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5th Grade

Alabama Course of Study Standards: 10

Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.

Arkansas Academic Standards: 5.NF.A.1

Efficiently, accurately, and with some degree of flexibility, add and subtract fractions with unlike denominators (including mixed numbers) using equivalent fractions and common denominators

For example: Understand that 2/3 + 5/4 = 8/12 + 15/12 = 23/12 (In general, a/b + c/d = (ad + bc)/bd)

Note: The focus of this standard is applying equivalent fractions, not necessarily finding least common denominators or putting results in simplest form.

Arizona - K-12 Academic Standards: 5.NF.A.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators (e.g., 2/3 + 5/4 = 8/12 + 15/12 = 23/12).

Common Core State Standards: Math.5.NF.1 or 5.NF.A.1

Tennessee Academic Standards: 5.NF.A.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. (In general, a/b + c/d = (ad + bc)/bd.)

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.

North Carolina - Standard Course of Study: 5.NF.1

Add and subtract fractions, including mixed numbers, with unlike denominators using related fractions: halves, fourths and eighths; thirds, sixths, and twelfths; fifths, tenths, and hundredths.
  • Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
  • Solve one- and two-step word problems in context using area and length models to develop the algorithm. Represent the word problem in an equation.

New York State Next Generation Learning Standards: 5.NF.1

Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators.
e.g.,
  • 1/3 + 2/9 = 3/9 + 2/9 = 5/9
  • 2/3 + 5/4 = 8/12 + 15/12 = 23/12

Ohio's Learning Standards: 5.NF.1

Add and subtract fractions with unlike denominators (including mixed numbers and fractions greater than 1) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12.
In general, a/b + c/d = (a/b x d/d) + (c/d x b/b) = (ad + bc)/bd.

Wisconsin Academic Standards: 5.NF.A.1

Add and subtract fractions and mixed numbers using flexible and efficient strategies, including renaming fractions with equivalent fractions. Justify using visual models (e.g., tape diagrams or number lines) and equations.
For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12.

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.

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