Access Point #: MAFS.912.G-CO.4.AP.12b (Archived Access Point)


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Copy an angle.

Clarifications:

Essential Understandings

Concrete:

  • When given an angle, use manipulatives (e.g., compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, tracing paper, patty paper, etc.) to create another angle of equal degrees or measure.

    Image of two equal angles.
  • Draw a reference line with your straightedge. Place a starting point on the reference line.
  • Place the point of the compass on the vertex of begin mathsize 12px style angle B A C end style (point A).
  • Stretch the compass to any length so long as it stays ON the angle.
  • Swing an arc with the pencil that crosses both sides of begin mathsize 12px style angle B A C end style.
  • Without changing the span of the compass, place the compass point on the starting point of the reference line and swing an arc that will intersect the reference line and go above the reference line. (Click Here)
  • Go back to begin mathsize 12px style angle B A C end style and measure the width (span) of the arc from where it crosses one side of the angle to where it crosses the other side of the angle.
  • With this width, place the compass point on the reference line where the new arc crosses the reference line and mark off this width on the new arc.
  • Connect this new intersection point to the starting point on the reference line.
Representation:
  • Understand the following concepts and vocabulary: angle, reference line, straightedge, arc, intersection point, rays, compass and vertex.
  • A shape formed by two lines or rays diverging from a common point..

  • º Formally: An angle is formed by the intersection of two rays with a common endpoint...
    º Informally: When two segments (or lines or rays) intersect, they form an angle..

    GradeMathHelp: Click Here

Number: MAFS.912.G-CO.4.AP.12b Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Make geometric constructions. (Geometry - Supporting Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.912.G-CO.4.12: 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.




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