heritage language
US /ˈher.ɪ.tɪdʒ ˌlæŋ.ɡwɪdʒ/
UK /ˈher.ɪ.tɪdʒ ˌlæŋ.ɡwɪdʒ/

1.
a language, other than the dominant language of a country, that is learned by individuals at home, usually from their parents or grandparents, and is associated with their cultural or ethnic identity
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Many second-generation immigrants learn their parents' heritage language to stay connected to their roots.
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Schools are increasingly offering programs to support the maintenance of heritage languages.