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Symmetry and Music: The relationship between music and geometrical transformations By Alyssa Zerby.

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Presentation on theme: "Symmetry and Music: The relationship between music and geometrical transformations By Alyssa Zerby."— Presentation transcript:

1 Symmetry and Music: The relationship between music and geometrical transformations By Alyssa Zerby

2 examples of various songs “Twinkle Twinkle Little Star” “Row Row Row Your Boat” “When the HAWKS Go Marching In” “Happy Birthday”

3 Different kinds of Symmetry Auditory –Musical forms Visual –Structure of notes or words –Represented in graphs/sketches of functions

4 Geometrical Transformations Translation/Slide –Repeat –Transposition Reflection/Flip Glide Reflection Rotation

5 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

6 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

7 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


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