Resident Aliens are Generally taxed in the same way as US citizens, and should complete Form 1040. Reference publication 519, page 15.
Different rules apply to NRAs than for RAs.
NRA Tax Forms 1042S form, Foreign Person's U.S. Source Income Subject to Withholding. Form, Wage and Tax Statement. You will receive this form for wages earned that were not exempt under a tax treaty. Form 1098-T, Tuition Payments Statement. Usually, this form can not be used by nonresident aliens.