Module 7: Hooked on Conics

Learning Objectives

1. Describe the conic sections

2.  Use the standard form of the equation of a circle to write the analytic description of a circle
3.  Write the equation of a circle in standard form
4.  Define the Unit Circle
5.  Graph a circle

6.  Define a parabola
7.  Find and write the standard equation of a parabola
8.  Find the vertex, focus and directrix of a parabola and graph the parabola

9.  Define an ellipse
10.  Find the vertices and the foci of an ellipse and graph the ellipse
11.  Find and write the standard equation of an ellipse 

13.  Define a hyperbola
14.  Identify the transverse and conjugate axes
15.  Find and write the standard equation of a hyperbola
16.  Find the center, foci, asymptotes and vertices of a hyperbola and graph the hyperbola


Important Topics:

  • Definition of a Circle
  • Standard Equation of a Circle
  • Writing the Equation of a Circle in Standard form
  • Definition of a Unit Circle
text item
Video Lessons 7.2

Important Topics:

  • Definition of a Parabola
  • Standard Equation of a Vertical Parabola
  • Standard Equation of a Horizontal Parabola
  • Writing the Equation of a Parabola in Standard Form

Important Topics:

  • Definition of an Ellipse
  • Standard Equation of an Ellipse
  • Writing the Equation of an Ellipse in Standard Form & Alternate Standard Form
  • Eccentricity of an Ellipse

Important Topics:

  • Definition of a Hyperbola
  • Standard Equation of a Vertical Hyperbola
  • Standard Equation of a Horizontal Hyperbola
  • Writing the Equation of a Hyperbola in Standard Form
  • Strategies for Identifying Conic Sections
text item
Video Lessons 7.5
  1. The Hyperbola part 1 of 2 (standard form - graph)
  2. The Hyperbola part 2 of 2 (general to standard form)

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