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Conic Sections - Ellipse Homework Help Resources


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This activity is intended to provide students with an opportunity to discover a few interesting properties of an ellipse. The first property students will explore forms the basis of the definition of an ellipse, i.e., the set of all points such that the sum of the distances from these points to two fixed points is constant.
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Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at the origin.
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This activity is intended to provide students with an opportunity to discover a few interesting properties of an ellipse. The first property students will explore forms the basis of the definition of an ellipse, i.e., the set of all points such that the sum of the distances from these points to two fixed points is constant.
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This activity explores models for the elliptical orbit of Jupiter. Problem 1 reviews the geometric definition of an ellipse as students calculate for a and b from the perihelion and aphelion of Jupiter and then graph the ellipse. Problem 2 develops the concept of a parametric curve by using a data capture to discover the coordinate equations of an ellipse.
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Students will explore two different methods for constructing an ellipse. Students discover that the sum of the distances from a point on an ellipse to its foci is always constant. This fact is then used as the basis for an algebraic derivation of the general equation for an ellipse centered at the origin.
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A helpful scientific calculator that runs in your web browser window.
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This page gives a chart summarizing the equations of the conic sections: circle, hyperbola, parabola and ellipse.
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In this video, Salman Khan of Khan Academy finds the foci of an ellipse.
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Excellent site showing examples of algebra, trig, calculus, differential equations, and linear algebra.
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