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The Shape of an Ellipse

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Title: The Shape of an Ellipse
Language: English
Authors: Foley, Gregory D.
Source: Mathematics Teacher. Nov 2011 105(4):274-279.
Availability: National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/
Peer Reviewed: Y
Physical Description: PDF
Page Count: 6
Publication Date: 2011
Document Type: Journal Articles
Reports - Descriptive
Education Level: High Schools
Higher Education
Descriptors: Geometric Concepts, Mathematics Instruction, Geometry, National Standards, Correlation, Astronomy, Comprehension, Equations (Mathematics), Vocabulary, Mathematics Achievement, Class Activities, College Students, High School Students
ISSN: 0025-5769
Abstract: Ellipses vary in shape from circular to nearly parabolic. An ellipse's eccentricity indicates the location of its foci, but its aspect ratio is a direct measure of its shape. This article takes a careful look at the shape of an ellipse and offers practical suggestions and specific activities to deepen students' understanding of the geometry of an ellipse. Using the Common Core (2010) practices and NCTM (2000, 2009) Standards, the activities link an ellipse's shape to algebra, data, and measurement and make connections between mathematics and astronomy. (Contains 8 figures and 1 table.)
Abstractor: ERIC
Number of References: 10
Entry Date: 2012
Access URL: https://www.nctm.org/publications/article.aspx?id=31283
Accession Number: EJ954787
Database: ERIC
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  Data: Ellipses vary in shape from circular to nearly parabolic. An ellipse's eccentricity indicates the location of its foci, but its aspect ratio is a direct measure of its shape. This article takes a careful look at the shape of an ellipse and offers practical suggestions and specific activities to deepen students' understanding of the geometry of an ellipse. Using the Common Core (2010) practices and NCTM (2000, 2009) Standards, the activities link an ellipse's shape to algebra, data, and measurement and make connections between mathematics and astronomy. (Contains 8 figures and 1 table.)
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