Utah Core Standards
UT.4.NF. NUMBER AND OPERATIONS—FRACTIONS (4.NF)
Extend understanding of equivalence and ordering of fractions. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers. Understand decimal notation to the hundredths and compare decimal fractions with denominators of 10 and 100. Denominators for fourth grade are limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100.
4.NF.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 themselves4 are the same size. Use this principle to recognize and generate equivalent fractions.
4.NF.2. Compare two fractions with different numerators and different denominators, for example, by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, for example, by using a visual fraction model.
4.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number.
4.NF.4.a. Understand a fraction a/b as a multiple of 1/b. For example, use a visual fraction model to represent 5/4 as the product 5 x (1/4), recording the conclusion by the equation 5/4 = 5 x (1/4).