Learners will use visualization, spatial reasoning, geometric modeling, and measurement to investigate the characteristics of figures, perform transformations, and construct logical arguments.

MAT-10.GM.32 Calculate the surface area for prisms, cylinders, pyramids, cones, and spheres to solve problems.

MAT-05.GM.M.03 Recognize volume as an attribute of rectangular prisms and measure volume by counting unit cubes.

MAT-06.GM.AV.02 Describe the concept of volume of a right rectangular prism. Apply given formulas to calculate the volume of right rectangular prisms, including fractional edge lengths, including authentic problems.

MAT-07.GM.AV.03 Solve problems involving the volume of prisms and composite solids, including authentic problems.

MAT-08.GM.AV.01 Apply given formulas to solve problems involving the volume of cones, cylinders, and spheres, including authentic problems.

MAT-10.GM.32Calculate the surface area for prisms, cylinders, pyramids, cones, and spheres to solve problems.

MAT-10.GM.33 Know and apply volume formulas for prisms, cylinders, pyramids, cones, and spheres to solve problems.

MAT-10.GM.35 Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).