New York State Learning Standards and Core Curriculum
NY-3.NF. Number & Operations – Fractions
Develop understanding of fractions as numbers.
NY-3.NF.1. Understand a unit fraction, 1/b, is the quantity formed by 1 part when a whole is partitioned into b equal parts. Understand a fraction a/b is the quantity formed by a parts of size 1/b.
NY-3.NF.3. Explain equivalence of fractions and compare fractions by reasoning about their size.
NY-3.NF.3d. Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons rely on the two fractions referring to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions.
Reason with shapes and their attributes.
NY-3.G.2. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole.