All students from Grade 2 onwards learn a musical instrument. By looking at musical note values from a mathematical perspective children are gaining greater depth in their understanding, both of the notes in a music context, and the nature of fractions themselves:
Of course, the order of the notes is also of huge importance in music, so how many more possibilities will there be if we change the order of the examples above?
...And what if we include 1/16 notes?:
As a maths problem/inquiry, students are required to find all possibilities of the note combinations. Consequently, systematic recording is important and this problem is an excellent vehicle for modelling this with students. Investigating the possibilities is important from a musical perspestive and students will be able to build more variety into their compositions, especially when the order of notes is a consideration:
The following ITP, Fraction, is a good way of exploring the relationships between whole notes, half notes, quarter and eighth notes:
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