Not sure if I follow – is she is a 9th grader finishing algebra 2 (two grade levels ahead)? Shouldn’t her normal progression be:
10th grade: trigonometry and precalculus
11th grade: calculus
12th grade: post-calculus math at a college (optional)
What would her 10th grade math course be in each scenario? Either way, it looks like both IB tracks result in her completing not as high a level of math as one would expect for a 9th grade student in algebra 2.