# Activity - Understanding quadratic equation geometrically

## Website interactives/ links/ simulations/ Geogebra Applets

Geogebra file created and shared by Ganesha Shettigar Sir, Asst Master, G.H.S Kalavara, Kundapura, Udupi, available here

## Process (How to do the activity)

1. open the Geogebra file
2. change value of a to 1 (keeping b=0, c=0 and see what happens)
3. change value of c to 1, 2, 3 etc (keeping a=1, b=0 and see what happens)
4. change value of b to 1, 2, 3 etc (keeping a=1, c=0 and see what happens)
2. In each of the above cases, discuss with students the meaning of the curve plotted and how the curve changes on change in values.

## Developmental Questions (What discussion questions)

Distinction between linear equations and quadratic equations.

1. When a=0, what happens?
2. The quadratic equation graph is a distribution around x-axis. Can it be around y-axis? For it to be around y-axis how should the equation be?
3. what does equal roots mean? with respect to distribution around x-axis?
4. what does "c" represent?

## Evaluation (Questions for assessment of the child)

Discuss the nature of the graph in case of the different values of a, b and c and understand

## Question Corner

1. Does a linear equation (can a linear equation) also have a constant?