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
