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STANDARDS

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US-NC

Math

North Carolina Math

Grade 5: Number and Operations – Fractions

Use equivalent fractions as a strategy to add and subtract fractions.

NC.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.

NC.5.NF.1.a

Not covered
Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers.
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NC.5.NF.1.b

Fully covered
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.

Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

NC.5.NF.3

Use fractions to model and solve division problems.

NC.5.NF.3.a

Mostly covered
Interpret a fraction as an equal sharing context, where a quantity is divided into equal parts.

NC.5.NF.3.b

Mostly covered
Model and interpret a fraction as the division of the numerator by the denominator.

NC.5.NF.3.c

Fully covered
Solve one-step word problems involving division of whole numbers leading to answers in the form of fractions and mixed numbers, with denominators of 2, 3, 4, 5, 6, 8, 10, and 12, using area, length, and set models or equations.

NC.5.NF.4

Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction, including mixed numbers.

NC.5.NF.4.a

Fully covered
Use area and length models to multiply two fractions, with the denominators 2, 3, 4.

NC.5.NF.4.b

Fully covered
Explain why multiplying a given number by a fraction greater than 1 results in a product greater than the given number and when multiplying a given number by a fraction less than 1 results in a product smaller than the given number.

NC.5.NF.4.c

Fully covered
Solve one-step word problems involving multiplication of fractions using models to develop the algorithm.

NC.5.NF.7

Fully covered
Solve one-step word problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions using area and length models, and equations to represent the problem.