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G - Modeling with Geometry

This text resource illustrates the Standards Map for the Geometry Overview Modeling with Geometry domain in the Common Core State Standards.

Standards

  2. Common Core Mathematics: Geometry > MG

    Modeling with Geometry (MG)

  3. Common Core Mathematics: Geometry > MG > C.1

    Apply geometric concepts in modeling situations

  4. Common Core Mathematics: Geometry > MG > C.1 > S.1

    Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).

    Content Skills Learning Targets Big Ideas Essential Questions
    3 - Use (geometric shapes and their measures)
    3 - Use (properties of geometric shapes)
    2 - Describe (objects through modeling)
    3 - I can use geometric shapes and their measures to describe objects.
    3 - I can use properties of geometric shapes to describe objects.
    A. Objects in the environment can be described in terms of a geometric model using geometric shapes, measures, and properties.
    A.1 How can geometric shapes, measures, and properties be used to describe objects in the environment?
  5. Common Core Mathematics: Geometry > MG > C.1 > S.2

    Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).

    Content Skills Learning Targets Big Ideas Essential Questions
    Modeling
    3 - Apply (concepts of density based on area and volume)
    3 - I can apply the concepts of density based on area to model and calculate persons per square mile.
    3 - I can apply the concepts of density based on volume to model and calculate BTU’s per cubic foot.
    A. Real-world problems involving density can be modeled and solved by applying geometric formulas.
    A.1 How is the concept of density related to area formulas?
    A.2 How can area formulas be applied in a model to calculate persons per square mile?
    A.3 How is the concept of density related to volume formulas?
    A.4 How can volume formulas be applied in a model to calculate BTU’s per cubic foot?
  6. Common Core Mathematics: Geometry > MG > C.1 > S.3

    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).

    Content Skills Learning Targets Big Ideas Essential Questions
    4 - Apply (geometric methods)
    6 - Solve (design problems, including physical constraints, cost minimization, and typographic grid systems based on ratios)
    6 - I can apply geometric methods to solve design problems such as physical constraints, cost minimization and typographic systems based on ratios.
    A. Geometric methods are useful in solving design problems in real-world design applications.
    A.1 How can geometric methods be applied in solving real-world design problems?
    A.2 How can the physical constraints of a structure or object be satisfied using geometric methods?
    A.3 How can geometric methods be used to minimize cost in a problem?
    A.4 How is working with typographic grid systems based on ratios related to geometric methods?

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