MA19.7A.39

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

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.

Vocabulary

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

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