Standards Map

Mathematics > Course Model Advanced Quantitative Reasoning (Advanced Course) > Expressing Geometric Properties with Equations
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Mathematics | Course : Model Advanced Quantitative Reasoning (Advanced Course)

Domain - Expressing Geometric Properties with Equations

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

[AQR.G-GPE.A.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.

Resources:


  • Analytic geometry
    The branch of mathematics that uses functions and relations to study geometric phenomena, e.g., the description of ellipses and other conic sections in the coordinate plane by quadratic equations.

Predecessor Standards:

  • 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:

  • MI.A-REI.D.10
    Understand that the graph of an equation in two variables is the set of all its solutions plotted in the coordinate plane, often forming a curve (which could be a line). Show that any point on the graph of an equation in two variables is a solution to the equation.