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Real World Fractions

5th Grade

Alabama Course of Study Standards: 9

Model and solve real-word 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.

Arkansas 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
For example: Use 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.

Arizona - K-12 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.
  1. 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.
  2. 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 real-world problems involving multiplication of fractions and mixed numbers using visual fraction models, drawings, or equations to represent the problem.

Arkansas Academic Standards: 5.NF.B.6

Solve real world problems involving multiplication of fractions and mixed numbers

For example: Use visual fraction models or equations to represent the problem.

Arizona - K-12 Academic Standards: 5.NF.B.6

Solve problems in real-world 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 real-world 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 real-world 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 real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions and illustrate using visual fraction models, drawings, and equations to represent the problem.

Arkansas Academic Standards: 5.NF.B.7.C

Solve real world problems involving division of unit fractions by natural numbers and division of whole numbers by unit fractions

For example: Use visual fraction models and equations to represent the problem. 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?

Arizona - K-12 Academic Standards: 5.NF.B.7c

Solve problems in real-world context involving division of unit fractions by non-zero 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 Career-Readiness Standards: 5.NF.7c

Solve real world problems involving division of unit fractions by non-zero 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 1/3-cup servings are in 2 cups of raisins?

New York State Next Generation Learning Standards: 5.NF.7.c

Solve real-world problems involving division of unit fractions by non-zero 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 1/3-cup servings are in 2 cups of raisins?

Tennessee Academic Standards: 5.NF.B.7.c

Solve real-world problems involving division of unit fractions by non-zero 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 real-world problems involving division of unit fractions by non-zero 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 1/5-cup servings are in 4 cups of raisins? There are 20 servings of size 1/5-cup 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.A-F.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.A-F.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 real-world 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 real-world 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 multi-digit whole numbers (up to 4-digit dividends and 2-digit 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.

5th Grade Math - Real World Fractions Lesson
 
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