Crossing Every Bridge Exactly Once (aka Eulerian Paths)

🔓 This is an unlocked sample! Byrdseed.TV is open for new memberships through January 19th, 2024. Join today!
 
 
 
 
 

Objective

Students will try to find a path across this city which crosses each bridge exactly once.

Steps

  1. First, students will cross five bridges exactly once.
  2. Next, they'll try to cross seven bridges one time each. ⚠️ Note: This is impossible.
  3. They come up with three more layouts using seven bridges. At least one should work.
  4. Students count how many bridges come out of the cities. They're looking for patterns to determine whether a map will work.
  5. Finally, they try four other maps and learn about Euler and the Seven Bridges of Königsberg!

Resources

The registration window closes on January 19th, 2024

Send me some samples!

Or are you already ready to sign up?

Teachers love Byrdseed.TV!

"Love, love, love Byrdseed TV... I used many ideas and lessons this year. The kids loved the lessons and were engaged!"  ~  Tiffany in California

"I love Byrdseed.TV. It is a lifesaver"  ~  Lori in Washington

"I LOVE these videos. It's like having two teachers in my classroom."  ~  Kristi in Ohio

Related Lessons

See even more videos about: Math Curiosities