- CCSS G-GMD Geometric Measurement and DimensionRotation of a Function 360º Around x-axis2sin(x) Rotated Around x-axisVolume of Cylinder & ConeVolume of Triangular Prism PracticeVolume of Prisms with Set Area of BaseVolume of a Hexagonal PrismVolume of Prism & Pyramid wt same base & heightCircumference of a CircleArea of a circleWeight of a Water Filled Soccer BallVolume of CylindersCavalieri’s Principle & Volume of a Sphere v2C0702Vol_DiskMethodVisualC0702 Volume Disk Method 3D VisualC0702X14aV2C0702X14bC0702X18C0702X28 Volume by Disk MethodC0702VolCirBaseXSecEqLatTri1C0702VolCirBaseXSecIsosRtTri1C0702VolCirBaseXSecSemiCir1C0702VolCirBaseXSecSq2Free Hand 2D Rotated About x-Axis CCSS G-GMD 4Cylinder Volume & Total Surface Area PracticeCone Volume & Total Surface Area PracticeSphere Volume & Total Surface Area PracticeCone Volume & Surface Area Scored PracticeCylinder Volume & Surface Area Scored PracticePyramid Volume Scored PracticeSphere Inside a Rectangular Prism
CCSS G-GMD Geometric Measurement and Dimension
- Author:
- Terry Lee Lindenmuth
CCSS Geometric Measurement and Dimension G-GMD
Explain volume formulas and use them to solve problems
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.
2. (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.★
Visualize relationships between two-dimensional and three- dimensional objects
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.