Quadratic Equation Teacher Resources
Find Quadratic Equation educational ideas and activities
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Solving Quadratic Equations by Square Roots
Introducing square roots into the quadratic equation mix, Sal takes care to address the ways viewers might go about solving the problems, both correctly and incorrectly. The video is an integral step in not only Sal's algebra series, but also in a developing math education.
Discriminant of Quadratic Equations
Defining the word "discriminant" in the context of the quadratic formula, Sal continues to guide viewers through the process of quadratic equations. The true value of this video, as in Sal's entire series, is the emphasis on truly understanding the mathematical process necessary to solve the problem. Sal wants to foster a deeper learning within young mathematicians, rather than just handing them a formula and telling them to use it.
New! Rewriting Quadratic Equations in Different Forms
Help algebra learners gain insight into the different forms of a quadratic equation. Using a motion sensor and a can on a table that has one end slightly elevated, learners gather data from rolling the can. They graph their data in relation to time and distance. Then looking at quadratic equations in three forms (vertex form, factored form, standard form), they compare them graphically and algebraically.
Introducing the Properties of Quadratic Equations
Practice relating linear equations to quadratic equations and identify the properties of a quadratic equation. Draw a quadratic equation and assess how the coefficients a, b, and c affect the shape of a parabola. Create a model of each of the quadratic equations utilizing modeling clay.
Solving Quadratic Equations by Completing the Square
"The neat thing about completing the square is that it will always work," Sal explains, "no matter how crazy the problem is." A basic overview of how to complete the square, this video provides a good background for both beginning and advanced learners who are working on quadratics.
Introduction to the Quadratic Equation
Sal first solves a couple of equations using the factoring method he has already taught. Next, he introduces the quadratic formula and demonstrates how to plug the numbers from the quadratic equation into the quadratic formula. Step-by-step, he demonstrates how to solve quadratic formula to get the roots.
Unit Plan On Quadratic Equations
Students explore a variety of ways of solving quadratic equations. Students choose from graphing, factoring, finding square roots, completing the square and using the Quadratic formula. They ponder in the end on polynomial equations.
Chutes and Ladders- Quadratic Equations Review
"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.
Quadratic Equation with Trinomials
Students create quadratic equations and factor out to find the roots. In this algebra lesson plan, students watch a short video on how to factor trinomials. They are taught two methods and given the option to use either method.
Exploring Quadratic Equations
Eleventh graders explore quadratic equations. In this Algebra II instructional activity, 11th graders use Geometer’s Sketchpad to explore the properties of quadratics and the connections with polynomials and linear equations. The instructional activity is designed as an introduction and quadratic equations are not introduced until the end.
Rational Roots and Quadratic Equations
Learners differentiate and convert between rational roots and quadratic equations. In this algebra lesson, students solve quadratic and rational expressions finding the roots or intercepts of the graphs of a quadratic and linear equation. They relate the functions to the real world.
Solving Quadratic Equations
Explore methods of solving quadratic equations. Review linear functions through playing a "face off" game. Using a graphing calculator, graph quadratic functions and identify the parabola. Define the number of roots in a linear equation and how to algebraically find them. Factor, complete the square, and use the quadratic formula to solve equations.
How Do You Solve a Quadratic Equation by Completing the Square?
Completing the square is an effective way to solve a quadratic equation. Introduce your class to this technique and use this video to complement your lesson. This resource takes viewers through the process of completing the square, solving the quadratic equation , and checking answers, explaining each step along the way. A great resource.
Solving Quadratic Equations
In this Algebra II activity, 11th graders solve quadratic equations by factoring, completing the square, and the quadratic formula. Application problems are included. The two page activity contains seventy-two problems. Answers are included.
Analyzing the Discriminant
This is a detailed lesson plan that focuses on using the discriminant to determine the nature of the roots of a quadratic equation. The lesson plan begins with learners investigating similarities and differences among graphs of four quadratic equations. After discussing their findings, they work in groups to complete exercises designed to develop the connections between the value of the discriminant of an equation, the nature of its roots, and the number of x-intercepts of its graph. The resource includes a good number of follow-up exercises to help solidify concepts. It also includes two optional PowerPoint presentations.
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.
Quadratic Equations with Negative Discriminate
Solve polynomial equations of degree using different theorems and apply the zero factor theorem for unknown numbers in a quadratic equation. Also use the discriminate to find out the kind of solutions to given quadratic equations shown.
Selecting the Best Method for Solving Quadratic Equations
In this solving quadratic equations worksheet, students select the best method to solve a quadratic equation and then solve five quadratics. Fully worked examples are provided.
Introduction to Solving Quadratic Equations by Factoring
Students solve quadratic equations. In this algebra lesson, students factor and graph linear and quadratic functions. They identify the standard and linear form of each equation.
Quadratic Equations and Graphing
Students graph quadratic equations. In this algebra lesson, students solve quadratic functions with factoring and the quadratic formula. They find other ways to solve quadratics and graph it.