Centre for Distance Learning and Innovation

Outcomes

In this lesson you will

determine equations of circles for the layout of rings for the circus
determine equations of circles, lines and outer perimeter for a standard hockey rink
write the general equation for a circle in the form where is the centre of the circle.
write the mapping rule for the transformation of a circle where is the centre of the circle.

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:

understanding of transformations for other graphs
the standard form of the equation for a circle centred at the origin and radius r is