Midcontinent Research for Education and Learning
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Common Core Mathematics 912
Cluster
Translate between the geometric description and the equation for a conic section
Grade 912
G.GPE.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.
G.GPE.2.
Derive the equation of a parabola given a focus and directrix.
G.GPE.3.
(+) Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.