Domain 3.NF, Number and Operations—Fractions

Cluster 3.NF.A, Develop understanding of fractions as numbers.

Major Cluster

Standard 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.

14 Lessons

44 Activities

Standard 3.NF.A.2

Understand a fraction as a number on the number line; represent fractions on a number line diagram.

10 Lessons

21 Activities

Standard 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 locates the number 1/b on the number line.

0 Lessons

0 Activities

Standard 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 locates the number a/b on the number line.

0 Lessons

0 Activities

Standard 3.NF.A.3

Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

1 Lesson

4 Activities

Standard 3.NF.A.3.A

Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.

7 Lessons

6 Activities

Standard 3.NF.A.3.B

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.

4 Lessons

13 Activities

Standard 3.NF.A.3.C

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.

7 Lessons

18 Activities

Standard 3.NF.A.3.D

Compare two fractions with the same numerator or the same denominator by reasoning about their size. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with the symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.

9 Lessons

25 Activities