Lesson Plan

Write the standard form (x - h)^2 + (y - k)^2 = r^2 and explain it as the distance formula with the distance held fixed at r

Read the center and the radius off an equation already in standard form, handling both the sign inversion on h and k and the square on r

Write the equation of a circle from a stated center and radius, and from indirect information -- a point on the circle, or the endpoints of a diameter

Convert an expanded general-form circle equation to standard form by completing the square in x and in y

Identify an equation as a circle by checking that both squared terms are present with equal, same-signed coefficients

G 609. Recognize special characteristics of parabolas and circles (e.g., the vertex of a parabola and the center or radius of a circle) G 605. Use the distance formula AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c G 701. Use relationships among angles, arcs, and distances in a circle