Trina's Triangles

In this task students investigate and ultimately prove the validity of the method of generating Pythagorean Triples that involves the polynomial identity (x2+y2)2=(x2-y2)2+(2xy)2.
Resource ID#: 42438 Type: Problem-Solving Task
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General Information

Subject(s): Mathematics
Grade Level(s): 9, 10, 11, 12
Intended Audience: Educators educators, Students , Parents
Suggested Technology: Basic Calculators
Keywords: Trina's triangles, Trina, triangle, integer, squares, right triangle, polynomial identity, Pythagorean triples, Pythagorean theorem, converse, positive integers, distinct positive integers, squaring a binomial, cpalms, icpalms, illustrativemathematics.org, illustrative mathematics, tasks, mathematics, math, Florida standards, resource, free, freely available, problems-based learning, student activities
Instructional Component Type(s): Problem-Solving Task
Resource Collection: Illustrative Mathematics

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