Great Hearts Archway Trivium, Serving Grades K-5 Archway Trivium is a part of the Great Hearts network of non-profit public charter schools dedicated to improving education nationwide through classical liberal arts academies. A Great Hearts education prepares students to be more than just proficient test takers, but rather, to become great-hearted leaders capable of success throughout their higher education and professional careers. With a curriculum built upon a classical liberal arts tradition and a revolutionary approach to school itself, Great Hearts cultivates the hearts and minds of students in the pursuit of Truth, Goodness and Beauty.