Access Point #: MAFS.912.F-TF.1.AP.2b (Archived Access Point)


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Use the unit circle to label ordered pairs for cosine and sine.

Clarifications:

Essential Understandings

Concrete:

  • Identify the degree measures on the unit circle.
  • Identify the radian measures on the unit circle.
  • Match the measurement to the appropriate position on the unit circle.
  • Identify the ordered pairs on the unit circle.
  • Identify the cosine value on the unit circle (x value of the coordinate).
  • Identify the sine value on the unit circle (y value of the coordinate).

    Image of a unit circle.
Representation:
  • Understand the following concepts and vocabulary: radian, degree, unit circle, unit table, convert, sine, cosine, ordered pair, trigonometric functions.
  • Label the ordered pairs on the unit circle.
  • Label the cosine value on the unit circle (x value of the coordinate).
  • Label the sine value on the unit circle (y value of the coordinate).
  • Use the unit circle to find sine or cosine. For example: begin mathsize 12px style cos space left parenthesis 60 degree right parenthesis space equals space 1 divided by 2 space space o r space sin left parenthesis straight pi right parenthesis space equals space 0 end style
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Number: MAFS.912.F-TF.1.AP.2b Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Extend the domain of trigonometric functions using the unit circle. (Algebra 2 - 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.F-TF.1.2: Explain how the unit circle in the coordinate plane enables the extension of trigonometric functions to all real numbers, interpreted as radian measures of angles traversed counterclockwise around the unit circle.



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