Systems of Equations Leading to Pythagorean Triples

Find Pythagorean Triples like the ancient Babylonians. The resource presents the concept of Pythagorean Triples. It provides the system of equations the Babylonians used to calculate Pythagorean Triples more than 4,000 years ago. Pupils then use the system to find some on their own in the 32nd part in a series of 33.

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CCSS: Designed
Instructional Ideas

  • Use the given system to generate Pythagorean Triples using the digits one through nine for the values of s and t
  • Incorporate the resource as an extension to lessons on the Pythagorean Theorem
Classroom Considerations

  • Pythagorean Triples are not part of the eighth grade standards
  • The class should know how to solve systems of equations algebraically
Pros

  • Problem set has scholars verify the generated triples are in fact Pythagorean Triples
  • Lesson shows that sometimes it is easier to go back to the system and solve for the other variable than use substitution to determine the other value
Cons

  • None