Applications of Geometry and Geometric Thinking - Day 2

Double Bubble Problem

Joel Hass solves the 2,000-year old Double Bubble Problem

Double bubble is no trouble

Blowing out the bubble reputation

Cannonballs and Honeycomb: Kelvin

Homework 1 Solutions

• Collect and go over homework 1 via student responses. Then go over homework 1 via the following:
  
  Homework 1 Problem 1
• Decomposition Models
• Volume of a Pyramid and a Cone
• Sheri finds the Volume of a Pyramid
• Volume of a Triangular Prism
  
  Homework 1 Problem 2
• Sliding a Ribbon Wrapped around a Rectangle
• Sliding a Ribbon Wrapped around a Box
• Introduction to Sketchpad as a geometric model
• Billiard Ball Problem on Sketchpad (HD / Applications/ Sketchpad / Samples / Sketches / Fun / Billiards.gsp)
  
  Homework 1 Problem 3
• Village Problem  
• Dynamic Solution on Sketchpad
• Why are the perpendicular bisectors concurrent?
• Mathematics Across Culture

Comparison of Analytic, Axiomatic, Physical and Sketchpad Models of Geometries

Euclidean
Euclid's Elements, Book 1
Euclidean Triangles
Sketchpad for Little Ones


Taxi-Cab
Taxicab Geometry
Taxi-Cab Treasure Hunt

Spherical

Hyperbolic
Poincare Disk Model

T-Shirt Activity

Geometric Modeling in Biology, Medicine and Geography

• DNA
• Shape of our Earth
• Road Map for the Mind
• Shape of the Universe
• Mountains

Geometric Modeling

Unit Plan for Geometric Modeling
MADEIRA HIGH SCHOOL GEOMETRY