Access Point #: MAFS.912.F-TF.2.AP.5aArchived Access Point

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Choose basic trigonometric functions to model cosine and sine graphs.
Clarifications:

Essential Understandings

Concrete:

  • Identify the graph of y= sinx.

    Graph of y = sinx
  • Identify the graph of y=cosx.

    Graph of y = cosx.
  • Use the unit circle to make a table of critical values for the sine or cosine graphs.

    Example table of critical values.
  • Match values from the unit circle table to values in the graph.
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Representation:
  • Understand that basic sine function intersects the y axis at (0,0).
  • Understand that the basic cosine function intersects the y axis at (0,1).
  • Understand that a basic sine or cosine function has an amplitude of 1 and a period of begin mathsize 12px style 2 straight pi end style.
  • Understand that a sine function can be written as y=Asin(Bx) where A= amplitude, B= change in period.
  • Understand that a cosine function can be written as y=Acos(Bx) where A= amplitude, B= change in period.
  • Understand the following concepts and vocabulary: amplitude, maximum, minimum, frequency, intercept, sine, cosine, period, midline, coordinate plane.
  • Use tools to graph sine and cosine functions (e.g., calculator, graphing software).
  • Understand that the x axis in a sine and cosine graph is in radians. For example:begin mathsize 12px style negative 2 straight pi comma space minus fraction numerator 3 straight pi over denominator 2 end fraction comma space minus straight pi comma space 0 comma space straight pi over 2 comma space straight pi comma space fraction numerator 3 straight pi over denominator 2 end fraction comma space 2 straight pi end style

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General Information
Number: MAFS.912.F-TF.2.AP.5a
Category: Access Points
Date Adopted or Revised: 06/14
Cluster: Model periodic phenomena with trigonometric functions. (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

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

Related Courses

This access point is part of these courses.
1200330: Algebra 2
1200340: Algebra 2 Honors
1202340: Precalculus Honors
1201310: Analysis of Functions
1211300: Trigonometry Honors
1298310: Advanced Topics in Mathematics (formerly 129830A)
1200335: Algebra 2 for Credit Recovery
1201315: Analysis of Functions Honors
7912095: Access Algebra 2

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