Standards Map

Mathematics > Course Model Geometry (Traditional Pathway) > Expressing Geometric Properties with Equations
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Mathematics | Course : Model Geometry (Traditional Pathway)

Domain - Expressing Geometric Properties with Equations

Cluster - Translate between the geometric description and the equation for a conic section.

[GEO.G-GPE.A.2] - Derive the equation of a parabola given a focus and directrix.

Resources:


  • Directrix
    A parabola is the collection of all points in the plane that are the same distance from a fixed point, called the focus (F), as they are from a fixed line, called the directrix (D).

Predecessor Standards:

  • 8.G.A.1.a
    Lines are transformed to lines, and line segments to line segments of the same length.
  • 8.G.B.8
    Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • GEO.G-CO.A.2
    Represent transformations in the plane using, e.g., transparencies and geometry software; describe transformations as functions that take points in the plane as inputs and give other points as outputs. Compare transformations that preserve distance and angle to those that do not (e.g., translation versus horizontal stretch).
  • GEO.G-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.