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Modeling with Geometry

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Standards in this domain:

Apply geometric concepts in modeling situations

  • HSG-MG.A.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).
  • HSG-MG.A.2 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).
  • HSG-MG.A.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).

(IA) Use diagrams consisting of vertices and edges (vertex-edge graphs) to model and solve problems related to networks.

  • IA.8 Understand, analyze, evaluate, and apply vertex-edge graphs to model and solve problems related to paths, circuits, networks, and relationships among a finite number of elements, in real-world and abstract settings.
  • IA.9 Model and solve problems using at least two of the following fundamental graph topics and models: Euler paths and circuits, Hamilton paths and circuits, the traveling salesman problem (TSP), minimum spanning trees, critical paths, vertex coloring.
  • IA.10 Compare and contrast vertex-edge graph topics and models in terms of:
    • properties
    • algorithms
    • optimization
    • types of problems that can be solved

Printed from the Iowa Department of Education website on April 16, 2014 at 11:09pm.