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Symmetry and Music:. The relationship between music and geometrical transformations By Alyssa Zerby. examples of various songs. “Twinkle Twinkle Little Star” “Row Row Row Your Boat” “When the HAWKS Go Marching In” “Happy Birthday”. Different kinds of Symmetry. Auditory Musical forms
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Symmetry and Music: The relationship between music and geometrical transformations By Alyssa Zerby
examples of various songs • “Twinkle Twinkle Little Star” • “Row Row Row Your Boat” • “When the HAWKS Go Marching In” • “Happy Birthday”
Different kinds of Symmetry • Auditory • Musical forms • Visual • Structure of notes or words • Represented in graphs/sketches of functions
Geometrical Transformations • Translation/Slide • Repeat • Transposition • Reflection/Flip • Glide Reflection • Rotation
Goals and Objectives • To introduce a new connection between mathematics and music: the song and geometry • For students to be able to identify (and understand) certain geometrical ideas in music
Assessment Strategies • Think of a new example of a song with some type of symmetry and/or geometrical transformation • Create own melody using symmetry and geometric tranformations
Lesson and Feedback • Use more audio and visual examples • Possible use of a music lab (activity involving pianos) • Creative and authentic assessments • Inability to read music did not affect the lesson