ALEX Lesson Plans
Thinkfinity Lesson Plans
Subject: Arts,Mathematics Title: Seeing Music
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Description: In this Illuminations lesson, students calculate terms of a geometric sequence to determine frequencies of the chromatic scale. They then compare sine waves to see and hear the trigonometry behind harmonious and dissonant note combinations. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Arts,Mathematics Title: Seeing Music, Hearing Waves
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Description: Using this reproducible activity sheet, from an Illuminations lesson, students calculate the frequencies of two octaves of a chromatic musical scale in standard pitch. They then experiment with different combinations of notes and related sine waves to observe why some combinations of musical notes sound harmonious and others have a dissonance. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Arts,Mathematics Title: Seeing Music, Hearing Waves: Selected Answers and Solutions
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Description: This reproducible teacher sheet, from an Illuminations lesson, provides selected solutions to an activity in which students calculate the frequencies of two octaves of a chromatic musical scale in standard pitch. Students then experiment with different combinations of notes and related sine waves to observe why some combinations of musical notes sound harmonious and others have a dissonance. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Arts,Mathematics Title: To Fret or Not to Fret
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Description: In this unit of two lessons, from Illuminations, students explore geometric sequences and exponential functions by considering the placement of frets on stringed instruments. They study the placement of frets on a fretted instrument then use their discoveries to place frets on a fretless instrument. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: To Fret or...
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Description: This reproducible activity, from an Illuminations lesson, features questions dealing with measuring distances on fretted stringed instruments. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Arts,Mathematics Title: Not to Fret
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Description: This reproducible activity sheet, from an Illuminations lesson, presents a line drawing of a guitar's neck showing the location of the nut and the 12th fret. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Arts,Mathematics Title: To Fret or Not to Fret
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Description: This reproducible worksheet, from an Illuminations lesson, presents a series of questions related to fretted instruments and geometric sequences. In the lesson, students compare geometric sequences with exponential functions. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Arts,Mathematics Title: Exploring Measurement, Sequences, and Curves with Stringed Instruments
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Description: In this lesson, one of a multipart unit from Illuminations, students measure lengths on stringed musical instruments. They discuss how the placement of frets on a fretted instrument is determined by a geometric sequence. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Arts,Mathematics Title: Fretting
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Description: In this lesson, one of a multipart unit from Illuminations, students use their discoveries from the first lesson to place frets on a fretless instrument. They then compare geometric sequences with exponential functions. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12

