The following is a scheme of classroom work designed to introduce a pupil to quadratic equations, graphically and algebraically.

Newton's Chord Rule is applied in (3) to calculate by Arithmetic close approximations to the roots of an equation. One graph suffices for any number of equations, as in (2), (5) and (7). Both the method of completing the square and the method of factors are required as algebraic equivalents, as in (4), (6), (7). The general rules for solving quadratics sum up the lessons.