North Carolina Standard Course of Study
NC.3.NF. Number and Operations – Fractions
Understand fractions as numbers.
NC.3.NF.1. Interpret unit fractions with denominators of 2, 3, 4, 6, and 8 as quantities formed when a whole is partitioned into equal parts;
NC.3.NF.1.a. Explain that a unit fraction is one of those parts.
NC.3.NF.1.b. Represent and identify unit fractions using area and length models.
NC.3.NF.2. Interpret fractions with denominators of 2, 3, 4, 6, and 8 using area and length models.
NC.3.NF.2.a. Using an area model, explain that the numerator of a fraction represents the number of equal parts of the unit fraction.
NC.3.NF.3. Represent equivalent fractions with area and length models by:
NC.3.NF.3.b. Explaining that a fraction with the same numerator and denominator equals one whole.
NC.3.NF.3.c. Expressing whole numbers as fractions, and recognize fractions that are equivalent to whole numbers.
NC.3.NF.4. Compare two fractions with the same numerator or the same denominator by reasoning about their size, using area and length models, and using the >, <, and = symbols. Recognize that comparisons are valid only when the two fractions refer to the same whole with denominators: halves, fourths and eighths; thirds and sixths.