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Subject: Arts,Mathematics
Title: Seeing Music      Add Bookmark
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      Add Bookmark
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      Add Bookmark
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      Add Bookmark
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...      Add Bookmark
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      Add Bookmark
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       Add Bookmark
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      Add Bookmark
Description: In this lesson, one of a multi-part 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      Add Bookmark
Description: In this lesson, one of a multi-part 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



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