NY Next Generation Math NY-3.NF.3

NY-3.NF.3 is a cluster heading. These are the individual standards under it.

• NY-3.NF.3.a

  Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

• NY-3.NF.3.b

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

• NY-3.NF.3.c

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

• NY-3.NF.3.d

  Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons rely on the two fractions referr...

01

What Students Need to Do

Students decide when fractions name the same amount and explain the equivalence with models or number lines. They express whole numbers as fractions and compare fractions sharing a numerator or denominator, using the same whole.

02

What Mastery Looks Like

A student shows that 3/4 and 6/8 are equivalent and explains why. The student writes 2 as 8/4 and correctly compares 3/8 with 5/8 using equal-sized wholes.

03

Common Misconceptions

Students may compare only the visible numerals or assume a larger denominator means a larger fraction. They may compare fractions from different-sized wholes or change a denominator without changing the numerator proportionally.

04

How to Assess It

Ask students to show whether 3/4 and 6/8 are equivalent, then compare 3/8 and 5/8 and justify both conclusions with one model.

1. 01

   Layer fraction strips for halves, fourths, and eighths to find pieces that end at the same point.

2. 02

   Ask students why 2/3 is greater than 2/6 even though both fractions have numerator 2.

3. 03

   Play fraction match with equivalent models, number-line points, whole numbers, and fraction notation.

4. 04

   Compare portions from equal-sized recipe pans and explain when two differently cut servings are equivalent.