# The Quadratic Pirates by MissPowerPoint

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```									http://www.geocities.com/redcapobrien/sounds.html   www.gummylump.com/ pirate-jigsaw.html
History of Cannons
-One of the oldest pieces of modern
technology that is still in use
-Made from various materials such as iron, brass, bronze
and steel
-Formed as a strong metal tube with a plug at one end and a
hole at the other

-Gunpowder along with a cannonball (a round solid missile of
stone or iron made to be fired from a cannon) are put into the
cannon
-An explosion, caused by a lighted fuse, shoots the cannonball
away from the cannon at high speeds
History of Pirates
• Piracy dates back to more than 3000 years
• The word “pirate” was first used in about 140 BC
by the Roman historian Polybius
• The Greek historian Plutarch described pirates as
“those who attack without legal authority not only
ships, but also maritime cities.”
• Some other common names for pirates are:
“Vikings,” “Sea Thieves,” and “Outlaws.”
• Over 3700 years ago, in Mesopotamia, math exercises
using quadratic equations were written on cuneiform
tablets
• The Babylonians (about 400 BC) developed an
algorithmic approach to solving problems which gave
• 300 BC Euclid developed a geometrical approach that
later mathematicians used to solve quadratic equations
• Hindu mathematicians took the Babylonian methods
further and in 598-665 AD, Brahmagupta gave a modern
method which shows negative quantities
• Today there are many modern applications of quadratic
equations
How does the Quadratic relate to
real life?
• Every quadratic function has a U-shaped graph
called a parabola
• When an object has little air resistance, its path
through the air can be approximated by a
parabola
• Some real life examples:
– The path of a homerun baseball
– The path of cannonball
– The path above the water of a
jumping dolphin

camosun.bc.ca/~jbritton/ paraporpoise_lg.GIF

almu.astronet.pl/wiedza/ komety.shtml
Equation
1. Graphing – solutions are found at the x-
intercepts (where the graph crosses the x-axis)

www.colbycc.org/www/math/ algebra/parabola.gif
Equation (cont)
for ax2 + bx + c = 0, solutions are found
by the formula:

b  b  4ac        2
x
2a
Try this website where it does the work for you:

The Quadratic Pirates are at it again!! They have
tracked down King Pythagoras’ ship with
intentions of steeling his notes on a possible
short-cut in finding the length of the sides of a
right triangle.
Shipmate Scrim (short for Discriminant) was
put in charge of setting up the angle of the
cannon so the cannonball will be a direct
hit on Pythagorean’s ship. Scrim set’s the
cannon at 45° giving the path of the
y = x2 - 200x
If Pythagorean’s ship is 100 feet away from
Scrim’s calculations ensure a direct hit?

http://www.geocities.com/redcapobrien/sounds.html
Solution
Using the quadratic formula we find:
a = 1, b = -200, and c = 0
By plugging these in we get:
(200)  (200)  4(1)(0)
2
x
2(1)
By simplifying we get:
200  200         200  200
x           ,    x
2                 2
Conclusion
• This leaves us with the roots:
x = 200 and x = 0
• Since the Quadratic Pirates ship is
considered to be the 0 feet mark, we
conclude that the cannon- ball traveled
200 feet!!!!
• Shipmate Scrim overshot the target by 100
feet!!
• King Pythagoras makes
it away safely from those

miscalculations that he forced him to
walk the plank!!

http://www.partnersinrhyme.com/soundfx/watersounds.shtml   http://www.cartoonstock.com/
Works Cited
• Larson, Boswell, Kanold, Stiff, R. (2001). Mcdougal littell algebra 1.
Evanston, IL: McDougal Littell Inc..
• Wilczyñski, K. History of Piracy. Retrieved Sept. 16, 2003,
www.piratesinfo.com/
• Piarates of the Caribbean. Retrieved Sept. 16, 2003,
http://www.ecani.com/vi/pirates.htm
• (2003). Blast From The Past, An American Legend. Retrieved Sept.
18, 2003, from Conestoga: http://www.bigbangcannons.com/his.htm
• Brain, M. How Flintlock Guns Work. Retrieved Sept. 18, 2003,
http://science.howstuffworks.com/flintlock1.htm
• The Qudratic Solver. Retrieved Sept. 19, 2003, from Java Script
Source: The Qudratic Solver
• Cannon Proof. Retrieved Sept. 19 02, 2003,
http://dictionary.reference.com/search?q=cannon%20proof

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