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Solving a Quadratic Equation

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Author: kris shrum
Description:

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.

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Tutorial

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.

Quadratic formula to the tune of Pop Goes the Weasel

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

Lego Music video for quadratic formula

Another song with a video that may help you remember the quadratic formula

Source: Youtube: Frank (Tha-an) Lin

Hector the Battle Droid explains how to use the quadratic formula

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 and the quadratic formula

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