7adv.MATH.10.G

Use models and diagrams to explain the Pythagorean theorem.

Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
modelsdiagramsPythagorean theorem
Skills
  • use (models to explain the Pythagorean theorem) #dok2
  • use (diagrams to explain the Pythagorean theorem) #dok2
  • explain (the Pythagorean theorem using visual and symbolic representations) #dok2
  • analyze (relationships between the sides of a right triangle) #dok2
  • justify (the relationship among the sides in the Pythagorean theorem) #dok3
Learning Targets
  • I can use models to explain the relationship between the sides in the Pythagorean theorem. #dok2
  • I can use diagrams to show how the Pythagorean theorem works in right triangles. #dok2
  • I can explain the Pythagorean theorem using visual and symbolic representations. #dok2
  • I can justify why the Pythagorean theorem is true using visual representations. #dok3
Big Ideas
  • The Pythagorean theorem describes a fundamental relationship between the lengths of the sides in a right triangle.
  • Visual models and diagrams can be used to understand and justify why the Pythagorean theorem works.
Essential Questions
  • What is the Pythagorean theorem, and how does it relate to right triangles?
  • How can models or diagrams help explain the Pythagorean theorem?
  • Why does the relationship expressed by the Pythagorean theorem always hold true for right triangles?
  • In what real-world situations might you use the Pythagorean theorem, and how could visual representations help you solve problems?
  • How can you use models or diagrams to justify the formula for the Pythagorean theorem?