G-GMD. Geometric Measure and Dimension

• Volume Estimation

G-GMD.A. Explain volume formulas and use them to solve problems

G-GMD.A.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.

• Area of a circle
• Circumference of a circle
• Volume formulas for cylinders and prisms
• Volume of a Special Pyramid

G-GMD.A.2. Give an informal argument using Cavalieri's principle for the formulas for the volume of a sphere and other solid figures.

• Use Cavalieri’s Principle to Compare Aquarium Volumes

G-GMD.A.3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

• Centerpiece
• Doctor's Appointment
• The Great Egyptian Pyramids
• Volume Estimation

G-GMD.B. Visualize relationships between two-dimensional and three-dimensional objects

G-GMD.B.4. Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.

• Global Positioning System I
• Global Positioning System II
• Tennis Balls in a Can