In this video—through footage of the calliope aboard the Belle of Louisville, a church pipe organ, and various instruments at a recording studio—students are introduced to the mathematical concept that the length of a musical pipe or a string has a proportional relationship with the sound it produces. In the accompanying activity, stringed instruments are used to demonstrate the concept presented in the video. This resource is part of the Math at the Core: Middle School Collection.
Although Proportions and Music in the Real World ("Belle of Louisville") and the Proportions and Music in Practice interactive ("Musical Scales") can be used independently, they are deliberately designed to complement each other.
The video introduces students to the relationship between music and mathematics, specifically how the length of a pipe or string is related to its frequency, as they learn about the calliope aboard the Belle of Louisville steamboat, a massive pipe organ, and a variety of instruments at a recording studio.
The matching interactive allows students to play a virtual pan pipe, measure the length of its pipes, record their frequency, and understand the inverse proportional relationship between these frequencies and the instrument’s corresponding pipe lengths.
Be sure to use the Proportions and Music in the Real World Activity that can be found in the Support Materials for Teachers section for a great activity that teaches the standard(s).