ERIC Number: EJ1270526
Record Type: Journal
Publication Date: 2020
Pages: 9
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Available Date: N/A
Calculus of Pasta, Sausages, and Bagels: Can Their Surface Areas Be Derivatives of Their Volumes?
Sinitsky, Ilya
International Journal of Mathematical Education in Science and Technology, v51 n7 p1146-1154 2020
The surface area of a sphere as a function of radius, "r," is a derivative of the volume of the sphere, and a few other families of solids with this property are known. Sometimes, the derivative relationship can be reached with a tricky choice of size parameter "r." This paper presents an activity for students that discovers three types of solids that satisfy the derivative relationship between the volume and the surface area with a 'natural' choice of "r." It turns out that families of solids with a derivative relationship includes delicious sausages and bagels among other forms.
Descriptors: Mathematics Instruction, Mathematics Activities, Mathematical Concepts, Geometric Concepts, Geometry, High School Students, Secondary School Mathematics, Food, Measurement
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Secondary Education
Audience: Teachers
Language: English
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Authoring Institution: N/A
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Author Affiliations: N/A