MMA.MATH.7.C

Use geometric transformations, proportions, and periodic motion to describe mathematical patterns and structure in music.

Mathematical Models with Applications · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
geometric transformationsproportionsperiodic motionmathematical patternsstructuremusic
Skills
  • use (geometric transformations to describe mathematical patterns and structure in music) #dok2
  • use (proportions to describe mathematical patterns and structure in music) #dok2
  • use (periodic motion to describe mathematical patterns and structure in music) #dok2
  • identify (mathematical patterns in musical concepts) #dok1
  • analyze (how transformations, proportions, and motion relate to musical structure) #dok3
Learning Targets
  • I can recognize geometric transformations applied in musical patterns. #dok1
  • I can identify proportional relationships present in musical structures. #dok1
  • I can describe periodic motion as it appears in music. #dok1
  • I can use geometric transformations to explain mathematical patterns in music. #dok2
  • I can use proportions to represent relationships in musical structures. #dok2
  • I can use periodic motion to model rhythmic or melodic patterns in music. #dok2
  • I can analyze the connections between mathematical concepts and their representations in music. #dok3
  • I can justify how transformations, proportions, or periodic motion determine musical structure. #dok3
Big Ideas
  • Mathematical concepts such as transformations, proportions, and periodic motion can be used to understand and describe music.
  • The structure and patterns found in music often have mathematical foundations that can be explored through algebra and geometry.
Essential Questions
  • How can geometric transformations, proportions, and periodic motion be identified in music?
  • In what ways do mathematical patterns help us understand musical structure?
  • How are mathematical relationships such as symmetry and proportion reflected in musical patterns?
  • How can modeling with mathematics provide insight into the creation or analysis of music?
  • What is the significance of periodic motion in the patterns and rhythms we hear in music?