The Parabola as a Locus: Paving the Way to the CCSS

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Armando Moises Martinez-Cruz
Jose Natividad Contreras

Abstract

Authors present a teaching activity conducted in a geometry class for prospective secondarymathematics teachers.  Activity goal  is to derive the equation of the parabolagiven the focus and the directrix (CCSS). Additionally, students use Geogebra to investigate the effect of thefocus and the directrix on the graph.

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Miami University

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Author Biographies

Armando Moises Martinez-Cruz, CSU Fullerton

Professor of Mathematics and Graduate AdvisorDept. of Mathematics

Jose Natividad Contreras, Ball State University

Department of Mathematical SciencesAssistant Professor