Kate is right about the order. Some books have Trig in with Algebra II and for some, it is a separate course.
Many curriculums introduce Algebra as early as second grade (in small parts). The pre-algebra really determines the algebra I. So many schools are calling Algebra I what is truly a pre-algebra.
I do not think that nearly enough time is spent on fractions, percent, and decimals or the true understanding of them (such as place value). This leads to much understanding later.
Geometry has a lot of Algebra in it - finding an unknown. The proofs bog almost everyone down in this class.
Trig begins the Transcendental Functions (and continues with Calc). I highly recommend a good Precalculus class, which really goes over all the Algebraic and Transcendental functions, inside and out. Some schools skip this, but it can really deepen the understanding of functions before Calculus. A good Precalc class is valuable and is truly like a Algebra III course, with the addition of Trig.
Most of all, develop factoring. This has been dropped or lessened. This is developmental and knowing this is the key to advanced math. Students usually don't even know their prime number anymore or how to break out a number into its primes.
Sorry, this is my passion.
