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

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

The Standard

Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students write whole numbers as fractions and identify fractions equal to whole numbers. They use equal-sized parts to explain why the numerator contains complete wholes.
What Mastery Looks Like: The student writes 3 as 3/1, 6/2, or 12/4 and explains each representation. The student recognizes 8/4 as 2 using a model or number line.
Common Misconceptions: Students may think every fraction is less than one. They may treat the denominator as the number of wholes rather than the number of equal parts per whole.
How to Assess It: Ask students to place 8/4 on a number line and write two fractions equal to 3. Require a brief explanation for one answer.

Lesson moves

Partition three paper strips into fourths and label the complete collection as 12/4 and 3.
Ask students why 10/5 names the same amount as 2.
Play a matching game with whole-number cards, fraction cards, and fraction models.
Represent complete pizzas cut into equal slices and write the total as both a fraction and a whole number.

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