Monday, 18 February 2013

The angry birds will never miss again!

Master Quadratic Equations so that the angry birds will never miss again!

Download Geogebra file here.


The projective of the angry bird is known as a p_________________. It can be modeled by the general quadratic equation y = ______________________________. Completing the square allows us to use an alternate form of the quadratic equation to model the same projectile.

Activity 1

·            Check the checkbox “Show y = ax^2+bx+c”.

·            Move the slide with value a to change its value.
Hint: You can use the left and right arrow keys to change its value by 0.1 at one time.

·            Change the values of a, b and c to match the project of the curve to destroy the bad piggies.
Hint: You may use tab or shift-tab to toggle between the slider controls forth and back and use the left or right arrow keys to change the values by 0.1 at one time.

Questions for Activity 1
1.     Is it easy to get a perfect projectile to destroy the bad piggies?

2.     What are the values of a, b and c for your best estimate?

Activity 2

·            Check the checkbox “Show y = 0.5(x-h)^2+k”.

·            Move the slides with value h and k to change their values to match the projectile of the curve to destroy the bad piggies.


Questions for Activity 2
3.     What are the values of h and k for your best estimate?

4.     Comparing the 2 equations you have in activity 1 and 2:
(a) Are they the same?
(b) How do you change from one form to another?

For more exploration activity, refer to Ace-learning site and navigate to
Explorative Activity -> Graphs -> Sketch of Quadratic Function Graphs I: y = ±(x-a)(x-b)

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