Guitar Geometry



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Materials Required:

Graph paper, pencil, ruler, geometrical compass, basic calculator



A guitar to use for determining surface area

Safety:
Safety:


N/A

References:
Lospennato, L. (2010). Designing the electric guitar body: A guest post. guitarmakersonline.com. Retrived 6 January 2014 from http://guitarmakersonline.com/desiging-the-electric-guitar-body/
GuitarEngineer.com. (2005). Finite element model. (Chapter 3).

Standards:

Common Core State Standards for Mathematics aligned with this activity:


CCSS.Math.Content.HSG.MG.A.1 Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).
CCSS.Math.Content.HSG.MG.A.3 Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).
CCSS.Math.Content.HSG.GPE.B.7 Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.
CCSS.Math.Content.7.G.A.1 Solve problems involving scale drawings of geometric figures, including computing actual lengths and areas from a scale drawing and reproducing a scale drawing at a different scale.
CCSS.Math.Content.7.G.B.6 Solve real-world and mathematical problems involving surface area of two-dimensional objects composed of polygons and circles.

CCSS.Math.Practice.MP1 Make sense of problems and persevere in solving them.
CCSS.Math.Practice.MP4 Model with mathematics.
CCSS.Math.Practice.MP5 Use appropriate tools strategically.
CCSS.Math.Practice.MP6 Attend to precision.

Activity


To determine the total surface area of a guitar body, create a scale drawing of a guitar shape, divide the irregular guitar shape into polygons and circle sectors, then measure, calculate, and combine the individual areas.



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