8.MATH.7.C

Use the Pythagorean Theorem and its converse to solve problems.

Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
Pythagorean Theoremconverseproblems
Skills
  • use (the Pythagorean Theorem) #dok1
  • use (the converse of the Pythagorean Theorem) #dok1
  • solve (problems using the Pythagorean Theorem) #dok2
  • solve (problems using the converse of the Pythagorean Theorem) #dok2
  • justify (the use of the Pythagorean Theorem or its converse in problem solving) #dok3
Learning Targets
  • I can identify the Pythagorean Theorem and its converse. #dok1
  • I can apply the Pythagorean Theorem to solve right triangle problems. #dok2
  • I can apply the converse of the Pythagorean Theorem to determine if a triangle is a right triangle. #dok2
  • I can solve real-world problems that require the Pythagorean Theorem or its converse. #dok2
  • I can justify why the Pythagorean Theorem or its converse is appropriate in a given situation. #dok3
Big Ideas
  • The Pythagorean Theorem and its converse help us solve geometric problems involving right triangles.
  • Understanding and applying the Pythagorean Theorem connects algebra and geometry to real-world problem solving.
Essential Questions
  • What is the Pythagorean Theorem and how can it be used to solve problems?
  • How can you determine if a triangle is a right triangle using the converse of the Pythagorean Theorem?
  • In what real-world situations might you use the Pythagorean Theorem or its converse?
  • How do you justify choosing the Pythagorean Theorem or its converse to solve a particular problem?
  • What is the relationship between the sides of a right triangle described by the Pythagorean Theorem?