In some districts that have both IB and AP the "honors" program is no longer designated or may be designated as "Gifted" and the weighting may occur for IB and AP. In math the series may be:
Algebra I
Geometry
Algebra 2
Precalculus
IB Mathematics SL/AP Calculus AB (combined course)
IB Mathematics HL
IB Further Math HL (this may be taken as a two year course combined with Math HL)
In our district they also offer AP stats, AP Calculus, and advanced calculus. Other districts offer Differential equations, linear algebra, or calculus II for those going on beyond calculus. Here the "gifted" designation mostly seems used in middle school and generally the courses had more in depth material.