G-MG. Modeling with Geometry

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