Understanding the Pythagorean Theorem

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

8

Overview

In this video, learn how to use the Pythagorean Theorem to find the distance between two points on a coordinate grid. In the accompanying classroom activity, students apply what they learned in the video as they solve similar problems and discuss solution strategies. To get the most from this lesson, students should be comfortable using the Pythagorean Theorem to find an unknown side of a right triangle, graphing points on the coordinate plane, and finding the distance between points with the same x- or y- values.

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.
Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.50

Apply the Pythagorean Theorem to determine unknown side lengths of right triangles, including real-world applications. [Grade 8, 28]

UP:MA19.8A.50

Vocabulary

  • Pythagorean Theorem
  • Right triangle
  • hypotenuse
  • leg

Knowledge

Students know:
  • 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 (e.g., drawings, equations).
  • Justify solutions and solution paths using conceptual understandings and vocabulary related to the Pythagorean Theorem (e.g., 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
ALSDE LOGO