NY Next Generation Math NY-6.G.2

Math6th GradeSolve real-world and mathematical problems involving area, surface area, and volume.

The Standard

Find volumes of right rectangular prisms with fractional edge lengths in the context of solving real-world and mathematical problems.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students find the volume of right rectangular prisms whose edge lengths include fractions. They multiply the three edge lengths and label the result in cubic units within a real-world or mathematical problem.
What Mastery Looks Like: A student calculates 1 1/2 × 2 × 3/4 as 2 1/4 cubic units. The student connects the product to the prism’s base area and height and explains what the volume means in context.
Common Misconceptions: Students may add the edge lengths, multiply fractions incorrectly, or report square units. They may also use an outside dimension that does not represent an interior edge of the prism.
How to Assess It: A storage box measures 1 1/2 feet by 2 feet by 3/4 foot inside. Ask students to find its volume and explain the cubic-foot unit.

Lesson moves

Build a paper prism from a net labeled 1/2, 3/2, and 2 feet, then calculate its volume.
Ask students why a prism with a fractional edge length can have a fractional number of cubic units.
Match prism-dimension cards to volume cards, checking each product with a second fraction strategy.
Compare the interior volumes of two fractional-dimension shipping boxes and choose which holds more packing material.

Free download

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