2013 IEBC www.iebcnow.org For more information on SLATE Demonstration Curricula, contact: Shelly Valdez, Ed.D IEBC Director of Educational Collaboration.

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Presentation transcript:

2013 IEBC For more information on SLATE Demonstration Curricula, contact: Shelly Valdez, Ed.D IEBC Director of Educational Collaboration

Parabola IEBC SLATE Demonstration Curricula

Parabola A parabola is a plane conic section curve formed by the intersection of a right circular cone and a plane parallel to a side of the cone. Mathematically, a parabola is the two-dimensional graph of a second-degree or quadratic equation or function of the form IEBC SLATE Demonstration Curricula

Conic Sections and Shapes Hyperbola Parabola Circle Ellipse Parallel to the side IEBC SLATE Demonstration Curricula

Parabolic Curve Applications In technology Parabolic antennas and satellites Solar Parabolic reflection In physics Parabolic trajectory Zero gravity Everyday Nature’s parabolas Architecture Home Tools IEBC SLATE Demonstration Curricula

Trajectory for Launched Object IEBC SLATE Demonstration Curricula

Trajectory: NASA Zero G Aircraft Parabolic Flight 30 thousand feet Zero-G Duration (seconds) 1.8-G Source: NASA-MSFCNASA-MSFC Plane at 45 ° IEBC SLATE Demonstration Curricula

Parabolic Concentration IEBC SLATE Demonstration Curricula

Concentration Examples Satellite antenna Source: NASA-GRCNASA-GRC Technology satellite IEBC SLATE Demonstration Curricula

Concentration Examples Trough solar dish Source: Sandia National Laboratories IEBC SLATE Demonstration Curricula

Parabolic Dispersion IEBC SLATE Demonstration Curricula

Dispersion Examples Source: Parabolic reflector Reflected light forms a parallel beam directed straight ahead. Focus IEBC SLATE Demonstration Curricula

Parabolic Curves in Sports Source: IEBC SLATE Demonstration Curricula

Parabolic Curves at Home IEBC SLATE Demonstration Curricula

Architecture San Francisco Golden Gate Bridge IEBC SLATE Demonstration Curricula

Storming Castle Pi: Overarching Problem The Raving Irrationals are trying to overtake the Castle of Pi. They want to launch burning bales of hay into the castle to drive out the citizens of Pi. When the catapult arm is pulled back to ground level, the hay bale is launched at a distance of 100 feet west of the castle wall. The wall is 35 feet high. The bale clears the wall by a height of 15 feet and lands inside the castle, which is also 100 feet from the wall. The Irrationals come under attack and must retreat from this site. Their new position is 70 feet southwest of the wall. They need to relaunch; however, the wall on this side is 45 feet high. If the castle is 120 feet in diameter, will the hay bales land inside the castle wall or fly over it? IEBC SLATE Demonstration Curricula

Application of a Parabola Used with permission by: 2013 IEBC SLATE Demonstration Curricula