13 3.NF.A.1 Math.3.NF.1 3.NF.A.1 3.NR.4.1 3.NF.1 3.NF.1 3.NF.A.1 3.NF.A.1 14.a 3.NF.A.2a Math.3.NF.2a 3.NF.A.2.A 3.NR.4.3 3.NF.2.a 3.NF.2a 3.NF.2.a 3.NF.2.a 3.NF.A.2.a 3.NF.A.2.a 14.b 3.NF.A.2b Math.3.NF.2b 3.NF.A.2.B 3.NF.2.b 3.NF.2b 3.NF.2.b 3.NF.2.b 3.NF.A.2.b 3.NF.A.2.b CC.2.1.3.C.1 M03.A-F.1.1.1 M03.A-F.1.1.2 MA.3.FR.1.1 MA.3.FR.1.2 3.NR.4.1 3.NPV.6 3.NPV.7 3.NPV.8 3.NPV.9 3.NPV.10

Fractions 3rd Grade

Arkansas Academic Standards: 3.NPV.6
Identify fractions as parts of a whole and parts of a collection or set. Fractions include: denominators 2, 3, 4, 6, and 8
Arkansas Academic Standards: 3.NPV.7
Partition squares, regular hexagons, and equilateral triangles into parts with equal shares, explaining the shares of each part as a unit fraction of the whole. Fractions include: denominators 2, 3, 4, 6, and 8
Arkansas Academic Standards: 3.NPV.8
Identify and represent a unit fraction as a number on the number line. Fractions include: denominators 2, 3, 4, 6, and 8
Arkansas Academic Standards: 3.NPV.9
Identify and represent a non-unit fraction as a number on the number line, including fractions greater than one. Fractions include: denominators 2, 3, 4, 6, and 8
Arkansas Academic Standards: 3.NPV.10
Decompose and compose a non-unit fraction a/b as the quantity formed by the sum of unit fractions. Fractions include: denominators 2, 3, 4, 6, and 8

A fraction is part of a whole.

\frac{1}{3}

The top number is the numerator.
It represents the number of parts that are selected.

The bottom number is the denominator.
It represents the number of parts the whole is divided into.

A model can be used to represent a fraction.
The model can be a whole divided into equal parts, or a number line with equally-spaced tick marks between whole numbers.

The models below represent

\frac{1}{3}

. Each whole is divided into three equal parts, and one part is selected or shaded.

	grid model	fraction circle model
fraction strip model
number line

A whole must be divided into equal parts to represent a fraction. The model below does not represent

\frac{1}{3}

because it is not divided into equal parts.

A fraction with a numerator greater than one
can be written as the sum of unit fractions.

A unit fraction is a fraction that has 1 as its numerator.
A unit fraction is one part of a whole divided into equal parts.

The fraction

\frac{2}{3}

is two parts of a whole divided into three equal parts.

Two-thirds can be separated into two equal parts that are each

\frac{1}{3}

of the whole.

+

So, the sum

\frac{1}{3} + \frac{1}{3}

is the same as

\frac{2}{3}

The fraction

\frac{1}{6}

is one part of a whole divided into six equal parts.

Five parts that are each

\frac{1}{6}

of the same whole can be combined into one fraction.

+

+

+

+

=

So,

\frac{5}{6}

is the same as

\frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6} + \frac{1}{6}

Fractions

Arkansas Academic Standards: 3.NPV.6

Identify fractions as parts of a whole and parts of a collection or set.
Fractions include: denominators 2, 3, 4, 6, and 8

Arkansas Academic Standards: 3.NPV.7

Partition squares, regular hexagons, and equilateral triangles into parts with equal shares, explaining the shares of each part as a unit fraction of the whole.
Fractions include: denominators 2, 3, 4, 6, and 8

Arkansas Academic Standards: 3.NPV.8

Identify and represent a unit fraction as a number on the number line.
Fractions include: denominators 2, 3, 4, 6, and 8

Arkansas Academic Standards: 3.NPV.9

Identify and represent a non-unit fraction as a number on the number line, including fractions greater than one.
Fractions include: denominators 2, 3, 4, 6, and 8

Arkansas Academic Standards: 3.NPV.10

Decompose and compose a non-unit fraction a/b as the quantity formed by the sum of unit fractions.
Fractions include: denominators 2, 3, 4, 6, and 8

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