Give informal arguments for geometric formulas. a. Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments. b. Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieris principle.
Geometric Measurement and Dimension
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Give informal arguments for the formulas of the circumference of a circle and area of a circle using dissection arguments and informal limit arguments.
Give informal arguments for the formula of the volume of a cylinder, pyramid, and cone using Cavalieris principle.
Give an informal argument using Cavalieris principle for the formulas for the volume of a sphere and other solid figures.
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
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