(Pictures shown were chosen by help of Jacob Reese- a student collaborating with me.)

Coefficient-number you multiply the variable to.

Constant-a number that you add or make equal to the equation.

Equation= a set of expression equal to a number.

completing the square-a procedure that you use to get the roots of a quadratic equation. The oldest way in fact. (Even the Babylonians did it that way.) But is too complicated for some examples.

quadratic formula: the algorithm you can you to find a precise answer to ANY quadratic equation.

algorithim-series of steps or special formula with steps.