Pythagorean Theorem

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

8

Overview

Learn why the Pythagorean theorem works for finding side lengths of right triangles. This video focuses on modeling what the Pythagorean theorem actually means and why it will find the missing side of a right triangle. This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers.

Mathematics (2019) Grade(s): 8

MA19.8.26

Informally justify the Pythagorean Theorem and its converse.

UP:MA19.8.26

Vocabulary

  • Pythagorean Theorem
  • Converse

Knowledge

Students know:
  • the Pythagorean Theorem

Skills

Students are able to:
  • Use mathematical reasoning and vocabulary to verbally explain a proof of the Pythagorean Theorem and its converse.

Understanding

Students understand that:
  • theorems represent generalizations about geometric relationships that are used to solve problems.
Mathematics (2019) Grade(s): 8

MA19.8.28

Apply the Pythagorean Theorem to determine unknown side lengths of right triangles, including real-world applications.

UP:MA19.8.28

Vocabulary

  • Pythagorean Theorem

Knowledge

Students know:
  • The Pythagorean Theorem.
  • Appropriate labeling of a right triangle,leg and hypotenuse.

Skills

Students are able to:
  • Solve equations involving one variable and square root.
  • Represent real-world and mathematical contexts involving right triangles in a variety of formats(drawings, equations).
  • Justify solutions and solution paths using conceptual understandings and vocabulary related to the Pythagorean Theorem (right angle, hypotenuse).

Understanding

Students understand that:
  • the properties of right triangles can be used to solve problems.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
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