North Carolina Standard Course of Study
NC.4.NF. Number and Operations – Fractions
Extend understanding of fractions.
NC.4.NF.2. Compare two fractions with different numerators and different denominators, using the denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100. 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 by:
NC.4.NF.2.a. Reasoning about their size and using area and length models.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
NC.4.NF.3. Understand and justify decompositions of fractions with denominators of 2, 3, 4, 5, 6, 8, 10, 12, and 100.
NC.4.NF.3.a. Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
NC.4.NF.3.c. Add and subtract fractions, including mixed numbers with like denominators, by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.