Topic: Geometric Measurement and Dimension |
Common Core Mathematics 9-12 |
| Cluster Explain volume formulas and use them to solve problems |
| | Grade 9-12 |
| | | G.GMD.1. | Give an informal argument for the formulas for the circumference of
a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use
dissection arguments, Cavalieri’s principle, and informal limit arguments. |
| | | G.GMD.2. | (+) Give an informal argument using Cavalieri’s principle for the
formulas for the volume of a sphere and other solid figures. |
| | | G.GMD.3. | Use volume formulas for cylinders, pyramids, cones, and spheres to
solve problems. |
| Cluster Visualize relationships between two-dimensional and three-dimensional objects |
| | Grade 9-12 |
| | | G.GMD.4. | Identify the shapes of two-dimensional cross-sections of threedimensional
objects, and identify three-dimensional objects generated
by rotations of two-dimensional objects. |