Other forms: supervised; supervising; supervises
If your mother asks you to supervise your little brother and his friends, it means she'd like you to keep an eye on them.
The verb supervise has origins in the Latin word supervidere, from super-, meaning “over” and videre, meaning “to see.” When you supervise something, it means you oversee the project, managing the people working on it, perhaps by figuring out what needs to be done, assigning the work, and making sure it gets done properly. You serve as the boss when you supervise; other people are the workers.