Difference between revisions of "Quadratic Equation solution activity1"
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=== Objectives === | === Objectives === | ||
| − | Being able to identify the roots of the quadratic equations. | + | Being able to identify the roots of the quadratic equations graphically. |
=== Estimated Time === | === Estimated Time === | ||
| Line 6: | Line 6: | ||
===Prerequisites/Instructions, prior preparations, if any === | ===Prerequisites/Instructions, prior preparations, if any === | ||
| − | Knowledge about equations, linear equations, | + | Knowledge about equations, linear equations, meaning of quadratic equations |
=== Materials/ Resources needed === | === Materials/ Resources needed === | ||
| Line 15: | Line 15: | ||
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. | 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 | ## 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 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 c to 1, 2, 3 etc (keeping a=1, b=0 and see what happens) | ||
| Line 25: | Line 24: | ||
=== Evaluation at the end of the activity === | === Evaluation at the end of the activity === | ||
| + | In quadratic equations why is a≠0? What happens to the quadratic equation, if a=0? | ||
Go back to the page - [[KVS Algebra|click here]] | Go back to the page - [[KVS Algebra|click here]] | ||
Revision as of 10:36, 30 August 2020
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
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?
Go back to the page - click here