Slope and House Construction

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

8

Overview

Discover how math is required for quality construction when a Master Carpenter shares his experience and expertise. This video focuses on explaining slope as rise over run and shows how slope comes into play when building homes to take math out of the classroom and into real world problem solving. This resource is part of the Math at the Core: Middle School collection.

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
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