Goal
To create a foldable that:
 Defines each of the conic sections: parabola, circle, ellipse, and hyperbola
 Includes and explains the standard form of the equations for each of the conic
sections
 Defines specific points, lines and distances that are associated with each figure
 Shows how to graph each conic section given an equation
Directions:
Cover
The front book cover must say “CONICS” and have your name/period on the
bottom right corner and include:
 A picture or collage, which can be abstract, which uses all the shapes of
the four conic sections (the picture can continue to the back cover, and
bonus points are awarded for creativity)
Page 1
Classify
This page will include the following:
 Rules for identifying conic sections from equations
Page 2
Circles
This page will include the following:
 The written definition of a circle
 The standard form of the equation of a circle with center at ( h , k )
 A graph of two circles of different radii but the same center
 Definitions, in your own words, for the following terms:
Center, radius, diameter
 Identification of the center, a radius, and a diameter on your graphs
Page 3
Ellipses
This page will include the following
 The written definition of an ellipse
 The standard form of an ellipse with center ( h , k ) whose major axis is
horizontal, and an explanation as to how you can tell that the major axis is
horizontal
 The standard form of an ellipse with center ( h , k ) whose major axis is
vertical, and an explanation as to how you can tell that the major axis is
vertical
 A graph of an ellipse whose major axis is horizontal
 A graph of an ellipse whose major axis is vertical
 Definitions, in your own words, for the following terms
Foci, Major axis, minor axis, center
 Identification of the foci, major axis, minor axis and center on both graphs
Page 4
Hyperbolas
This page should include the following:
 The written definition for a hyperbola
 The standard equation for a hyperbola with center ( h , k ) in which the
transverse axis is horizontal, and an explanation as to how you can tell that
the transverse axis is horizontal
 The standard equation for a hyperbola with center ( h , k ) in which the
transverse axis is vertical, and an explanation as to how you can tell that
the transverse axis is vertical
 A graph of a hyperbola in which the transverse axis is horizontal
 A graph of a hyperbola in which the transverse is vertical
 Definitions, in your own words, for the following terms:
Transverse axis, conjugate axis, asymptote, vertex, foci, center
 The equations for the asymptotes for each hyperbola and an explanation as
to how you find the asymptotes and their equations
 Identification of the transverse axis, conjugate axis, center, asymptotes,
vertices, co-vertices, and foci for your graphs.
Page 5
Parabolas
This page will include the following:
 The written definition of a parabola
 The standard form of the equation of a parabola that opens up or down
 The standard form of a parabola that opens left or right
 A graph of a parabola that opens up
 A graph of a parabola that opens to the side
 Definitions, in your own words, for the following terms:
Vertex, focus & directrix
 Identification of the vertex, focus& directrix on both graphs
Due Date
Foldables are due no later than your class period on Tuesday, April 1.
Late projects will not be accepted for any reason, INCLUDING EXCUSED
ABSENCES!
Grading
 You will be graded on meeting the requirements, following directions,
format, neatness, and mathematical correctness according to a rubric
 There is also a category for “attractiveness” of this project – using
multiple colors, being neat and creative, etc. You are competing with the
rest of your class!
 Spelling counts!