![]() If students understand conceptually what the formulas mean, they are more likely to use them effectively and efficiently ( MTR.5.1). Having students explore how volume is calculated helps students see the patterns and develop a multiplication formula that will help them make sense of the two most common volume formulas, V = B × h (where B represents the area of the rectangular prism’s base) and V = l × w × h.From there, the third dimension (height) of the prism is calculated by the number of layers stacked atop one another. ![]() The bottom layer of the prism is packed with a number of rows with a number of cubes in each, like area of a rectangle is calculated with unit squares. ![]() Instruction should begin by connecting the measurement of a right rectangular prism to the calculation of a rectangle’s area.Instruction should make connections between the exploration expected of MA.5.GR.3.1 and what is happening mathematically when calculating volume ( MTR.2.1).For volume, side lengths are limited to whole numbers in grade 5, and problems extend to fraction and decimal side lengths in grade 6 ( MA.6.GR.2.3). Students have developed experience with area since grade 3 ( MA.3.GR.2.2). The purpose of this benchmark is for students to make connections between packing a right rectangular prism with unit cubes to determine its volume and developing and applying a multiplication formula to calculate it more efficiently.Connecting Benchmarks/Horizontal Alignment ![]()
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