The Mathematics of Wallpaper

CONTENTS OF CURRICULUM UNIT 10.04.07

  1. Unit Guide
  1. Why am I writing this unit?
  2. Relations
  3. Functions
  4. The Vertical Line Test
  5. Inverse Relations and Inverse Functions
  6. Restricting the Domain to get Inverse Functions
  7. Applying Translations and Reflections
  8. Music and Mathematics
  9. A reflection in a pentagram
  10. The Unit Circle, the Symmetries of a Square and Dancing
  11. From words to action
  12. Planning for Algebra–II
  13. The second lesson of the curriculum unit
  14. Planning for Trigonometry
  15. References

Patterns, a Different Point of View

Luis Alberto Magallanes

Published September 2010

Tools for this Unit:

References

  1. Graphs of y = a sin x and y = a cos x

    http://www.intmath.com/Trigonometric–graphs/1_Graphs–sine–cosine–amplitude.php

  2. Graph of y = sin x

    http://www.tutorvista.com/content/math/trigonometry/trigonometry–xi/trigonometric–sine.php

  3. Graphs of the inverse Trig Functions07

    http://www.regentsprep.org/Regents/math/algtrig/ATT8/inversetrig.htm

  4. Inter active applet to relate the amplitude of y = a sin x for variations of a http://www.intmath.com/Trigonometric–graphs/1_Graphs–sine–cosine–amplitude.php
  5. The symmetries of a square

    http://www.brainmass.com/homework–help/math/group–theory/28933

  6. Math & Music

    http://motivate.maths.org/conferences/conf66/c66_symmetry.shtml

  7. Numerology: The Life & Death of Mozart as Reflected in His Numbers

    http://www.colettebaronreid.com/blog/featured/life–death–mozart–reflected–numbers/

  8. Symmetry as a Compositional Determinant

    http://solomonsmusic.net/diss3.htm

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