Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
Subject Area: Mathematics
Grade: 912
Domain-Subdomain: Geometry: Modeling with Geometry
Cluster: Level 3: Strategic Thinking & Complex Reasoning
Cluster: Apply geometric concepts in modeling situations. (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


  • Item Type(s): This benchmark may be assessed using: EE item(s)

  • Assessment Limits :
    Items may require the student to use knowledge of other Geometry

    Items that use volume should not also assess G-GMD.1.3 or GMG.1.1. 

  • Calculator :


  • Clarification :
    Students will apply geometric methods to solve design problems. 
  • Stimulus Attributes :
    Items must be set in a real-world context.
  • Response Attributes :
    Items may require the student to interpret the results of a solution
    within the context of the modeling situation.

    Items may require the student to apply the basic modeling cycle.

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


  • Test Item #: Sample Item 1
  • Question:

    The trunk of a palm tree has cylindrical tubes that carry water. Each tube is 0.0003 meters wide. One of the tubes in a palm tree trunk is shown.

    A. Using the diagram as a model, approximately how many tubes could fit in a palm tree trunk with a diameter of 0.5 meters?

    B. The tubes in a palm tree are between 20 to 21 meters long. What is the approximate volume, in cubic meters, of one tube?

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