Applying the Pythagorean Theorem

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

8

Overview

In this video, learn how using the Pythagorean Theorem can help people solve real-world problems involving distances. In the accompanying classroom activity, students develop their problem-solving, spatial reasoning, and geometry skills by putting the Pythagorean Theorem to use. After a brief discussion about how to use the theorem to find the distance between two points on a coordinate grid, students partner up and play a game in which they generate (and then calculate the distance between) two or more points on the grid. As the game increases in complexity, students begin working in all quadrants and begin identifying multiple triangles that they can use to determine the distance between points.

Mathematics (2019) Grade(s): 8

MA19.8.27

Apply the Pythagorean Theorem to find the distance between two points in a coordinate plane.

UP:MA19.8.27

Vocabulary

  • Pythagorean Theorem

Knowledge

Students know:
  • The Pythagorean Theorem.
  • The operations and labeling within a coordinate system.

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 on coordinate planes, 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.
  • Theorems represent general relationships that are true for all shapes that fit certain criteria.
Mathematics (2019) Grade(s): 8 - Grade 8 Accelerated

MA19.8A.49

Apply the Pythagorean Theorem to find the distance between two points in a coordinate plane. [Grade 8, 27]

UP:MA19.8A.49

Vocabulary

  • Pythagorean Theorem
  • Right triangle
  • hypotenuse
  • leg
  • Coordinate plane
  • ordered pair

Knowledge

Students know:
  • Pythagorean Theorem.
  • Operations and labeling within a coordinate system.

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 on coordinate planes, 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,
  • Theorems represent general relationships that are true for all shapes that fit certain criteria.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
ALSDE LOGO