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MAFS.912.G-SRT.3.8

Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Similarity, Right Triangles, & Trigonometry
Cluster: Level 2: Basic Application of Skills & Concepts
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.

Date Adopted or Revised: 02/14
Date of Last Rating: 02/14
Status: State Board Approved
Assessed: Yes

TEST ITEM SPECIFICATIONS

  • Item Type(s): This benchmark will be assessed using: EE item(s)
  • Also assesses:

    MAFS.912.G-SRT.3.6

    MAFS.912.G-SRT.3.7

  • Assessment Limits :
    Items will assess only sine, cosine, and tangent to determine the
    length of a side or an angle measure.
  • Calculator :

    Neutral

  • Clarification :
    Students will use trigonometric ratios and the Pythagorean theorem
    to solve right triangles in applied problems.

    Students will use similarity to explain the definition of trigonometric
    ratios for acute angles.

    Students will explain the relationship between sine and cosine of
    complementary angles.

    Students will use the relationship between sine and cosine of
    complementary angles.

  • Stimulus Attributes :
    For G-SRT.3.8, items must be set in a real-world context.

    For G-SRT.3.6 and G-SRT.3.7, items must be set in a mathematical
    context.

    For G-SRT.3.8, items may require the student to apply the basic
    modeling cycle.

  • Response Attributes :
    Items may require the student to find equivalent ratios.

    Items may require the student to use or choose the correct unit of
    measure.

    Multiple-choice options may be written as a trigonometric equation.

    Equation Editor items may require the student to use the inverse
    trigonometric function to write an expression.

SAMPLE TEST ITEMS (1)

  • Test Item #: Sample Item 1
  • Question:

    In the 1990s, engineers restored the building so that angle y changed from 5.5º to 3.99º.

    To the nearest hundredth of a meter, how much did the restoration change the height of the Leaning Tower of Pisa?

  • Difficulty: N/A
  • Type: EE: Equation Editor