Pell Grant - given to students based on the student's Expected Family Contribution (EFC); can be used at colleges around the country
Supplemental Education Opportunity Grant (SEOG) - awarded by colleges to students attending their schools based on the student's EFC
Academic Competitiveness Grant (ACG) - Grants available to Pell Grant-eligible students enrolled at least half time in the first and second years of postsecondary study who have completed a high school curriculum deemed “rigorous” by the State, and as recognized by the U.S. Department of Education (first-year students), and/or have achieved a cumulative 3.0 (or equivalent) GPA at the end of the first academic year (second-year students)
SMART (Science and Mathematics Access to Retain Talent) Grant – Grants available to Pell Grant-eligible students enrolled at least half time in the third or fourth year of an undergraduate degree program or certificate program (or fifth year of a five-year program) at a degree-granting institution who are majoring in specified physical, life or computer sciences, engineering; mathematics; technology; certain critical foreign languages; or non-major single liberal arts programs AND have at least a cumulative 3.0 grade point average on a 4.0 scale as of the end of the second award year (and continue to maintain a 3.0 GPA).
Teacher Education Assistance for College and Higher Education (TEACH) Grant - Non-need based grant (although FAFSA filing is required) available to students who sign a TEACH plan agreement and agree to teach in low-income schools in subject areas of high need upon graduation; repayment required if teaching obligation is not met and students must meet certain academic achievement requirements (generally, scoring above the 75th percentile on a college admissions test or maintaining a cumulative GPA of at least 3.25)
For more information on the federal grant programs, visit the funding section of http://studentaid.ed.gov