The practice of proof writing is too often restricted to rigid two-column format and limited to the one-year experience know as upper school geometry. In this session I will make a case for teaching proof writing, the composing and presenting of convincing mathematical arguments, in a variety of formats across the mathematics curriculum. Then I will present the following series of proofs/mathematical arguments accessible to middle and upper school students: deriving the formula for the area of a circle; proving the infinitude of primes; two proofs of the Pythagorean Theorem; proving the irrationality of the square root of two; visualizing the derivation of the quadratic formula; and proving the Fundamental Theorem of Calculus.