NY Next Generation Math NY-5.MD.5

Math5th GradeGeometric measurement: understand concepts of volume and relate volume to multiplication and to addition.

Standard Cluster

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

New York State Next Generation Mathematics Learning Standards

Cluster contents

NY-5.MD.5 is a cluster heading. These are the individual standards under it.

Teacher's field guide

What Students Need to Do: Students connect volume to multiplication for one right rectangular prism and to addition for figures made from nonoverlapping prisms. They solve mathematical and real-world problems with whole-number edge lengths.
What Mastery Looks Like: A student finds a 6-by-4-by-3 prism's volume as 72 cubic units and explains the three factors. For a composite solid, the student finds each prism's volume and adds the parts once.
Common Misconceptions: Students may add edge lengths, report square units, or count only visible cubes. They may multiply dimensions from different component prisms or double-count a shared face as volume.
How to Assess It: Give students a rectangular-prism model and a two-prism composite solid with whole-number dimensions. Ask them to find both volumes and explain when multiplication and addition are used.

Lesson moves

Build right rectangular prisms with unit cubes, record edge-length products, and combine two nonoverlapping prisms to compare volumes.
Ask students why adding two prism volumes counts the entire composite solid without counting shared faces.
Play volume-method sort with single prisms, composite solids, multiplication equations, and addition equations.
Find the volume of a shipping box or a stepped storage structure made from two rectangular prisms.

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