What do i have to do to teach physics at a private vs public school?

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I went to a private all boys high school and the teachers there were hired right out of college to teach things like junior year physics and precalculus. From my understanding if i were to teach public school i would need a masters or teaching degree. Also i dont want to teach at a coed school because all the female students will think im grading them harder than the males because most 16 year old girls cant do physics to save their life.