What words of same meaning can use to replace "very"?
In the next semester I will start the level Advanced 1 in my English Course, and my teacher said that we can't use the word "very" in the class, but the one word that I know can replace this is "pretty". What other words I could use?

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I suppose they want you to extend your vocabulary by using words other than "very", but that strikes me as a bit artificial since the word is very (!) commonly used by native speakers. There are a variety of qualifying adverbs that can substitute, including the "pretty" you mention, but that one isn't a close synonym, since the degree of intensity it implies is less than "very". Depending on the context, you could try "extremely" or "highly", or any of the near synonyms suggested here: http://www.thesaurus.com/browse/very?s=t

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maybe to expand the vocabulary, I really don't know

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In American English I would add that the word "really" is quite common as a synonym for "very". It might be considered more informal and used more by young people but it is common.
Examples
It's really cold outside.
That's a really strange question.

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Janes has a good observation. Why do they want you to replace an extremely common word?

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Another over-used word is 'nice'