movie is a sequel not a recap
『けいおん！』映画化情報キター！！ 映画は総集編じゃなくて続編だー！！！！
there is a similar article, and this english
Quote:
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The red line says <The movie “K-on!” will draw Yui and the other members who graduated and Azusa and other younger members after “K-on!!”>. In short, the movie “K-on!” will be a sequel to a story.
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source
credit to Nineater2nd