Centre for Distance Learning and Innovation

Outcomes

In this lesson you will

rewrite equations of circles, isolating y, and separating into two equations to enable the circle to be graphed on a graphing calculator

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

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