For #6, it is the school/district, NOT the state that requires 1 year algebra.
I am pretty sure that the state says the following: 1) A maximum of 2 credits (2 years) for Integrated algebra. 2) The next course must be more advanced than the previous.
This means it is perfectly legal to get the 3 HS math credits as follows: Grade 9: "Pre-Algebra" Grade 10: "Integrated Algebra I" Grade 11: "Integrated Algebra II" Then take regents at the end of 11th grade. (Yes, even the bad ones may pass the Regents sooner, but then there is pressure to put them in the next course, Geometry.)
I wish schools and districts would stop competing with each other and start competing for our kids. To do that would be to stop requiring Algebra earlier and earlier (9th,8th,7th, etc.) for all students. (For truly advanced students, not regular (or remedial) students whose parents claim are advanced, Algebra in MS is perfectly fine.)