Common Core: Number & Operations - Fractions
4.NF.B3a
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
October 1, 20184.NF.B3b
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation. Justify decompositions, e.g., by using a visual fraction model. Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 … Read More “4.NF.B3b”
October 1, 20184.NF.B3c
Add and subtract mixed numbers with like denominators, e.g., by replacing each mixed number with an equivalent fraction, and/or by using properties of operations and the relationship between addition and subtraction.
October 1, 20183.NF.A1
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.
October 1, 20183.NF.A2
Understand a fraction as a number on the number line; represent fractions on a number line diagram.
October 1, 20183.NF.A2a
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 locates the number 1/b on the number line.
October 1, 20183.NF.A2b
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 locates the number a/b on the number line.
October 1, 20183.NF.A3
Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.
October 1, 20183.NF.A3a
Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
October 1, 20183.NF.A3b
Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3. Explain why the fractions are equivalent, e.g., by using a visual fraction model.
October 1, 20183.NF.A3c
Express whole numbers as fractions, and recognize fractions that are equivalent to whole numbers. Examples: Express 3 in the form 3 = 3/1; recognize that 6/1 = 6; locate 4/4 and 1 at the same point of a number line diagram.
October 1, 2018