Difference between revisions of "Quadratic Equation solution activity1"
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=== Objectives === | === Objectives === | ||
| + | Being able to identify the roots of the quadratic equations graphically. | ||
=== Estimated Time === | === Estimated Time === | ||
| + | 30 minutes | ||
| − | === Prerequisites/Instructions, prior preparations, if any === | + | ===Prerequisites/Instructions, prior preparations, if any === |
| + | Knowledge about equations, linear equations, meaning of quadratic equations | ||
=== Materials/ Resources needed === | === Materials/ Resources needed === | ||
| − | Click here to [[:File:Quadratic Equation.ggb|open]] the file | + | * Click here to [[:File:Quadratic Equation.ggb|open]] the file |
| + | |||
| + | * This Geogebra file can be used to show [[:File:Graph and zeroes of quadratic polynomials.ggb|Graph and zeroes of Quadratic polynomials.]] | ||
=== Process (How to do the activity) === | === Process (How to do the activity) === | ||
| Line 12: | Line 17: | ||
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 22: | Line 26: | ||
=== 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 - [[Quadratic Equations#Activities 4|click here]] | ||
| − | + | [[Category:Quadratic Equations]] | |
Latest revision as of 18:38, 23 May 2021
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?
Go back to the page - click here