Common Core State Standards
Geometry
Expressing Geometric Properties with Equations
Translate between the geometric description and the equation for a conic section
Lessons (2)
Introduces students to a geometric derivation of the conic sections.
This lesson utilizes the concepts of cross-sections of three-dimensional figures to demonstrate the derivation of two-dimensional shapes.
Activities (2)
Manipulate different types of conic section equations on a coordinate plane using slider bars. Learn how each constant and coefficient affects the resulting graph. Choose from vertical or horizontal parabola, circle, ellipse, and vertical or horizontal hyperbola.
Explore cross sections of different geometric solids: cone, double cone, cylinder, pyramid, and prism. Manipulate the cross section with slider bars, and see how the graphical representation changes.