Mathematics II Geometric Measurement and Dimension

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Geometric Measurement and Dimension

Resources

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.
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3. Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems. tools-icon
5. Know that the effect of a scale factor k greater than zero on length, area, and volume is to multiply each by k, k2, and k3,
respectively; determine length, area and volume measures using scale factors.
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6. Verify experimentally that in a triangle, angles opposite longer sides are larger, sides opposite larger angles are longer,
and the sum of any two side lengths is greater than the remaining side length; apply these relationships to solve
real-world and mathematical problems.
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