G-MG: Modeling with Geometry

Modeling with Geometry

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Modeling with Geometry applies geometric shapes, measures, and properties to real-world contexts and design problems. Geometric shapes model physical objects, density connects mass and volume, and geometric methods inform design decisions. The work emphasizes using geometry as a practical tool for description and computation, not just proof.

G-MG.1Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).G-MG.2Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).G-MG.3Apply 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).
Example Problems
A solid cube of iron has edges long. Given that the density of iron is , what is the cube's mass?
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