NY Next Generation Math NY-5.MD.5.c
The Standard
- NY-5.MD
- Measurement and Data
- NY-5.MD.5
- Relate volume to the operations of multiplication and addition and solve real world and mathematical problems involving volume.
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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