Created on: April 29, 2015

Website Address: https://library.curriki.org/oer/Teacher-Resources-89503

TABLE OF CONTENTS

- Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.
- Students write the equation for a circle in center-radius form
- Students complete the square in order to write the equation of a circle in center-radius form
- Writing and Graphing the Equations of Circles
- Equation of a Circle, Standard Form (Center anywhere)

Teacher Resources

Exercises from Illustrative MathematicsA set of 2 exercises, commentary, and solutions

Students write the equation for a circle in center-radius form, (x - a)^2 + (y - b)^2 = r^2 using the Pythagorean theorem or the distance formula.Students write the equation of a circle given the center and radius. Students identify the center and radius of a circle given the equation.Teacher and Student versions of full lesson from engageNY

Students complete the square in order to write the equation of a circle in center-radius form.Students recognize when a quadratic in x and y is the equation for a circle.Teacher and Student versions of full lesson from engageNY

Writing and Graphing the Equations of CirclesLearning Objectives:Graph a circle.Find the equation of a circle in the coordinate plane.Find the radius and center, given the equation of a circle and vice versa.Find the equation of a circle, given the center and a point on the circle.Lesson, videos, exercises, and text from CK-12. Additional resources available at this site.

An excellent tutorial from mathopenref.com