Access Point #: MAFS.912.G-C.2.AP.5bArchived Access Point

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Derive the fact that the length of the arc intercepted by an angle is proportional to the radius.
Clarifications:

Essential Understandings

Concrete:

  • Identify the formula for the circumference of a circle.
  • Identify the radius of a circle.
  • Construct a circle with a specified radius.
  • Use a protractor to measure angles.
  • Use geometry software to manipulate circles based on their radius and circumference.
Representation:
  • Set up a proportion using dimensions of the circle.
  • Use appropriate tools to calculate.
  • Convert degrees to radians and radians to degrees.
  • Use appropriate tools to calculate the arc length of a circle.
  • Calculate the circumference of a circle.
  • Understand the following concepts and vocabulary: circle, radian, degree, arc, arc length, circumference, diameter.
General Information
Number: MAFS.912.G-C.2.AP.5b
Category: Access Points
Date Adopted or Revised: 07/14
Cluster: Find arc lengths and areas of sectors of 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

This access point is an alternate version of the following benchmark(s).

Related Courses

This access point is part of these courses.
1200400: Foundational Skills in Mathematics 9-12
1206310: Geometry
1206320: Geometry Honors
1206315: Geometry for Credit Recovery
7912065: Access Geometry

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