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Geometric Measurement and Dimension


Standards in this domain:

Explain volume formulas and use them to solve problems

  • HSG-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.
  • HSG-GMD.A.2 (+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
  • HSG-GMD.A.3 Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.

Visualize relationships between two-dimensional and three-dimensional objects

  • IA.7 Plot points in three-dimensions.
  • HSG-GMD.A.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.

Printed from the Iowa Department of Education website on April 21, 2014 at 5:33am.