Grade 3

Meaning of Fractions

Partitioned Shapes

Third graders divide shapes into equal parts and express the amount in fraction notation, expressing the total number of parts the shape is partitioned into as the denominator and the number of parts selected as the numerator.

3.NF.A.1 Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b parts; understand a fraction a/b as the quantity formed by a parts of size 1/b

Points on a number line

Third graders understand fractions as quantities on the number line in relationship to whole numbers.

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.
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.

Comparing Fractions

Third graders compare fractions by reasoning about their size.

The size of the whole matters!

Your Task:

Compare the fractions in one or both of the following sets with the suggested app. Explain your reasoning about their size with the annotation tools.

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.