The math / music concepts explored include:

• Fractions / rhythm
• Sets and intersecting sets / keys and related keys
• The relationship between ratios, fractions, and decimals / frequency and interval
• Roots and powers / equal temperament tuning

Uses for these lessons:

• For math students 3rd-5th grade who may be struggling with the connections between the concepts of multiplication, division, and fractions, Fractions, Multiples, Beats, and Measures can engage audial and hands-on learners. It is probably best to use this activity in addition to any visual aids (for your visual learners) and other hands-on demonstrations you have available.
• For math students 3rd-8th grade who are studying sets, Keys and Scales are Sets is not only a hands-on demonstration of a basic math concept, but also a simple explanation of a very basic music concept. Again, this activity will be strongest if you use it alongside any other visual and hands-on demonstrations that you have available.
• The scale set activity may also help music students who are just beginning to study keys and scales. It is a hands-on demonstration of keys and what makes one key more or less related to another key.
• Fractions, Multiples, Beats, and Measures may also be helpful to beginning music students who are being introduced to rhythm and meter.
• Music students, 7th grade and up, who want to understand the relationship between interval and frequency but need to review ratios, fractions, and decimals should look at Musical Interval, Frequency, and Ratio. If they need a review of roots and powers in order to study frequency relationships in equal temperament, they should look at Powers, Roots, and Equal Temperament.
• Any homeschool or classroom that emphasizes cross-discipline lessons may be interested in all of these activities. Other lessons that may be of interest are Sound and Music, Sound, Physics, and Music, Duration: Notes and Rests, Rhythm, Scales that aren't Major or Minor, and Conducting

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