5.MD.5.a Find the volume of a right Find the volume of a right rectangular prism with Edited to clarify the focus of this standard to use rectangular prism with whole-number side whole-number side edge lengths by packing it with unit edge length of a three dimensional prism when lengths by packing it with unit cubes, and show cubes, and show that the volume is the same as would finding volume. that the volume is the same as would be found be found by multiplying the edge lengths, equivalently by multiplying the edge lengths, equivalently by by multiplying the height by the area of the base. multiplying the height by the area of the base. Represent threefold whole-number products as Represent threefold whole-number products as volumes, e.g., to represent the associative property of volumes, e.g., to represent the associative multiplication. property of multiplication. 5.MD.5.b Apply the formula V = l w h and Apply the formula V = l w h and V = b B h (where B Edited to clarify the meaning of symbols used in V = b h for rectangular prisms to find volumes stands for the area of the base) for rectangular prisms formulas for volumes. of right rectangular prisms with whole-number to find volumes of right rectangular prisms with edge lengths in the context of solving edge lengths in the context of solving world and mathematical problems. world and mathematical problems. 5.G.4 Classify two-dimensional figures in a Classify two-dimensional figures in a hierarchy based Edited to include an example to clarify the hierarchy based on properties. on properties. For example, all rectangles are expectation for student learning and to retain the parallelograms, because they are all quadrilaterals with mathematical rigor. two pairs of opposite, parallel, equal-length sides.
5.MD.5.a Find the volume of a right rectangular prism with whole-number side lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Find the volume of a right rectangular prism with whole-number side edge lengths by packing it with unit cubes, and show that the volume is the same as would be found by multiplying the edge lengths, equivalently by multiplying the height by the area of the base. Represent threefold whole-number products as volumes, e.g., to represent the associative property of multiplication. Edited to clarify the focus of this standard to use edge length of a three dimensional prism when finding volume. 5.MD.5.b Apply the formula 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 and mathematical problems. Apply the formula V = l w h and V = b B h (where B stands for the area of the base) for rectangular prisms to find volumes of right rectangular prisms with edge lengths in the context of solving and mathematical problems. Edited to clarify the meaning of symbols used in formulas for volumes. 5.G.4 Classify two-dimensional figures in a hierarchy based on properties. Classify two-dimensional figures in a hierarchy based on properties. For example, all rectangles are parallelograms, because they are all quadrilaterals with two pairs of opposite, parallel, equal-length sides. Edited to include an example to clarify the expectation for student learning and to retain the mathematical rigor. world world
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