Unpacked Content
Knowledge
Students know:
- The difference between volume and surface area.
- That volume is defined as the number of unit cubes needed to create or fill the 3-dimensional figure
Skills
Students are able to:
- find the volume of cones, cylinders, and spheres
- Show the relationship between the volume of a cone, a cylinder, and a sphere with the same radius.
Understanding
Students understand that:
- volume can be seen as layers of the base for a cylinder, but not for the cone or sphere.
- When radius and height are equal, one sphere will fill 2/3 of a cylinder and a cone will only take up 1/3 of a cylinder's volume. as a result this is reflected in their formulas for volume.
Vocabulary
- Radius
- Pi
- Volume
- Cylinder
- Cone
- Sphere
