This is the first of a series of task aiming at understanding the quadratic formula in a geometric way in terms of the graph of a quadratic function.
This task is intended for instruction and to motivate "Building a general quadratic function.''
3:18 movie helping viewer to memorize the quadratic formula using symbol imagery and taking away one symbol at a time.
Video lecture on quadratic equations and their graphs. The video connects the equation, the graph, the roots, and the minimum or maximum of the quadratic function.
In this seminar will learn how to use the Quadratic Formula to solve quadratic equations. You will learn to place quadratic equations into the appropriate form in order to use the formula, and you will be shown how to correctly interpret the structure of the formula so that all of the calculations are performed correctly. You will have to apply correct and careful order of operations in order to correctly simplify the radicals. You will apply techniques you have learned to simplify radical expressions. You will then interpret your solutions not only as solutions to the equation, but then translate that information to understand how it relates to the graph of the parabola that represents the function.StandardsCC.2.2.HS.C.5Construct and compare linear, quadratic, and exponential models to solve problems.
This lesson unit is intended to help teachers assess how well students are able to solve quadratics in one variable. In particular, the lesson will help teachers identify and help students who have the following difficulties: making sense of a real life situation and deciding on the math to apply to the problem; solving quadratic equations by taking square roots, completing the square, using the quadratic formula, and factoring; and interpreting results in the context of a real life situation.