Pythagorean Theorem

Lesson Prep

Lesson Details

• Duration: 50 minutes

• Learning Goal: Understand that the Pythagorean Theorem only applies to right triangles. Also, develop understanding of Pythagorean Triples.

Prework

• Consider joining our free online workshop to explore 3 Act Math more in depth

• Watch the following videos to learn more about our retake policy and how we go over quizzes

  • Retake Policy

  • Going Over Quizzes (embedded above)

Answer Keys

• Link to Answer Keys

Classwork

• 3 Act Math - Fore Right

• Connection Handout / Notes

  • Some problems taken from New Visions

• Go over Concept Quiz

  • Students complete this analysis handout in order to prepare for a retake.

Finished Early?

• Legend of Zelda Pythagorean Theorem (Kurt Salisbury)

Standards

Common Core

• HSG.SRT.B.4 – Prove theorems about triangles. Theorems include: a line parallel to one side of a triangle divides the other two proportionally, and conversely; the Pythagorean Theorem proved using triangle similarity.

• HSG.SRT.C.8 – Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.

TEKS

• G.6(D) – verify theorems about the relationships in triangles, including proof of the Pythagorean Theorem, the sum of interior angles, base angles of isosceles triangles, midsegments, and medians, and apply these relationships to solve problems

• G.9(B) – apply the relationships in special right triangles 30°-60°-90° and 45°-45°-90° and the Pythagorean theorem, including Pythagorean triples, to solve problems