Classroom expression: Now, students, let's check over your homework exercise

Teacher: “Now, students, let’s check over your homework exercise.”

Does the sentence sound English enough or does anything in it irritate your ear?

The sentence sounds quite good, but, maybe it would be even much better if we say: “Come on students, let’s check over your HW exercise now.”

I think it sounds wrong because of the word order. The usual usage of the verb phrase “check over” is to place the object in the middle of it, so I think it should be "“Now, students, let’s check your homework exercise over .”