1. Music and Math in the Alps Hosted by Mozart and Euler

2. The Experience…
Musician Wolfgang Amadeus Mozart and Mathematician Leonhard Euler spent time in the Austrian and Swiss Alps where much of their inspiration comes from.
Our students will have a similar setting

3. Integrating Curriculum
Geometric Transformations (Rotations, Reflections, Translations) integrated with musical compositions and how their notes can be rotated, reflected and translated to make similar and different notes.

4. Student Itinerary
Begin at birthplace in Salzburg and pick up itinerary
1. Transport to Salon to listen to an early composition and exchange mathematical ideas, Pi, etc.
2. Transport to Vienna Woods to create timeline and answer corresponding mathematical questions.
3. Transport to University of Basel for lesson on Patterns and transformations
3. Transport to Austrian Alps to play rock climbing game and begin to ascend mountain. The more correct answers, the higher you will go.
4. Gather at the fountains to reflect, give feedback and participate in a badge voting/assessment session.

5. Discovering Pi
Students will listen to Mozart’s Music while discussing with Euler his approach to discovering pi (π) in a classic 1700’s style Salon

6. Creating a timeline in the Vienna Woods (Lesson 1)
Students will be given events- they will need to use resources to look up when the events took place and create their own timeline.
Resources to use to look up dates
Resources to use to make timeline

7. Pattern Lesson (lesson 2)
Students will transport to the University of Basel, where Euler studied, to complete the lesson
Students will have to identify certain patterns, rotations, reflections, translations and symmetry they see within certain sheet music.
Students will discuss how these geometric patterns will make the music sound the same or differently
Students will identify different translations that will make pitch and/or tempo different

8. Assessment on the Alps
Students will answer mathematical questions based on their timelines and geometry lesson
For Every Question they answer correctly, they will climb higher to the top of the mountain.

9. Questions to be asked (Assessment 1):
1.  How old was Mozart when he began composing in 1762?
2. A year later he went on a musical tour with his dad and sister.  How old was he?
3. If he moved to Vienna in1780, what was his age?
4.  Mozart married two years later.   What was his age?
5. Approximately how many compositions did he write per year since he began composing?

10. Ascent to Pinnacle (Assessment 2)
After reaching the top of the Alps, students will make their way to Pinnacle by answering geometry related questions
1. If notes are translated vertically, how will the pitch differ?
2. If notes are dilated within a measure, how will the tempo differ?
3. If notes are rotated 180 degrees, how will that effect the music?

11. Student Reflecting and Badge Voting
Students gather at the fountains for peer voting
The Badge categories:
Navigational skills of avatar
Collaborative/teamwork skills 
Leadership Abilities
Organizational skills

12. Rubric 20% Proper chronological order of timeline events
20% Accuracy of math questions answered
20%  Speed of math questions answered  
20% Timeline Completed 
10%  Follows rules of game accurately
10% Completes within required time

13. Why is a Virtual Space useful for this curriculum?
Students can experience the Alps and different venues in a more interactive way than they could in a classroom
They will be able to see how a Musician and a Mathematician lived in the same era and area
Helps join interdisciplinary areas into one common ground

14. The BIGGER Picture : Advantages for Adopting “Music and Math in the Alps”
Unique series of interdisciplinary lessons
Provides the right balance of work and play
Administrative support will help increase professional development of staff
Student scores will increase
School viewed as a STEM leader
Potential students will be attracted
Gives students an opportunity they may not have elsewhere
Allows students to interact with unfamiliar peers in a different way/setting
Graduates will be accepted to high school of their choice
Non-controversial cause for benefactors to support
Win-win situation for teachers and students