Q. Can I use several sentences from my own paper which was properly cited into a new paper for a different class?

Thank you for your question.

You must speak with your current professor about this.  According to the university's webpage on Academic Integrity, "Submitting the same paper in more than one course without permission of the instructors" is consider academic dishonesty.

I know it's not an entire paper, but I would definitely recommend speaking with your professor about what she or he will allow.

You might consider using the same source but re-writing the sentences, paraphrasing the previous sentences, or some other alternative.  But, again, the decision will be up to your professor.