Real World Fractions
5th Grade


Alabama Course of Study Standards:
9

Model and solve realword problems involving addition and subtraction of fractions referring to the same
whole, including cases of unlike denominators, using visual fraction models or equations to represent the
problem. Use benchmark fractions and number sense of fractions to estimate mentally, and assess the
reasonableness of answers. Example: Recognize an incorrect result 2/5 + 1/2 = 3/7 by observing that 3/7 < 1/2. 
Arizona Academic Standards:
5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators by using a variety of representations, equations, and visual models to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers (e.g. recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2). 
Common Core State Standards:
Math.5.NF.2 or 5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. 
Louisiana Academic Standards:
5.NF.A.2

Solve word problems involving addition and subtraction of fractions. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem.
 Use benchmark fractions and number sense of fractions to estimate mentally and justify the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that
3/7 < 1/2.

Massachusetts Curriculum Frameworks:
5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole (the whole can be a set of objects), including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. 
New York State Next Generation Learning Standards:
5.NF.2

Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. e.g., using visual fraction models or equations to represent the problem Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. e.g., Recognize an incorrect result 2/5 + 1/2 = 3/7 by observing that 3/7 < 1/2. 
Tennessee Academic Standards:
5.NF.A.2

Solve contextual problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 < 1/2. 
Wisconsin Academic Standards:
5.NF.A.2

Solve word problems involving addition and subtraction of fractions referring to the same whole using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7, by observing that 3/7 <1/2. 
Alabama Course of Study Standards:
14

Model and solve realworld problems involving multiplication of fractions and mixed numbers using
visual fraction models, drawings, or equations to represent the problem. 
Arizona Academic Standards:
5.NF.B.6

Solve problems in realworld contexts involving multiplication of fractions, including mixed numbers, by using a variety of representations including equations and models. 
Common Core State Standards:
Math.5.NF.6 or 5.NF.B.6

Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem. 
New York State Next Generation Learning Standards:
5.NF.6

Solve real world problems involving multiplication of fractions and mixed numbers. e.g., using visual fraction models or equations to represent the problem 
Tennessee Academic Standards:
5.NF.B.6

Solve realworld problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem. 
Wisconsin Academic Standards:
5.NF.B.6

Solve realworld problems involving multiplication of fractions and mixed numbers by using visual fraction models (e.g., tape diagrams, area models, or number lines) and equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. 
Alabama Course of Study Standards:
15.a

Solve realworld problems involving division of unit fractions by nonzero whole numbers and division
of whole numbers by unit fractions and illustrate using visual fraction models, drawings, and equations
to represent the problem. 
Arizona Academic Standards:
5.NF.B.7c

Solve problems in realworld context involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions, using a variety of representations. 
Common Core State Standards:
Math.5.NF.7c or 5.NF.B.7.C
Kentucky Academic Standards (KAS):
5.NF.7.c
Mississippi College and CareerReadiness Standards:
5.NF.7c

Solve real world problems involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions, e.g., by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3cup servings are in 2 cups of raisins? 
New York State Next Generation Learning Standards:
5.NF.7.c

Solve realworld problems involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions. e.g., using visual fraction models and equations to represent the problem e.g., How much chocolate will each person get if 3 people share 1/2 lb. of chocolate equally? How many 1/3cup servings are in 2 cups of raisins? 
Tennessee Academic Standards:
5.NF.B.7.c

Solve realworld problems involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 3 people share 1/2 lb of chocolate equally? How many 1/3 cup servings are in 2 cups of raisins? 
Wisconsin Academic Standards:
5.NF.B.7.c

Solve realworld problems involving division of unit fractions by nonzero whole numbers and division of whole numbers by unit fractions by using visual fraction models and equations to represent the problem. For example, how much chocolate will each person get if 4 people share 1/3 lb. of chocolate equally? Each person gets 1/12 lb. of chocolate. How many 1/5cup servings are in 4 cups of raisins? There are 20 servings of size 1/5cup of raisins. 
Pennsylvania Core Standards:
CC.2.1.5.C.2

Apply and extend previous understandings of multiplication and division to multiply and divide fractions. 
Pennsylvania Core Standards:
M05.AF.2.1.1

Solve word problems involving division of whole numbers leading to answers in the form of fractions (including mixed numbers). 
Pennsylvania Core Standards:
M05.AF.2.1.4

Divide unit fractions by whole numbers and whole numbers by unit fractions. 
Florida  Benchmarks for Excellent Student Thinking:
MA.5.AR.1.2

Solve realworld problems involving the addition, subtraction or multiplication of fractions, including mixed numbers and fractions greater than 1. 
Florida  Benchmarks for Excellent Student Thinking:
MA.5.AR.1.3

Solve realworld problems involving division of a unit fraction by a whole number and a whole number by a unit fraction 
Georgia Standards of Excellence (GSE):
5.NR.2.2

Fluently divide multidigit whole
numbers (up to 4digit dividends and
2digit divisors no greater than 25) to
solve practical problems. 
Georgia Standards of Excellence (GSE):
5.NR.3.3

Model and solve problems involving
addition and subtraction of fractions
and mixed numbers with unlike
denominators. 
Arkansas Academic Standards:
5.CAR.9

Solve and create realworld problems involving multiplication of fractions and mixed numbers. 
Arkansas Academic Standards:
5.CAR.10

Solve realworld problems involving the division of natural numbers leading to answers in the form of fractions or mixed numbers using visual models and equations. 
Arkansas Academic Standards:
5.CAR.11

Solve realworld problems involving the division of unit fractions by whole numbers and whole numbers by unit fractions, using visual fraction models and equations. 
