What term refers to tasks and activities that a culture assigns to the sexes?

The name of the term is Gender roles.

For example, un western culture, the gender roles that held by the majority of the people is that men are responsible to work and became protector and the women are expected to be at home and took the supporting role.

As society started to go more advance, many women now could contribute to at the job market due to more availability for jobs that do not require physicl strength.