[3] The School is named for the trivium, the first three liberal arts (Grammar, Logic, and Rhetoric).

The students follow a unified curriculum that includes college preparatory studies with an emphasis on the intellectual virtues.

The curriculum is influenced by the ideas of Mortimer J. Adler, Sister Miriam Joseph, and Dorothy L. Sayers in that its stated purpose is to develop the "tools for learning" instead of simply teaching subjects.

[4][5] The stated mission also includes the use of the Socratic method with small classes and a low student-teacher ratio.

Students are required to participate in studios of music, visual arts, and drama and sing in the School chorus.