NY Next Generation Math NY-5.MD.4

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

The Standard

Measure volumes by counting unit cubes, using cubic cm, cubic in., cubic ft., and improvised units.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students measure a solid's volume by counting equal-sized unit cubes that fill it. They report the count with an appropriate cubic unit.
What Mastery Looks Like: The student counts cubes by layers without missing or double-counting any. The student labels the result in cubic centimeters, cubic inches, cubic feet, or the named improvised unit.
Common Misconceptions: Students may count only visible cubes or count square faces instead of cubes. They may report a volume with linear or square units.
How to Assess It: Give a drawing of a solid made from two complete layers of 12 cubes. Ask for its volume and the correct cubic unit.

Lesson moves

Build solids from centimeter cubes and have students mark off each counted layer on a recording sheet.
Ask students to compare two counting methods for the same cube solid and explain why the totals agree.
Play a hidden-cube challenge using layered drawings, with points for correct counts and cubic-unit labels.
Measure the volume of a small box by filling it with identical blocks and counting the blocks used.

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