The High School offers honors level courses for many subjects which are designated in the course offerings by "/Honors".

Example: Geometry/Honors
http://www.arps.org/hs/Academics/Mathematics/GeometryHonors/

"All academic courses at Amherst Regional High School are college preparatory. Courses designated as Honors are characterized by an accelerated pace, an intensive examination of content, or both. Honors courses demand substantial independent work, extensive use of supplementary materials, and sophisticated analysis and synthesis of ideas and information. Courses designated as Advanced Placement are courses that are similar to Honors courses in level of challenge and expectations but that follow the college-level AP curricula established by the College Board."

SOURCE:
http://www.arps.org/hs/Offices/Guidance/Planning/SchoolProfile.html