In this movie there is a girl with name of baby(i guess that was the name). The girl was from a rich family and she had a dance teacher. She fell in love with him. Then some things happen and some allegations are made on the dance teacher. Eventually everything clears up and in the end i guess there was an awesome dance performance by both these.
Surely you mean Dirty Dancing from 1987? :) Starring Jennifer Grey as rich girl Frances "Baby" Houseman and Patrick Swayze as the working-class dance instructor she has a crush on. A massive hit, it contains iconic dance scenes and the famous line "Nobody puts Baby in a corner!" And here's their final performance.