Number Sense and Operations – Fractions

5.NSF.1Add and subtract fractions with unlike denominators (including mixed numbers) using a variety of models, including an area model and number line.5.NSF.2Solve real-world problems involving addition and subtraction of fractions with unlike denominators.5.NSF.3Understand the relationship between fractions and division of whole numbers by interpreting a fraction as the numerator divided by the denominator (i.e., a/b=a÷b).5.NSF.4Extend the concept of multiplication to multiply a fraction or whole number by a fraction.5.NSF.4aRecognize the relationship between multiplying fractions and finding the areas of rectangles with fractional side lengths.5.NSF.4bInterpret multiplication of a fraction by a whole number and a whole number by a fraction and compute the product.5.NSF.4cInterpret multiplication in which both factors are fractions less than one and compute the product.5.NSF.5Justify the reasonableness of a product when multiplying with fractions.5.NSF.5aEstimate the size of the product based on the size of the two factors.5.NSF.5bExplain why multiplying a given number by a number greater than 1 (e.g., improper fractions, mixed numbers, whole numbers) results in a product larger than the given number.5.NSF.5cExplain why multiplying a given number by a fraction less than 1 results in a product smaller than the given number.5.NSF.5dExplain why multiplying the numerator and denominator by the same number has the same effect as multiplying the fraction by 1.5.NSF.6Solve real-world problems involving multiplication of a fraction by a fraction, improper fraction and a mixed number.5.NSF.7Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations.5.NSF.7aInterpret division of a unit fraction by a non-zero whole number and compute the quotient.5.NSF.7bInterpret division of a whole number by a unit fraction and compute the quotient.5.NSF.8Solve real-world problems involving division of unit fractions and whole numbers, using visual fraction models and equations.
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