Ellipses
Youtube videos by Julie Harland are organized at http://YourMathGal.com. This series of videos on Ellipses begin with the standard equation of an ellipse centered at the origin, and how to graph it. It moves on to ellipses centered elsewhere in the plane, and the standard and general equation of an ellipse, as well as rewriting a standard equation as a general equation, and vice versa, which includes completing the square. Videos also cover how to recognize equations of ellipses, and write equations of ellipses from looking at the graph. Starting with Ellipses Part 8, the definition of an ellipse, foci, major and minor axes are introduced.
Ellipses Part 1: Part 1 of equations and graphs of ellipses centered at the origin (0,0)
Ellipses Part 2: Part 2 of equations and graphs of ellipses centered at the origin (0,0)
Ellipses Part 3: Equations and graphs of ellipses centered at (h,k)
Ellipses Part 4: Shows how to write the general form of an ellipse from the standard form.
Ellipses Part 5: Shows how to write the standard form of an ellipse from the general form.
Ellipses Part 6: Shows how to write the standard form of an ellipse from the general form.
Ellipses Part 7: Write the equation of an ellipse by looking at the graph.
Ellipses Part 8: Definition of an ellipse; introduce foci, vertices, length of major axis, endpoints and length of minor axis, etc.
Ellipses Part 9: Working several problems regarding ellipses, including stating foci, vertices, length of major axis, endpoints and length of minor axis, etc.
Ellipses Part 10: Writing equation of ellipses with center (0,0) in standard form given various info about the ellipse.
Ellipses Part 11: Writing equation of ellipses with center not at (0,0) in standard form given various info about the ellipse.
Ellipses Part 12: Writing equation of ellipses with center not at (0,0) in standard form given various info about the ellipse.