Analytic Geometry (Conics): Precalculus: TI Math Nspired

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Analytic Geometry (Conics)

The classic conic sections are addressed in this unit, including parabolas, ellipses and hyperbolas. Applications include special reflective properties of parabolas and ellipses, and the parametric forms of these curves are discussed.

Precalculus: Analytic Geometry (Conics) Activities

Title
Introduction to Conic Sections This lesson involves observing how each of the conic sections is formed and connecting the locus definition of a parabola with the vertex form of a parabola. Standards \| Textbook	3046	15
Foci Definition of Ellipses and Hyperbolas This lesson involves observing and describing the relationships between the foci of ellipses and hyperbolas and the shape of the corresponding curves. Standards \| Textbook	2105	1
Focus/Directrix Definition of Conics This lesson involves observing and describing relationships between the focus and the directrix of each conic: parabolas, ellipses, and hyperbolas. Standards \| Textbook	2031	1
Parametric Conic Sections This activity has students create sliders to control parameters of parametric equations. Standards \| Textbook	1963	0
Polar Conics This lesson involves exploration of polar equations for conic sections. Standards \| Textbook	1924	0
Elliptic Variations This lesson involves exploring the curves that result from varying the defining conditions of an ellipse. Standards \| Textbook	1929	2
Reflective Property of Conics This lesson involves investigating the properties of basic reflective principles of conics. Standards \| Textbook	1925	0

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