Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates

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SE Precalculus
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Chapter 8: Conic Sections, Parametric Equations, and Polar Coordinates

  • Subject(s): Math
  • Grade range: 9-12
  • Release date: 07-25-2017
  • Tags: double-napped cone, conic section, locus, ellipse, major axis, minor axis, focus, hyperbola, transverse axis, asymptotes, polar coordinates, cartesian coordinates, polar equations, pole, polar graphs, symmetry, circle, cardioid, limacon, rose petal, lemniscate, parametric equations, orientation, parameter, projectile motion

Description

In this chapter, we introduce conic sections, parametric equations, and polar coordinates.

Standards

M.P.3.F, M.P.3.G, M.P.3.H, M.P.3.I, M.P.3.D, M.P.3.E, M.P.3.A, M.P.3.B, M.P.3.C

Resources

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8.01 Conic Sections
Resource ID: SE121052 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn the definition of a double-napped cone, and how conic sections are formed at the intersection of a plane and a double-napped cone.
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8.02 Ellipses
Resource ID: SE121053 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn the analytic definition of an ellipse, the standard form of the equation of an ellipse, and how to graph ellipses.
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8.03 Hyperbolas
Resource ID: SE121054 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn the analytic definition of a hyperbola, the standard form of the equation of a hyperbola, and how to graph hyperbolas.
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8.04 Parametric Equations
Resource ID: SE121055 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn about parametric equations, how to sketch parametric curves, and the differences between parametric curves and rectangular graphs.
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8.05 Polar Coordinates and Equations
Resource ID: SE121056 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn about the polar coordinate system and how to convert to and from the rectangular coordinate system.
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8.06 Polar Graphs
Resource ID: SE121057 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn how to graph polar curves.
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8.07 Special Polar Graphs
Resource ID: SE121058 Grade Range: 9-12 By: Instructional Materials Subject: Math
In this video, students will learn the equations and graphs of special polar curves.
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