Lesson Plan

Derive the equation of a circle with center (h, k) and radius r using the Pythagorean Theorem and the distance formula

Write the equation of a circle in standard form: (x - h)^2 + (y - k)^2 = r^2

Identify the center and radius of a circle given its equation in standard form

Complete the square to convert a circle's equation from general form (expanded) to standard form

Find the center and radius of a circle given by an equation in general form

Explain why the equation (x - h)^2 + (y - k)^2 = r^2 represents all points at distance r from (h, k)

HSG.GPE.A.1

HSG.GPE.A.1: 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.