, look into, suss out.

is a broader term that covers: keep tabs on | guard | invigilate, proctor.

verb group: follow, trace.

derivation: observance, observation, watching | vigil, watch | notice, observance, observation | observation | observation, reflection, reflexion | beholder, observer, perceiver, percipient.