Activity Database

Search
Activity Authors
Activity Circles
Click To Sort By
Grade
Audience
  • 1st - 2nd (6)
  • 3rd - 5th (8)
  • 6th - 8th (8)
  • 9th - 12th (4)
  • College Level (1)
Topics
Topics
  • Algebra / Arithmetic (3)
  • Combinatorics (3)
  • Geometry (2)
  • Mathematical Games (5)
  • Mathematical Modeling (3)
  • Number Theory (1)
  • Problem Solving / General (7)
  • Probability and Statistics (1)
Supporting Materials
Supporting Materials
  • Facilitator Guides (8)
  • Handouts (6)
  • Photos & Videos (7)
  • References (5)
  • Virtual Tools (4)
Session Styles
Session Styles
  • Integrates Technology (4)
  • Manipulatives (7)
  • Multiple Representations (4)
  • Problem Posing (6)
  • Problem Sets (5)
  • Try a Smaller Problem (3)
  • Work Backwards (3)
Mathematical Practices
Mathematical Practices
  • MP1 - Make sense of problems and persevere in solving them. (7)
  • MP2 - Reason abstractly and quantitatively. (4)
  • MP3 - Construct viable arguments and critique others' reasoning. (5)
  • MP4 - Model with mathematics. (4)
  • MP5 - Use appropriate tools strategically. (3)
  • MP7 - Look for and make use of structure. (5)
  • MP8 - Look for and express regularity in repeated reasoning. (6)

The Roommate Game: An Exploration of Stable Matchings

By:


College students need to be matched with a roommate. They each make a list of who they prefer to room with. Given the preference lists for each individual, can we find a matching that is stable? That is, would any pair ask to change rooms because they would rather room together than with their current roommates? Explorations lead to new questions or new avenues to investigate using various mathematical methods including, but not limited to, combinatorics, graph theory, or matrices.