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]

Unpacked Content

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.

Vocabulary

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