Cheyenne Classical Academy's mission is to provide a classical education in the liberal arts and sciences, fostering moral character and civic virtue. The vision is to develop moral and intellectual skills for independent, responsible, and joyful student lives. The Hillsdale classical education model encompasses a well-rounded course of study rooted in human nature and explores the humanities and sciences. Emphasizing moral formation, civic education, and thoughtful patriotism, the classical approach aims to liberate individuals by cultivating virtue and promoting an appreciation for America's history and founding principles. 

Wyoming Classical Academy employs a classical education model called the trivium, spanning from elementary to high school. The curriculum emphasizes traditional learning, character development, and civic responsibility. It includes literacy essentials, well-ordered language, Singapore math, Core Knowledge of science and history, and various subjects like music, art, PE, Latin, and Logic/Rhetoric. The academy's vision is to shape virtuous, responsible individuals equipped for a free and flourishing republic. Its mission is to offer an outstanding American classical education focusing on liberal arts, sciences, moral character, and civic virtue while promoting virtues like kindness, integrity, responsibility, courage, wonder, moderation, justice, prudence, gratitude, and wisdom.