Quadratic Equation solution activity1
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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)
Download this geogebra file from this link.
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.
- Open the Geogebra file
- Start with values of b=0, c=0
- Change value of a to 1 (keeping b=0, c=0 and see what happens)
- Change value of c to 1, 2, 3 etc (keeping a=1, b=0 and see what happens)
- Change value of b to 1, 2, 3 etc (keeping a=1, c=0 and see what happens)
- In each of the above cases, discuss with students the meaning of the curve plotted and how the curve changes on change in values.
- 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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