Learning Resources
Outcomes
In this lesson you will
- Rewrite equations of circles to isolate the y variable.
- Use the rearranged version to graph the circle using a graphing calculator.
- Explore transformations of circles using the graphing calculator.
By the end of this section you should 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:
- An understanding of square roots.
- How to rewrite an equation to isolate a given variable.
- How to use the graphing calculator to graph equations.
- How to obtain the appropriate window settings for graphs when using a graphing calculator.