On a bright, cool morning in Springfield, Vermont, I offer you this Cultural Literacy worksheet on schism. The definition and this worksheet limits the noun to its meaning as a breach within a religion. Merriam-Webster defines it more broadly, so there is some room here for the kind of rich discussion on usage that educational research suggests benefits students.
In any case, by their senior year at the very least, this is a word and concept high school students really ought to know.
If you find typos in this document, I would appreciate a notification. And, as always, if you find this material useful in your practice, I would be grateful to hear what you think of it. I seek your peer review.