Personally I don't use it either as it may be mistaken as the action of correcting the mistakes in homework. This is more widely used in Taiwan, and maybe some southern areas of China. Personally I don't like using it in this scenario as 批 also has the meaning of criticise, which also used to refer to the action that teacher or parents scolding a child. When I was a student, I normally wouldn't use this one, but some teachers does. 老师批你的作业了吗？ Have the teacher corrected your homework? Personally, I prefer using this one, and it's widely used in places like Beijing, as far as I know. 老师判你的作业了吗？ Have the teacher corrected your homework? Instead, there are several single character verbs: With that being said, when casual conversations, people do not say '批改'. Many words in modern Chinese are constructed in this manner which is a combination of two characters have similar meaning. The most formal name of the action is '批改' of which 批 means commenting the homework and 改 means correcting the homework. There are many ways to say 'correcting/marking homework'.

I already to do my homework