Equations of Circles

Lesson Prep

Lesson Details

• Duration: 50 minutes

• Learning Goal: Introduce equations of circles by exploring and practicing with Desmos. Then, apply findings with formal notes.

Prework

• Make sure you have Chromebooks or some other class set of technology.

Classwork

• Desmos Activity

• Notes

Standards

Common Core

• 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.

TEKS

• G.12(E) – show that the equation of a circle with center at the origin and radius r is x² + y² = r² and determine the equation for the graph of a circle with radius r and center (h, k), (x – h)² + (y – k)² = r²