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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