Fractions Equivalence and Comparison
4.NF.A.1 Explain why a fraction 𝑎/𝑏 is equivalent to a fraction OR 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,
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.
Why? In this unit, students build on their understanding of fraction equivalence developed in third grade to explore the procedure for finding equivalence. This unit also focuses on various methods for comparing fractions including finding equivalent fractions which is why these two standards are together. Students should understand that when comparing fractions, it is not always necessary to generate equivalent fractions. Other methods, such as comparing fractions to a benchmark, can be used to discuss relative sizes.
The justification of comparing or generating equivalent fractions using visual models is an emphasis of this unit.