NY Next Generation Math NY-5.MD.5.c
The Standard
Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students recognize volume as additive for solid figures composed of two nonoverlapping right rectangular prisms. They decompose the figure, find each volume, and add the parts in real-world problems.
What Mastery Looks Like
- A student splits a stepped solid into a 4-by-3-by-2 prism and a 2-by-3-by-2 prism. The student adds 24 and 12 to find 36 cubic units and marks the nonoverlapping parts.
Common Misconceptions
- Students may use one bounding prism that includes empty space or create overlapping parts. They may add edge lengths or omit one component volume.
How to Assess It
- Give students a dimensioned solid composed of two nonoverlapping rectangular prisms. Ask them to show a decomposition, calculate both volumes, and label the total in cubic units.
Lesson moves
Ways to Teach It
Join two rectangular-prism blocks without overlap, label their dimensions, and add their separate volumes.
Ask students how they know a decomposition neither leaves gaps nor counts any space twice.
Play composite-volume exchange by drawing two-prism solids with dimensions for partners to decompose and solve.
Find the volume of a stepped platform or storage unit made from two rectangular prisms.
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Printable NY-5.MD.5.c Worksheet
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Related Standards
- NY-5.MD.3
Recognize volume as an attribute of solid figures and understand concepts of volume measurement.
- NY-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 foun...
- NY-6.G.2
Find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.
- NY-3.MD.7.d
Recognize area as additive. Find areas of figures composed of non-overlapping rectangles, and apply this technique to solve real world problems.
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