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MAFS.8.G.2.7

Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

Subject Area: Mathematics
Grade: 8
Domain-Subdomain: Geometry
Cluster: Level 2: Basic Application of Skills & Concepts
Cluster: Understand and apply the Pythagorean Theorem. (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

Remarks/Examples

Examples of Opportunities for In-Depth Focus

The Pythagorean theorem is useful in practical problems, relates to grade-level work in irrational numbers and plays an important role mathematically in coordinate geometry in high school.

TEST ITEM SPECIFICATIONS

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

    MAFS.8.G.2.8 Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

  • Assessment Limits :

    If the triangle is part of a three-dimensional figure, a graphic of the three dimensional figure must be included. Points on the coordinate grid must be where grid lines intersect.

  • Calculator :

    Yes

  • Context :

    Allowable

SAMPLE TEST ITEMS (4)

  • Test Item #: Sample Item 1
  • Question:

    Triangle ABC is a right triangle. The lengths of the legs are 60 centimeters and 80 centimeters. 

    What is the length, in centimeters, of the hypotenuse?

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

  • Test Item #: Sample Item 2
  • Question:

    Triangle ABC is a right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. 

    What is the length, in centimeters, of the other leg?

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

  • Test Item #: Sample Item 3
  • Question:

    Two points are on the coordinate plane shown.

    What is the distance between A(-5,3) and B(-3,5)?

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

  • Test Item #: Sample Item 4
  • Question:

    A right square pyramid is shown.

    The base has a side length, b, of 30 centimeters (cm). The height, h, is 10 cm. 

    What is the length in centimeters, of l?

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