Tennessee Academic Standards
TN.4.NF. Number and Operations - Fractions (NF)
4.NF.A. Extend understanding of fraction equivalence and comparison.
4.NF.A.1. Explain why a fraction ݑ/ΰݑ is equivalent to a fraction (ϰݑ x ΰݑ) /(۰ݑ x ϰݑ) or (۰ݑ װݑ)/( ۰ݑ σ װݑ) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions. For example, 3/4 = (3 x 2)/(4 x 2) = 6/8.
4.NF.A.2. Compare two fractions with different numerators and different denominators by creating common denominators or common 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. Use the symbols >, =, or < to show the relationship and justify the conclusions.
4.NF.B. Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
4.NF.B.4. Apply and extend previous understandings of multiplication as repeated addition to multiply a whole number by a fraction.
4.NF.B.4.a. Understand a fraction ݑ/ΰݑ as a multiple of 1/ . For example, use a visual fraction model to represent 5/4 as the product 5 σ 1/4 , recording the conclusion by the equation 5/4 = 5 x 1/4.