Standards Map

Mathematics > Course Model Mathematics I (Integrated Pathway) > Expressing Geometric Properties with Equations
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Mathematics | Course : Model Mathematics I (Integrated Pathway)

Domain - Expressing Geometric Properties with Equations

Cluster - Use coordinates to prove simple geometric theorems algebraically.

[MI.G-GPE.B.5] - Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

Resources:

    Predecessor Standards:

    • 8.EE.B.6
      Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.
    • 8.EE.C.8.a
      Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
    • 8.EE.C.8.b
      Solve systems of two linear equations in two variables algebraically (using substitution and elimination strategies), and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.

    Successor Standards:

    No Successor Standards found.

    Same Level Standards:

    • MII.G-SRT.B.5
      Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.