Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.38

Use the mathematical modeling cycle involving geometric methods to solve design problems.

COS Examples

Examples: Design an object or structure to satisfy physical constraints or minimize cost; work with typographic grid systems based on ratios; apply concepts of density based on area and volume.

Unpacked Content

Knowledge

Students know:
  • Properties of geometric shapes.
  • Characteristics of a mathematical model.
  • How to apply the Mathematical Modeling Cycle to solve design problems.

Skills

Students are able to:
  • Accurately model and solve a design problem.
  • Justify how their model is an accurate representation of the given situation.

Understanding

Students understand that:
  • Design problems may be modeled with geometric methods.
  • Geometric models may have physical constraints.
  • Models represent the mathematical core of a situation without extraneous information, for the benefit in a problem solving situation.

Vocabulary

  • Geometric methods
  • Design problems
  • Typographic grid system
  • Density
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