In Filling and Wrapping students explore surface area and volume of objects, especially rectangular prisms, cylinders, cones, and spheres and learn to:
- Understand volume as a measure of filling an object and surface area as a measure of wrapping an object;
- Use flat patterns to visualize and calculate surface areas of prisms and cylinders;
- Develop formulas for the volumes of prisms, cylinders, cones and spheres directly and by comparison with known volumes;
- Understand that three-dimensional figures may have the same volume but quite different surface areas;
- Use surface area and volume to solve a variety of real-world problems;
- Understand how changes in one or more dimensions of a rectangular prism or cylinder affects the prism's volume;
- Extend students' understanding of similarity and scale factors to three-dimensional figures; and
- Understand the effect on surface area and volume of applying a scale factor to a rectangular prism.
