Learning Resources

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Outcomes

In this lesson you will

  • examine the equation of an ellipse as a transformation of a circle
  • write the major axis and minor axis of an ellipse

By the end of this section students will be able to:

  • analyze and translate between symbolic, graphic, and written representations of circles and ellipses
  • translate between different forms of equations of circles and ellipses
  • write proofs using various axiomatic systems and assess the validity of deductive arguments
  • write the equations of circles and ellipses in transformational form and as mapping rules to visualize and sketch graphs
  • demonstrate an understanding of the transformational relationship between a circle and an ellipse
  • apply properties of circles
  • solve problems involving the equations and characteristics of circles and ellipses

Prerequisites

To be successful in this lesson, it would be helpful to know the following:

  • rewrite from general form to transformational form for circles
  • mapping notation for circles