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.
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.
