# Mathematics » High School: Geometry » Modeling with Geometry

### Iowa Core Mathematics Support

Resources to support Iowa Core Mathematics

## Standards in this domain:

### Apply geometric concepts in modeling situations

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