NY Next Generation Math NY-3.NF.3.b

Math3rd GradeExplain equivalence of fractions and compare fractions by reasoning about their size.

The Standard

Recognize and generate equivalent fractions. Explain why the fractions are equivalent.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students recognize and create equivalent fractions with denominators 2, 3, 4, 6, or 8. They explain equivalence with a visual model or shared number-line point.
What Mastery Looks Like: The student generates 1/2 = 2/4 = 4/8 and explains the equal lengths with fraction strips. The student can find a missing numerator or denominator from a model.
Common Misconceptions: Students may change only the numerator or denominator and assume the value stays equal. They may use a picture with unequal wholes as proof.
How to Assess It: Ask students to generate an equivalent fraction for 2/3 using sixths and justify it with a drawing or number line.

Lesson moves

Layer fraction strips with halves, thirds, fourths, sixths, and eighths to record matching lengths as equations.
Ask students to explain why doubling both parts of 1/3 creates an equal fraction rather than a larger amount.
Play equivalent-fraction dominoes using symbols, area models, and number-line locations.
Rename equal shares of same-size food trays cut into different permitted numbers of pieces.

Free download

$Preview of the NY-3.NF.3.b printable worksheet$

A ready-to-print activity worksheet aligned to NY-3.NF.3.b, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

Keep exploring

Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.