Access Point #: MAFS.912.G-SRT.3.AP.8a (Archived Access Point)


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Apply both trigonometric ratios and Pythagorean Theorem to solve application problems involving right triangles.

Clarifications:

Essential Understandings

Concrete:

  • Label parts of the triangle.
  • Identify the formula for the Pythagorean Theorem.
  • Identify what each variable in the Pythagorean Theorem represents.
  • Given an angle, identify the adjacent sides, opposite sides, and hypotenuse.
  • Given a problem, label a diagram with the given measurements.
Representation:
  • Use a scientific calculator to calculate using the Pythagorean Theorem.
  • Understand the following concepts and vocabulary: Pythagorean Theorem, length, right triangle, adjacent sides, opposite sides, hypotenuse, sine, cosine, tangent, secant, cosecant and cotangent.
  • Use a graphic organizer to find a missing side using the Pythagorean Theorem.
  • Enter information into the formula for the Pythagorean Theorem to solve problems.
  • Use appropriate tools to calculate using the Pythagorean Theorem and trigonometric ratios.
  • Use a scientific calculator to calculate the sine and cosine.
  • Given the trigonometric ratio or relationship, identify the parts of the triangle that relate.
  • Set up the fraction for the trigonometric ratio.

Number: MAFS.912.G-SRT.3.AP.8a 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.3.8: Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.



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