Standards Map

Mathematics > Course Model Mathematics I (Integrated Pathway) > Congruence
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Mathematics | Course : Model Mathematics I (Integrated Pathway)

Domain - Congruence

Cluster - Experiment with transformations in the plane.

[MI.G-CO.A.1] - Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

Resources:

    Predecessor Standards:

    • 4.MD.C.5
      Recognize angles as geometric shapes that are formed wherever two rays share a common endpoint, and understand concepts of angle measurement:
    • 4.MD.C.5.a
      An angle is measured with reference to a circle with its center at the common endpoint of the rays, by considering the fraction of the circular arc between the points where the two rays intersect the circle. An angle that turns through 1/360 of a circle is called a “one-degree angle,” and can be used to measure angles.
    • 4.MD.C.5.b
      An angle that turns through n one-degree angles is said to have an angle measure of n degrees.
    • 4.G.A.1
      Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures.

    Successor Standards:

    No Successor Standards found.

    Same Level Standards:

    • MI.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).
    • MI.G-CO.A.4
      Develop definitions of rotations, reflections, and translations in terms of angles, circles, perpendicular lines, parallel lines, and line segments.
    • MI.G-CO.D.12
      Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
    • MI.G-CO.D.13
      Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
    • MIII.F-TF.A.1
      Understand radian measure of an angle as the length of the arc on the unit circle subtended by the angle.