Equations of Circles

50 Minute Class, Curriculum, Geometry

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

Classwork

 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

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