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Vocabulary
trigonometric ratiostrigonometric functionstechnologyperiodic behaviorartmusicmodels
Skills
  • use (trigonometric ratios and functions available through technology to represent or solve problems) #dok2
  • model (periodic behavior in art) #dok3
  • model (periodic behavior in music) #dok3
  • interpret (applications of periodic functions in artistic and musical contexts) #dok3
Learning Targets
  • I can identify and describe trigonometric ratios and functions. #dok1
  • I can recognize examples of periodic behavior in art and music. #dok1
  • I can use technology to calculate values of trigonometric ratios. #dok2
  • I can use trigonometric functions to represent periodic patterns. #dok2
  • I can apply trigonometric ratios and functions to create models of periodic behavior found in art and music. #dok3
  • I can interpret and analyze how trigonometric models explain periodic patterns in creative works. #dok3
Big Ideas
  • Trigonometric ratios and functions can be used with technology to model periodic patterns found in art and music.
  • Understanding periodic behavior through mathematics helps explain repeating patterns in creative expressions.
Essential Questions
  • How do trigonometric functions model repeating patterns in art and music?
  • What is periodic behavior, and where can it be observed in artistic and musical contexts?
  • How can technology make it easier to apply trigonometric ratios to real-world problems in the arts?
  • In what ways do mathematics and the arts intersect when modeling periodic phenomena?
  • How can trigonometric models help us understand or create music and art?