It would help if you told us what type of approval notice your're talking about AND what classification.
I-130: IR, F1, 2, 3, 4????
I-140: EB-1, 2, 3
Why not be wise and spend some money on a Skype consultation with an attorney.
SHORT ANSWER: Yes, in most cases a copy of an approved 'petition' should go in the package that will contain MUCH MORE than just the I-485.
PROFESSOR OF IMMIGRATION LAW for 10+ years -- All responses on this blog are offered for informational purposes only. It does not constitute an attorney-client relationship. Also, keep in mind that this is an INTERNET BLOG. You should not rely on anything you read here to make decisions which impact on your life. Meet with an attorney, via Skype, or in person, to obtain competent personal and professional guidance.
Generally yes if the approval notice was for the underlying petition (i.e., I-130) but it depends on a few factors and your current eligibility to apply for adjustment of status. Given your question and the importance of completing the I-485 fully and accurately you would be best served to consult with an immigration attorney for guidance. Best wishes.
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You must provide USCIS with proof of the pending/approved underlying petition for the I485.
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