Quadratic Equation solution activity1

Objectives
Being able to identify the roots of the quadratic equations graphically.

Estimated Time
30 minutes

Prerequisites/Instructions, prior preparations, if any
Knowledge about equations, linear equations, meaning of quadratic equations

Materials/ Resources needed

 * Click here to open the file


 * This Geogebra file can be used to show Graph and zeroes of Quadratic polynomials.

Process (How to do the activity)
Procedure:

The general form of quadratic equation is ax²+bx+c=0,where a, b, c are known values, x is variable and a≠0.This equations can also occur in different forms such as ax²+bx=0, ax²+c=0 and ax²=0.
 * 1) Open the Geogebra file
 * 2) Start with values of b=0, c=0
 * 3) Change value of a to 1 (keeping b=0, c=0 and see what happens)
 * 4) Change value of c to 1, 2, 3 etc  (keeping a=1, b=0 and see what happens)
 * 5) Change value of b to 1, 2, 3 etc  (keeping a=1, c=0 and see what happens)
 * 6) In each of the above cases, discuss with students the meaning of the curve plotted and how the curve changes on change in values.
 * 7) Identify and note down the roots of the given set of values for a, b, c in quadratic equations.

Evaluation at the end of the activity
In quadratic equations why is a≠0? What happens to the quadratic equation, if a=0?

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