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  K12 Academic Standards:
4.NF.B.3a
Common Core State Standards:
Math.4.NF.3a or 4.NF.B.3.A
Kentucky Academic Standards (KAS):
4.NF.3.a
Mississippi College and CareerReadiness Standards:
4.NF.3a

Understand addition and subtraction of fractions as joining and
separating parts referring to the same whole. 
Georgia Standards of Excellence (GSE):
4.NR.4.4

Represent whole numbers and fractions as the sum of unit fractions. 
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  K12 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
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. 
Georgia Standards of Excellence (GSE):
4.NR.4.5

Represent a fraction as a sum of fractions with the same denominator in more than one way, recording with an equation. 
Mississippi College and CareerReadiness 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.AF.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) 
Georgia Standards of Excellence (GSE):
4.NR.4.4

Represent whole numbers
and fractions as the sum of
unit fractions. 
Georgia Standards of Excellence (GSE):
4.NR.4.5

Represent a fraction as a
sum of fractions with the
same denominator in more
than one way, recording
with an equation. 
