The learner will be able to solve any quadratic equation by using the quadratic formula.
This tutorial is designed to help students become familiar with the math language used in solving the quadratic equation using the quadratic formula as well as providing tools to help remember and solve the quadratic formula.
Terms:
Quadratic formula: The formula that can be used to solve any quadratic equation ax² + bx + c = 0, where a does not equal 0 and the discriminant ( b² - 4ac) is > 0.
Discriminant: The expression underneath the radical sign in the quadratic formula, b² - 4ac, used to help determine how many real solutions there are to a quadratic equation.In order for there to be real solutions the discriminant must be > 0.
Roots: The solution(s) to a quadratic equation. Other terms that can be used to describe roots are solutions, zeroes, x-intercepts.
This is an easy way to remember the quadratic formula using a simple children's song.
Source: Youtube: Katie Imbro and the Oakmont High School Choir
Another song with a video that may help you remember the quadratic formula
Source: Youtube: Frank (Tha-an) Lin
Entertaining video of how to use the quadratic formula. People/movies that might make the vide more meaningful: Michael Jackson, Paris Hilton, Kenny (South Park), Optimus Prime (Transformers), Mumble the Penguin (Happy Feet), Taj Mahal Badalandabad (Van Wilder)
Source: Youtube: Joe Samulak
Video explaining the zero property (already learned) and the quadratic formula and why it is necessary to learn the quadratic formula. To start at the quadratic formula begin at 2:14
Source: Bill Witte
Online practice with solutions worked out:
Please go to this site: (copy and paste)
http://regentsprep.org/Regents/math/algtrig/ATE3/quadpractice.htm
Source: Donna Roberts; Regentsprep.org
