Classroom Resource

Measurement: Square Feet

Subject Area

Mathematics

Grade(s)

6, 7

Overview

To find area, you must figure out how many square units will fit inside the shape. Patricia Wilkins, a landscape designer, explains how she calculated square feet for a project in her yard.

Mathematics (2019) Grade(s): 6

MA19.6.26

Calculate the area of triangles, special quadrilaterals, and other polygons by composing and decomposing them into known shapes.

Unpacked Content

UP:MA19.6.26

Vocabulary

  • Right triangles
  • Special quadrilaterals
  • Polygons
  • Area
  • Decompose
  • Compose

Knowledge

Students know:
  • Appropriate units for measuring area: square inches, square units, square feet, etc..
  • Strategies for composing and decomposing shapes to find area.

Skills

Students are able to:
  • Communicate the relationship between models of area and the associated real-world mathematical problems.
  • Use logical reasoning to choose and apply strategies for finding area by composing and decomposing shapes.
  • Accurately compute area of rectangles using multiplication and the formula.

Understanding

Students understand that:
  • The area of a figure is measured by the number of same-size unit squares that exactly cover the interior space of the figure.
  • Shapes can be composed and decomposed into shapes with related properties,
  • Area is additive.
Mathematics (2019) Grade(s): 7

MA19.7.22

Solve real-world and mathematical problems involving area, volume, and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms.

Unpacked Content

UP:MA19.7.22

Vocabulary

  • Area
  • volume
  • Surface area
  • Two-dimensional figures
  • Three-dimensional solids
  • Triangles
  • quadrilaterals
  • polygons
  • Cubes
  • Right rectangular prisms

Knowledge

Students know:
  • that volume of any right prism is the product of the height and area of the base.
  • The volume relationship between pyramids and prisms with the same base and height.
  • The surface area of prisms and pyramids can be found using the areas of triangular and rectangular faces.

Skills

Students are able to:
  • find the area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
  • Use a net of a three-dimensional figure to determine the surface area.
  • Find the volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.

Understanding

Students understand that:
  • two-dimensional and three-dimensional figures can be decomposed into smaller shapes to find the area, surface area, and volume of those figures.
  • the area of the base of a prism multiplied by the height of the prism gives the volume of the prism.
  • the volume of a pyramid is 1/3 the volume of a prism with the same base.
Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.39

Solve real-world and mathematical problems involving area, volume, and surface area of two- and three- dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right rectangular prisms. [Grade 7, 22]

Unpacked Content

UP:MA19.7A.39

Vocabulary

  • Area
  • volume
  • Surface area
  • Two-dimensional figures
  • Three-dimensional solids
  • Triangles
  • quadrilaterals
  • polygons
  • Cubs
  • Right rectangular prisms

Knowledge

Students know:
  • That volume of any right prism is the product of the height and area of the base.
  • The volume relationship between pyramids and prisms with the same base and height.
  • The surface area of prisms and pyramids can be found using the areas of triangular and rectangular faces.

Skills

Students are able to:
  • Find the area and perimeter of two-dimensional objects composed of triangles, quadrilaterals, and polygons.
  • Use a net of a three-dimensional figure to determine the surface area.
  • Find the volume and surface area of pyramids, prisms, or three-dimensional objects composed of cubes, pyramids, and right prisms.

Understanding

Students understand that:
  • Two-dimensional and three-dimensional figures can be decomposed into smaller shapes to find the area, surface area, and volume of those figures.
  • The area of the base of a prism multiplied by the height of the prism gives the volume of the prism.
  • The volume of a pyramid is 1/3 the volume of a prism with the same base.
Link to Resource
https://aptv.pbslearningmedia.org/resource/ketae.geo.meas.sqft/measurement-squa…

CR Resource Type

Informational Material

Resource Provider

PBS
Accessibility
License

License Type

BY-NC-SA

Comments or Notes

This resource contains a background essay and discussion questions.

Approved Date

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