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Typically, unstructured play is defined as playing without predefined rules or adult guidance, like playing on a playground or drawing pictures. The child is left to their own devices.

Structured play has predefined rules; for example, playing Monopoly, role-playing, or cooking with an adult's help.

Although you had to follow rules in a school setting, it wouldn't necessarily make your play structured, since you always have to follow those rules anyway; it's not like playing Monopoly, where the playing itself is governed by additional rules, and everyone takes turns, and follows a set structure.