4.NS.3

The student will use mathematical reasoning and justification to represent, compare, and order fractions (proper, improper, and mixed numbers with denominators 12 or less), with and without models.

4.NS.3.aCompare and order no more than four fractions (proper or improper), and/or mixed numbers, with like denominators by comparing the number of parts (numerators) using fractions with denominators of 12 or less (e.g., 1/5 < 3/5). Justify comparisons orally, in writing, or with a model.4.NS.3.bCompare and order no more than four fractions (proper or improper), and/or mixed numbers, with like numerators and unlike denominators by comparing the size of the parts using fractions with denominators of 12 or less (e.g., 3/8 < 3/5). Justify comparisons orally, in writing, or with a model.4.NS.3.cUse benchmarks (e.g., 0, 1/2, or 1) to compare and order no more than four fractions (proper or improper), and/or mixed numbers, with like and unlike denominators of 12 or less. Justify comparisons orally, in writing, or with a model.4.NS.3.dCompare two fractions (proper or improper) and/or mixed numbers using fractions with denominators of 12 or less, using the symbols >, <, and = (e.g., 2/3 > 1/7). Justify comparisons orally, in writing, or with a model.4.NS.3.eRepresent equivalent fractions with denominators of 12 or less, with and without models.4.NS.3.fCompose and decompose fractions (proper and improper) and/or mixed numbers with denominators of 12 or less, in multiple ways, with and without models.4.NS.3.gRepresent the division of two whole numbers as a fraction given a contextual situation and a model (e.g., 3/5 means the same as 3 divided by 5 or 3/5 represents the amount of muffin each of five children will receive when sharing three muffins equally).
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