Well, the good news is, I think you are correct on both sentences which is not so good news (for your teacher)
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Mercyful_fateMy teacher tells me that the first sentence is the correct oneYou have a problem here, because both are wrong. You left out a word.
Mercyful_fateHow come both are correct?There is no rule that says you must always follow with the same tense. It's a good guideline though.
Mercyful_fateShouldn't I follow the same tense?Yes. You should. In most cases you will get a better sentence if you do this.