Georgia Standards of Excellence
GA.MGSE4.NF. Number and Operations – Fractions
Extend understanding of fraction equivalence and ordering.
MGSE4.NF.1. Explain why two or more fractions are equivalent a/b = (n × a)/(n × b) ex: 1/4 = (3 × 1)/(3 × 4) by using visual fraction models. Focus attention on how the number and size of the parts differ even though the fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.
MGSE4.NF.2. Compare two fractions with different numerators and different denominators, e.g., by using visual fraction models, 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.
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
MGSE4.NF.4. Apply and extend previous understandings of multiplication to multiply a fraction by a whole number e.g., by using a visual such as a number line or area model.
MGSE4.NF.4a. 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 × (1/4), recording the conclusion by the equation 5/4 = 5 × (1/4).