Lesson Plan: Equation of a Circle Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to find the equation of a circle using its center and a given point or the radius and vice versa.
Students will be able to
- derive and recall the standard form of the equation of a circle, , and the general form, ,
- write the equation of a circle in standard form and general form given its center and its radius, or a point on its circumference,
- find the center of a circle and its radius given its equation in standard form,
- find the center of a circle and its radius given its equation in expanded form (by completing the square),
- find the equation of a circle given a wider geometric context such as the equation of a line that contains its center and points on its circumference.
Students should already be familiar with
- the Pythagorean theorem,
- how to complete the square.
Students will not cover
- the vector form or parametric form of a circle.