Principles and Standards for School Mathematics
Use visualization, spatial reasoning, and geometric modeling to solve problems
Expectations (6 - 8)
use two-dimensional representations of three-dimensional objects to visualize and solve problems such as those involving surface area and volume;
Apply appropriate techniques, tools, and formulas to determine measurements.
Expectations (6 - 8)
develop and use formulas to determine the circumference of circles and the area of triangles, parallelograms, trapezoids, and circles and develop strategies to find the area of more-complex shapes;
solve problems involving scale factors, using ratio and proportion;
Expectations (9 - 12)
understand and use formulas for the area, surface area, and volume of geometric figures, including cones, spheres, and cylinders;