Exploring measurement, sequences, and curves with stringed instruments
http://illuminations.nctm.org/LessonDetail.aspx?ID=L594
A lesson plan for Grades 9–12 Geometry
About this resource
- Appropriate grades
- 9–12
- Subjects
- mathematics (applied mathematics, geometry)
- Provider
- National Council of Teachers of Mathematics
Legal
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Students will measure lengths on stringed musical instruments, and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence. Illuminations provides activity sheets, overhead templates, and detailed instructions for completing the lesson.
Students will:
- Determine the accuracy and precision of a measuring tool, and choose an appropriate measuring tool for an investigation.
- Discover the geometric sequence formed by the frets on a string instrument.
- Determine the ratio that occurs between frets.
North Carolina Curriculum Alignment
Mathematics (2004)
Grades 9–12 — Geometry
- Goal 2: Geometry and Measurement - The learner will use geometric and algebraic properties of figures to solve problems and write proofs.
- Objective 2.01: Use logic and deductive reasoning to draw conclusions and solve problems.
- Objective 2.04: Develop and apply properties of solids to solve problems.
