2012-02-29 Angry Birds, Quadratics
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Name:____________________________ Date:_________________ Band:________ Algebra II | Packer Collegiate Institute Angry Birds! Quadratics! Geogebra! It is true that the world of Angry Birds is much like the world we live in. We have sneaky pigs, birds that burst into three birds, and giant catapults with which to hurl each far away. Today you’re going to delve deep within the inner workings of the world of Angry Birds. You may learn something about our world too. To do so, you’re going to have to first download a program called Geogebra. Hopefully you did this last night, but if not, the instructions are here. 1. Go to www.geogebra.org 2. Click "DOWNLOAD" 3. Click "Webstart" 4. Once it's downloaded, open the saved file (geogebra.jnlp) to install the program Once the program is installed, you can go to your start menu, and open the program (in a folder called Geogebra 4) In the course conference are four files, titled AngryBirdsHD1.ggb, AngryBirdsHD2.ggb, AngryBirdsHD3.ggb, and AngryBirdsHD4.ggb. Download these four files to your laptop. In Geogebra, open AngryBirdsHD1.ggb. You should see the following on the right hand side of your screen: Notice the sliders for A, B, & C. 1
Transcript of 2012-02-29 Angry Birds, Quadratics
Name:____________________________ Date:_________________ Band:________
Algebra II | Packer Collegiate Institute
Angry Birds! Quadratics! Geogebra!
It is true that the world of Angry Birds is much like the world we live in. We have sneaky pigs, birds that burst into three birds, and giant catapults with which to hurl each far away. Today you’re going to delve deep within the inner workings of the world of Angry Birds. You may learn something about our world too.
To do so, you’re going to have to first download a program called Geogebra. Hopefully you did this last night, but if not, the instructions are here.
1. Go to www.geogebra.org2. Click "DOWNLOAD"3. Click "Webstart"4. Once it's downloaded, open the saved file (geogebra.jnlp) to install the program
Once the program is installed, you can go to your start menu, and open the program (in a folder called Geogebra 4)
In the course conference are four files, titled AngryBirdsHD1.ggb, AngryBirdsHD2.ggb, AngryBirdsHD3.ggb, and AngryBirdsHD4.ggb. Download these four files to your laptop.
In Geogebra, open AngryBirdsHD1.ggb. You should see the following on the right hand side of your screen:
Notice the sliders for A, B, & C.
Drag each of the sliders, and (as the Bravo! Network always says) watch what happens!
Now to get more refined movement, click on the dot for A, let go, and then use the right and left hand arrows. You can slide in a more refined way! See if you can
get A to be 2.45, B to be 4.05, and C to be 2.95. Call me over once you do this!
Now press CTRL + at the same time. What happens? ______________________________
Now press CTLR – at the same time. What happens? _______________________________
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Now press CTRL and click with your mouse on any on the picture and (still holding the CTRL button), drag the mouse around. What happens? ________________________________________________________________________________You now have everything you need. Your goal is to determine if the angry bird hits any of the pigs!
First make a guess without doing any work/using the sliders!
AngryBirdHD1.ggb
Do you think you’ll hit a pig? YES / NOIf yes, circle the pig.
If no, draw where you think the angry bird will end up.
AngryBirdHD2.ggb
Do you think you’ll hit a pig? YES / NOIf yes, circle the pig.
If no, draw where you think the angry bird will end up.
AngryBirdHD3.ggb
Do you think you’ll hit a pig? YES / NOIf yes, circle the pig.
If no, draw where you think the angry bird will end up.
AngryBirdHD4.ggb
Do you think you’ll hit a pig? YES / NOIf yes, circle the pig.
If no, draw where you think the angry bird will end up.
Now play around with each of the sliders, and see if you can figure out the trajectory of the angry bird. Make sure your black parabola hits ALL of the white bubbles! Once you get a good trajectory – save your file! (That way your parabola is saved!)
AngryBirdsHD1.ggbThe quadratic equation on the left hand side (under Dependent Objects):
Did you hit a pig? YES / NOIf yes, circle it. If no, draw where the angry bird ended up.
Click the at the top, and click on the Angry Bird in the catapult. His coordinate should appear on the left hand side of your screen. That coordinate is: ( , )
Similarly, click the at the top, and click on the vertex of your parabola. That coordinate is: ( , )
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AngryBirdsHD2.ggbThe quadratic equation on the left hand side (under Dependent Objects):
Did you hit a pig? YES / NOIf yes, circle it. If no, draw where the angry bird ended up.
Click the at the top, and click on the Angry Bird in the catapult. His coordinate should appear on the left hand side of your screen. That coordinate is: ( , )
Similarly, click the at the top, and click on the vertex of your parabola. That coordinate is: ( , )
AngryBirdsHD3.ggbThe quadratic equation on the left hand side (under Dependent Objects):
Did you hit a pig? YES / NOIf yes, circle it. If no, draw where the angry bird ended up.
Click the at the top, and click on the Angry Bird in the catapult. His coordinate should appear on the left hand side of your screen. That coordinate is: ( , )
Similarly, click the at the top, and click on the vertex of your parabola. That coordinate is: ( , )
AngryBirdsHD4.ggbThe quadratic equation on the left hand side (under Dependent Objects):
Did you hit a pig? YES / NOIf yes, circle it. If no, draw where the angry bird ended up.
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Click the at the top, and click on the Angry Bird in the catapult. His coordinate should appear on the left hand side of your screen. That coordinate is: ( , )
Similarly, click the at the top, and click on the vertex of your parabola. That coordinate is: ( , )
When playing around with the sliders, and changing the parabola, what did you notice? What observations do you have?
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We’ll fill this in as a class.
The major mathematical conclusion(s) from this sheet are:
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