November 11, 2016

In this lesson for the middle grades, learners calculate and compare volumes of cylinders and rectangular prisms, using bales of hay as the common unit. Students must use mathematics to explain why one shape of hay bale may be preferable economically to the other. But wait.....the round bales don't fit in a barn as well. Storing bales outside results in loss of product due to mold, which students must consider. The activity was developed to promote understanding of volume through real-life scenarios. The resource is aligned to NCTM standards and includes lesson objectives, teaching tips, and a printable student worksheet. This resource is part of a larger collection of lessons, labs, and activities developed by the National Council of Teachers of Mathematics (NCTM).

- Mathematics > General

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Make sense of problems and persevere in solving them.

Geometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Recognize volume as an attribute of solid figures and understand concepts of volume measurement.

A solid figure which can be packed without gaps or overlaps using n unit cubes is said to have a volume of n cubic units.

Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.

Apply the formulas V = l × w × h and V = b × h for rectangular prisms to find volumes of right rectangular prisms with whole-number edge lengths in the context of solving real world and mathematical problems.

Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Solve real-world and mathematical problems involving area, volume and surface area of two- and three-dimensional objects composed of triangles, quadrilaterals, polygons, cubes, and right prisms.

Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.

Know the formulas for the volumes of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.