Access Point #: MAFS.912.G-C.1.AP.3a (Archived Access Point)


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Construct the inscribed and circumscribed circles of a triangle.

Clarifications:

Essential Understandings

Concrete:

  • Identify a circle that would fit around a triangle using manipulatives.
  • Identify a circle that would fit inside a triangle using manipulatives.
  • Identify the circumcenter of the figure.
  • Identify the incenter of the figure.
  • Draw a circle that would fit around a triangle using manipulatives (compass).
  • Draw a circle that would fit inside a triangle using manipulatives (compass).
Representation:
  • Understand the following concepts and vocabulary: inscribed, circumscribed, circle, triangle, compass, circumcenter, construction, equidistant, vertex and incenter.
  • Identify inscribed circles using pictures or geometry software.
  • Identify circumscribed circles using pictures or geometry software.

Number: MAFS.912.G-C.1.AP.3a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Understand and apply theorems about circles. (Geometry - Additional 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-C.1.2: Identify and describe relationships among inscribed angles, radii, and chords. Include the relationship between central, inscribed, and circumscribed angles; inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.
MAFS.912.G-C.1.3: Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.



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