Access Point #: MAFS.912.G-SRT.3.AP.6a (Archived Access Point)


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Using a corresponding angle of similar right triangles, show that the relationships of the side ratios are the same, which leads to the definition of trigonometric ratios for acute angles.

Clarifications:

Essential Understandings

Concrete:

  • Given an angle, identify the adjacent sides, opposite side, and hypotenuse.
Representation:
  • Given trigonometric ratio, identify the parts of the triangle that relate.
  • Identify the appropriate ratio, given a formula sheet.
  • Understand the following concepts and vocabulary: adjacent sides, opposite side, hypotenuse, sine, cosine, tangent, secant, cosecant, cotangent and trigonometric ratio.
  • Set up the fraction for the trigonometric ratio.

Number: MAFS.912.G-SRT.3.AP.6a Category: Access Points
Date Adopted or Revised: 07/14 Cluster: Define trigonometric ratios and solve problems involving right triangles. (Geometry - Major 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-SRT.3.6: Understand that by similarity, side ratios in right triangles are properties of the angles in the triangle, leading to definitions of trigonometric ratios for acute angles.



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