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ORC Resource Number #5042
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Constant Dimensions
Best Practice
PROFESSIONAL COMMENTARY

This lesson integrates ideas from geometry, measurement, and algebra. Students measure the length and width of a rectangle using at least six different standard and nonstandard units of measure. Then they plot the (length, width) ordered pairs on the usual coordinate axes. Their challenge is to discover that the ordered pairs fall along a straight line whose slope represents the constant ratio of width to length regardless of the unit of measure. An activity sheet, discussion questions, suggestions for assessment, lesson extensions, and questions for teacher reflection are included. (sw)

CAREER APPLICATION

This best practice lesson can be useful to the mathematics teacher working with career-technical students because it combines concepts from geometry, measurement, and algebra that have real world applications. The lesson allows students to use a hand-on approach to measurement with both standard and non-standard units and to explore the meaning of slope and constant ratio as displayed on a graph. (jrs)

OHIO STANDARDS
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Mathematics Academic Content Standards
Measurement Standard
Patterns, Functions and Algebra Standard
NATIONAL STANDARDS
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Principles and Standards for School Mathematics
Algebra Standard
Measurement Standard
RESOURCE TYPE
Instructional Resource
PRACTICE LEVEL
Best Practice
STANDARDS ALIGNMENT
Grades 5–8
CAREER FIELDS
General Career Skills
TOPICS
Mathematics --
Algebra;
Linear functions;
Connections, applications;
FOUND IN
KEYWORDS
slope
Publisher: National Council of Teachers of Mathematics
Author: Kristen Chandler