15 4.NF.B.3.A 4.NF.B.3a Math.4.NF.3a 4.NF.B.3.A MGSE4.NF.3a 4.NF.3.a 4.NF.B.3.a 4.NF.B.3.a 4.NF.3a 4.NF.3.a 4.NF.B.3.a 15.a 4.NF.B.3.B 4.NF.B.3b Math.4.NF.3b 4.NF.B.3.B MGSE4.NF.3b 4.NF.3.b 4.NF.3b 4.NF.3.b 4.NF.3.b 4.NF.B.3.b 4.NF.B.3.b CC.2.1.4.C.2 M04.A-F.2.1.2

Decompose Fractions 4th Grade

Alabama Course of Study Standards: 15
Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.
Arkansas Academic Standards: 4.NF.B.3.A
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole
Arizona - K-12 Academic Standards: 4.NF.B.3a Common Core State Standards: Math.4.NF.3a or 4.NF.B.3.A Georgia Standards of Excellence (GSE): MGSE4.NF.3a Kentucky Academic Standards (KAS): 4.NF.3.a Mississippi College- and Career-Readiness Standards: 4.NF.3a
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Louisiana Academic Standards: 4.NF.B.3.a
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Example: 3/4 = 1/4 + 1/4 + 1/4.
Massachusetts Curriculum Frameworks: 4.NF.B.3.a
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. (The whole can be a set of objects.)
North Carolina - Standard Course of Study: 4.NF.3.a
Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.
Tennessee Academic Standards: 4.NF.B.3.a
Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 21/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8), recording each decomposition by an equation. Justify decompositions by using a visual fraction model.
Alabama Course of Study Standards: 15.a
Decompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more than one way using area models, length models, and equations.
Arkansas Academic Standards: 4.NF.B.3.B
Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation and justify decompositions (e.g., by using a visual fraction model) (e.g., 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8)
Arizona - K-12 Academic Standards: 4.NF.B.3b
Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8+1/8; 3/8 = 2/8 + 1/8; 2 1/8 = 1 + 1 + 1/8 + or 2 1/8 = 8/8 + 8/8 + 1/8).
Common Core State Standards: Math.4.NF.3b or 4.NF.B.3.B Georgia Standards of Excellence (GSE): MGSE4.NF.3b Kentucky Academic Standards (KAS): 4.NF.3.b
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 = 8/8 + 8/8 + 1/8.
Mississippi College- and Career-Readiness Standards: 4.NF.3b
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 (including, but not limited to: concrete models, illustrations, tape diagram, number line, area model, etc.). Examples: 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
North Carolina - Standard Course of Study: 4.NF.3.b
Decompose a fraction into a sum of unit fractions and a sum of fractions with the same denominator in more than one way using area models, length models, and equations.
New York State Next Generation Learning Standards: 4.NF.3.b
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., Justify decompositions by using a visual fraction model such as, but not limited to: 3/8 = 1/8 + 1/8 + 1/8 3/8 = 1/8 + 2/8 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8
Tennessee Academic Standards: 4.NF.B.3.b
Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 21/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8), recording each decomposition by an equation. Justify decompositions by using a visual fraction model.
Wisconsin Academic Standards: 4.NF.B.3.b
Decompose a fraction into a sum of unit fractions or multiples of that unit fraction in more than one way, recording each decomposition by an equation. Justify decompositions with explanations, visual fraction models, or equations. For example: 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8.
Pennsylvania Core Standards: CC.2.1.4.C.2
Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.
Pennsylvania Core Standards: M04.A-F.2.1.2
Decompose a fraction or a mixed number into a sum of fractions with the same denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100), recording the decomposition by an equation. Justify decompositions (e.g., by using a visual fraction model)

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

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{5}{8}

is five parts of a whole divided into eight equal parts.

Since the numerator is five, five-eighths can be separated into five equal parts that are each

\frac{1}{8}

of the whole.

+

+

+

+

So,

\frac{5}{8}

is equal to the sum of five

\frac{1}{8}

's, or

\frac{1}{8}

\frac{1}{8}

\frac{1}{8}

\frac{1}{8}

\frac{1}{8}

The fraction

\frac{7}{5}

is seven parts of wholes divided into five equal parts.

Since the numerator is seven, seven-fifths can be separated into seven equal parts that are each

\frac{1}{5}

of the whole.

+

+

+

+

+

+

So,

\frac{7}{5}

is equal to the sum of seven

\frac{1}{5}

's, or

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

\frac{1}{5}

Decompose Fractions

Alabama Course of Study Standards: 15

Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.

Arkansas Academic Standards: 4.NF.B.3.A

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole

Arizona - K-12 Academic Standards: 4.NF.B.3a

Common Core State Standards: Math.4.NF.3a or 4.NF.B.3.A

Georgia Standards of Excellence (GSE): MGSE4.NF.3a

Kentucky Academic Standards (KAS): 4.NF.3.a

Mississippi College- and Career-Readiness Standards: 4.NF.3a

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Louisiana Academic Standards: 4.NF.B.3.a

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. Example: 3/4 = 1/4 + 1/4 + 1/4.

Massachusetts Curriculum Frameworks: 4.NF.B.3.a

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole. (The whole can be a set of objects.)

North Carolina - Standard Course of Study: 4.NF.3.a

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole.

Tennessee Academic Standards: 4.NF.B.3.a

Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 21/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8), recording each decomposition by an equation. Justify decompositions by using a visual fraction model.

Alabama Course of Study Standards: 15.a

Decompose a fraction as a sum of unit fractions and as a sum of fractions with the same denominator in more than one way using area models, length models, and equations.

Arkansas Academic Standards: 4.NF.B.3.B

Decompose a fraction into a sum of fractions with the same denominator in more than one way, recording each decomposition by an equation and justify decompositions (e.g., by using a visual fraction model) (e.g., 3/8 = 1/8 + 1/8 + 1/8 ; 3/8 = 1/8 + 2/8 ; 2 1/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8)

Arizona - K-12 Academic Standards: 4.NF.B.3b

Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8+1/8; 3/8 = 2/8 + 1/8; 2 1/8 = 1 + 1 + 1/8 + or 2 1/8 = 8/8 + 8/8 + 1/8).

Common Core State Standards: Math.4.NF.3b or 4.NF.B.3.B

Georgia Standards of Excellence (GSE): MGSE4.NF.3b

Kentucky Academic Standards (KAS): 4.NF.3.b

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 = 8/8 + 8/8 + 1/8.

Mississippi College- and Career-Readiness Standards: 4.NF.3b

North Carolina - Standard Course of Study: 4.NF.3.b

Decompose a fraction into a sum of unit fractions and a sum of fractions with the same denominator in more than one way using area models, length models, and equations.

New York State Next Generation Learning Standards: 4.NF.3.b

Tennessee Academic Standards: 4.NF.B.3.b

Decompose a fraction into a sum of fractions with the same denominator in more than one way (e.g., 3/8 = 1/8 + 1/8 + 1/8; 3/8 = 1/8 + 2/8; 21/8 = 1 + 1 + 1/8 = 8/8 + 8/8 + 1/8), recording each decomposition by an equation. Justify decompositions by using a visual fraction model.

Wisconsin Academic Standards: 4.NF.B.3.b

Pennsylvania Core Standards: CC.2.1.4.C.2

Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers.

Pennsylvania Core Standards: M04.A-F.2.1.2

Decompose a fraction or a mixed number into a sum of fractions with the same denominator (denominators limited to 2, 3, 4, 5, 6, 8, 10, 12, and 100), recording the decomposition by an equation. Justify decompositions (e.g., by using a visual fraction model)

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