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. 2016 Oct 21;11(10):e0165243. doi: 10.1371/journal.pone.0165243

Table 1. Relevant Common Core State Standards for Mathematics.

Standard Text
3.NF.A.1 “Understand a fraction 1b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction ab as the quantity formed by a parts of size 1b.”
3.NF.A.2 “Understand a fraction as a number on the number line; represent fractions on a number line diagram.”
3.NF.A.2.A “Represent a fraction 1b on a number line diagram by defining the interval from 0 to 1 as the whole and partitioning it into b equal parts. Recognize that each part has size 1b and that the endpoint of the part based at 0 located the number 1b on the number line.”
3.NF.A.2.B “Represent a fraction ab on a number line diagram by marking off a lengths 1b from 0. Recognize that the resulting interval has size ab and that its endpoint located the number ab on the number line.”
4.NF.A.2 “Compare two fractions with different numerators and denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as ½. 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, e.g., by using a visual fraction model.”