"Catholic" is just a Greek word that means "general, universal", derived from "kata holou" ("in accordance with the whole"). It's the opposite of a splintering off, though there is a viable argument that they splintered off of Orthodox Christianity (due originally to the filioque controversy, and arguably with broader differences relating e.g. to the worship of graven images, and the like).
Right, I was taught that in 4th grade by the nuns.
What I was not taught was the archontic ass-demon Thaphabaoth.