Arizona's College and Career Ready Standards
AZ.4.NF. Number and Operations – Fractions (NF)
4.NF.A. Extend understanding of fraction equivalence and ordering.
4.NF.A.1. Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to understand and generate equivalent fractions.
4.NF.A.2. Compare two fractions with different numerators and different denominators (e.g., by creating common denominators or numerators and by comparing to a benchmark fraction).
4.NF.A.2.a. Understand that comparisons are valid only when the two fractions refer to the same size whole.
4.NF.A.2.b. Record the results of comparisons with symbols >, =, or <, and justify the conclusions.
4.NF.B. Build fractions from unit fractions by applying and extending previous understanding of operations on whole numbers.
4.NF.B.4. Build fractions from unit fractions.
4.NF.B.4.a. Understand a fraction a/b as a multiple of a unit fraction 1/b. In general, a/b = a x 1/b.