High School Geometry
Domain Modeling with Geometry
Cluster Apply geometric concepts in modeling situations

G-MG.A. Apply geometric concepts in modeling situations

  • Coins in a circular pattern
  • Eratosthenes and the circumference of the earth
  • How far is the horizon?
  • Paper Clip
  • Regular Tessellations of the plane
  • Running around a track I
  • Running around a track II

    G-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).

    • Global Positioning System II
    • Hexagonal Pattern of Beehives
    • How far is the horizon?
    • How many cells are in the human body?
    • How many leaves on a tree?
    • How many leaves on a tree? (Version 2)
    • How thick is a soda can? Variation I
    • How thick is a soda can? Variation II
    • Seven Circles III
    • Solar Eclipse
    • Tennis Balls in a Can
    • The Lighthouse Problem
    • Tilt of earth's axis and the four seasons
    • Toilet Roll
    • Use Cavalieri’s Principle to Compare Aquarium Volumes

    G-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).

    • Archimedes and the King's crown
    • A Ton of Snow
    • How many cells are in the human body?
    • How many leaves on a tree?
    • How many leaves on a tree? (Version 2)
    • How thick is a soda can? Variation I
    • How thick is a soda can? Variation II
    • Indiana Jones and the Golden Statue

    G-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).

    • Ice Cream Cone
    • Satellite

Typeset May 4, 2016 at 18:58:52. Licensed by Illustrative Mathematics under a
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.