Chapter 10: Conic Sections Name: ______

AMC Name: ______

Chapter 10: Conic Sections Name: ______

PROJECT Date: ______

CONIC SECTIONS PROJECT

In this project, you will be using your knowledge of conic sections to sketch the graphs of the various photos. You will also explore items in our everyday environment that are in the shape of conic sections and find equations to accurately represent these shapes.

NAME: ______NAME: ______

PART 1: Conversion Calculations

Directions: Covert the standard form of each conic section into its “graphing form.” To convert graphing form, solve for the y variable. You will use this graphing formula throughout the project

THE CIRCLE

Standard Form: Graphing Form: ( y= _____ )

x-h2+y-k2=r2

THE PARABOLA

Standard Form: Graphing Form: ( y= _____ )

x-h2=4p(y-k)

Standard Form: Graphing Form: ( y= _____ )

y-k2=4p(x-h)

THE ELLIPSE

Standard Form: Graphing Form: ( y= _____ )

x-h2a2+y-k2b2=1

Standard Form: Graphing Form: ( y= _____ )

y-k2a2+x-h2b2=1

THE HYPERBOLA

Standard Form: Graphing Form: ( y= _____ )

x-h2a2-y-k2b2=1

Standard Form: Graphing Form: ( y= _____ )

y-k2a2-x-h2b2=1

PART 2: Use Geometer’s Sketchpad on the laptop to write an equation of the conic section that best fits each picture.

PHOTO 1: Penn State Nittany Lion

Conic Section: ______

Standard Form: ______Graphing Form: ______

PHOTO 2: Philadelphia 76ers

Conic Section: ______

Standard Form: ______Graphing Form: ______

PHOTO 3: McDonald’s

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

PHOTO 4: Major League Baseball

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

PHOTO 5: Olympic Rings

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

______

______

______

PHOTO 6: Audi

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

______

______

PHOTO 7: Target

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

______

PHOTO 8: TOYOTA

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

______

PHOTO 9: CBS Eye

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

______

PHOTO 10: Pepsi (EXTRA CREDIT)

Conic Section: ______

Standard Form: ______Graphing Form: ______

Trig Equation: ______

PART 3: Search the internet to find photos that represent various conic sections. Copy and paste these photos into Geometer’s Sketchpad. Use Geometer’s Sketchpad on the laptop to write an equation of the conic section that best fits each photo.

PHOTO 11: ______

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

______

PHOTO 12: ______

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

PHOTO 13: ______

Conic Sections: ______

Standard Form: ______Graphing Form: ______

______

______