Quadratics In Baseball By Azucena Carrillo ax² + bx + c = 0, a ≠ 0

Presentation Objective The project will help students learn how quadratic equations are also used in a baseball game. The project will help students learn how quadratic equations are also used in a baseball game.

What is a quadratic equation? Standard form of the Quadratic Equation ax² + bx + c = 0, a ≠ 0. a is the coefficient of x². b is the coefficient x. c is the constant term. a is the coefficient of x². b is the coefficient x. c is the constant term. The Quadratic Formula gives the solutions of any quadratic equation The Quadratic Formula gives the solutions of any quadratic equation What shape does the graph of the quadratic equation have? U-shape.

Example of A Quadratic Equation A slow pitch softball is pitched to a batter. The ball follows a path in which the height, h, is given by h = -2t² + 8t + 3, where t is the time in the height, h, is given by h = -2t² + 8t + 3, where t is the time in seconds elapsed since the ball was pitched. seconds elapsed since the ball was pitched. (a) Draw a sketch of the graph. Be sure to label your axes and scale. (a) Draw a sketch of the graph. Be sure to label your axes and scale. (b) At what height was the ball released from the pitcher's hand? 3 feet (b) At what height was the ball released from the pitcher's hand? 3 feet (c) What is the maximum height reached by the ball? 11 feet (c) What is the maximum height reached by the ball? 11 feet (d) The batter hit the ball at the same height in which the pitcher released (d) The batter hit the ball at the same height in which the pitcher released the ball. How much time elapsed until the ball was hit? 4 seconds the ball. How much time elapsed until the ball was hit? 4 seconds Example from : “Algebra 1, Unit #5 – Quadratic Functions – L6.” The Arlington Algebra Project. LaGrangeville, NY Sept unctionsDay1.pdfhttp:// unctionsDay1.pdf

Example of Quadratic Equation cont’d t h

Where are quadratics used? Used to find the stopping distance of a car traveling at a given velocity. Used to find the stopping distance of a car traveling at a given velocity. Used by engineers to build bridges. Used by engineers to build bridges. Used in baseball statistics. Used in baseball statistics. Where else is it used? Where else is it used?

Blog Reflection Write about your experience with the presentation. Write about your experience with the presentation. What did you learn? What did you learn? How can you apply what you learned outside of class? How can you apply what you learned outside of class?

Works Cited 5L6ApplicationsofQuadraticFunctionsDay1.pdf 5L6ApplicationsofQuadraticFunctionsDay1.pdf math textbook