3.NF.A.1 |
“Understand a fraction 1∕b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a∕b as the quantity formed by a parts of size 1∕b.” |
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 1∕b 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 1∕b and that the endpoint of the part based at 0 located the number 1∕b on the number line.” |
3.NF.A.2.B |
“Represent a fraction a∕b on a number line diagram by marking off a lengths 1∕b from 0. Recognize that the resulting interval has size a∕b and that its endpoint located the number a∕b 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.” |