


Functional
Melodies
Finding Mathematical
Relationships In Music
Summary
Introduction
Functional
Melodies is intended to be taught as a supplement to a primary mathematics
curriculum. Students use the activities to actively experience the
integration of music and mathematics by listening to and performing
music as they review mathematical concepts, solve problems and perform
calculations. For the most part, the activities are independent of
each other, have no musical prerequisites, and can be used in any
order.
Care
has been taken to make the materials friendly for all mathematics
teachers regardless of their musical background. The audio tracks
on the accompanying Functional Melodies CD allow you to conduct most
of the activities without the use of musical instruments; all that
you need is a CD player. There are, however, opportunities for you
and your students to use musical instruments in place of the CD, turning
your mathematics class into a music studio.
Contents
 Sound Shapes
Hearing Geometry As Function and Metaphor
 Measures
of Time, Part 1
Hearing,Writing,
and Computing Fractions of Time
 Measures
of Time, Part II
Tempo and Rate Problems Facing Musicians
 The
Multiples of Drummers
The Mathematics of Polyrhythms
 RecordProducer
Algebra
Using Algebra To Perform Rap Music
 Functional
Composer, First Movement
A Mathematical Solution to Writer's Block
 Functional
Composer, Second Movement
The Relentless Composer
 Name
That Function
Determining Function Transformations By Listening
 Inside
Out
Hearing Pictures As Music Through Polar Coordinates
 Scaling
the Scale, Part I
Natural Vibrations and Pythagorean Tuning
 Scaling
the Scale, Part II
A Solution to the Limitations of Pythagorean Tuning
Copyright
2000 Key Curriculum Press
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