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Quadratic Formula Teacher Resources
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This is comprehensive lesson that considers many aspects of quadratic functions. It includes using factoring, completing the square and the use of the quadratic formula for finding the zeros of the function (including imaginary roots). It also reverses the whole process by looking at either different graphs of quadratic functions or zeros that are given and challenges the learner to derive the function. This lesson provides an excellent review for the second year algebra student or a multi-lesson unit for the more novice student.
Armed with their newfound (or refreshed) knowledge of the quadratic formula, viewers can now work with Sal to prove the formula - an important skill that is often ignored in algebra. Once they learn how to both use and prove the quadratic formula, mathematicians will have very little trouble correctly solving these equations.
It's the video your algebra class has been waiting for - Sal explains the quadratic formula! He describes it as "one of at least the top five most useful formulas In mathematics" and recommends that it be memorized, as long as one also remembers how to prove it. The rest of the video contains several clear and helpful applications of the formula in quadratic equations.
Students investigate the formula used to solve quadratic equations. In this algebra lesson, students solve quadratic equations using the quadratic formula and the discriminant to tell where the graph will intercept the x-axis. They set the equation to zero and solve for x.
In this quadratic formula worksheet, 9th graders identify and solve 20 different problems by applying the quadratic formula to each one. First, they read the lesson and examples to identify the quadratic formula. Then, students use the formula to solve each of the listed equations.
Explore the connection between solutions to quadratic functions and their graphs. Use the quadratic formula to solve equations, sketch the graph, and classify the solutions as real or complex. Included are complete lesson plans and an activity handout with answers. Unfortunately, the graphic organizer handout cannot be accessed, but you can assess learners' understanding by having them create their own graphic organizers.
Students explore the use of the quadratic formula. After solving problems using factoring and completing the square, students then use the quadratic formula. They evaluate the discriminate, determine the nature of the roots and memorize the quadratic formula. After evaluating each method, students discuss hot to determine which method is easier to use.
Students explore quadratic equations. Using dry erase boards, students graph solutions to quadratic equations and solve problems using the quadratic formula. They explore the quadratic formula and the use of the discriminant to predict the number of solutions. Links are provided to a quadratic calculator and animation of the derivation.
"Quadratic Chutes and Ladders" helps the class review how to solve quadratic equations using four different methods. They solve each equation by completing the square, using the quadratic formula, graphing, or factoring depending on the number rolled on dice. A fun way to review some difficult concepts.
What do you do when you are trying to solve a quadratic equation and factoring and graphing aren't working out for you? Use the quadratic formula! Watch this video to find out exactly how to find your solutions with the quadratic formula. The tutorial offers explanation for each step as well as a demonstration of how to check your answers.
In this Algebra II worksheet, 11th graders use the discriminant to determine the nature of the roots of a quadratic equation, determine the best method to use when solving a quadratic, and practice using the quadratic formula to determine the roots of the equations. The four page worksheet contains nine worked examples and five practice problems. Solutions are not provided for the practice problems.