Generally, basic math skills are covered through 7th grade followeed by
Pre Algebra
Algebra I
Geometry
Algebra II
Trig/Pre-Calc
Calculus AB

The reason they stick Geometry between Algebra I and II is because there is some Geometry on the SATs and most kids will take the SATs/PSATs before they take Algebra II.

Some courses will separate Algebra into 1, 2, and 3 (notice the Arabic numerals), which takes Algebra I and II and breaks it into three smaller parts.

When I went to high school we took Algebra 1, Algebra 2/Geometry, Algebra 3/Trig, and Calculus A.

I think it all depends on the publisher of the book. Check out Saxon math's progression for a common American math sequence:
http://saxonpublishers.harcourtachieve.com/en-US/sxnm_home

Good luck.
smile
Kate