NY Next Generation Math NY-4.NF.3.d

Math4th GradeUnderstand a fraction a/b with a > 1 as a sum of fractions 1/b.

The Standard

Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students solve addition and subtraction stories involving fractions with like denominators that refer to the same whole. They use equations or visual fraction models to represent the situation.
What Mastery Looks Like: The student identifies whether a story joins, separates, or compares fractional amounts and chooses the matching operation. The answer keeps the common denominator and is interpreted in context.
Common Misconceptions: Students may add denominators or compare fractions that refer to different wholes. They may select an operation from a keyword without modeling the quantities.
How to Assess It: A tank is 7/8 full and 3/8 is used. Ask how much remains, using an equation and visual model tied to the same tank.

Lesson moves

Model same-whole fraction stories with strips, physically joining or removing equal-sized parts before writing equations.
Ask students how they know every fraction in a story refers to the same whole.
Play story-equation match using like-denominator situations, visual models, and labeled answers.
Track same-size portions used and remaining in a recipe, container, or measured length.

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