IPA: //ˈtiːmeɪt//
KK: /ˈtimˌmet/
A person who is part of the same group or team as someone else, working together towards a common goal.
She is my teammate on the basketball team.
Teammate is formed from "team" (from Old English *team*, meaning a group of people working together) and "mate" (from Old English *gemetta*, meaning a companion or associate). The word "teammate" refers to a person who is part of the same group or team, working together towards a common goal.
Think of a 'team' as a group of people working together, and a 'mate' as a companion. A teammate is simply a companion in that group.