Number Sense and Operations – Fractions

4.NSF.1Explain why a fraction (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100), a/b, is equivalent to a fraction, (nxa)/(nxb), by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.4.NSF.2Compare two given fractions (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100) by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2 and represent the comparison using the symbols >, =, or <.4.NSF.3Develop an understanding of addition and subtraction of fractions (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100) based on unit fractions.4.NSF.3aCompose and decompose a fraction in more than one way, recording each composition and decomposition as an addition or subtraction equation.4.NSF.3bAdd and subtract mixed numbers with like denominators.4.NSF.3cSolve real-world problems involving addition and subtraction of fractions referring to the same whole and having like denominators.4.NSF.4Apply and extend an understanding of multiplication by multiplying a whole number and a fraction (i.e., denominators 2, 3, 4, 5, 6, 8, 10, 12, 25, 100).4.NSF.4aUnderstand a fraction a/b as a multiple of 1/b.4.NSF.4bUnderstand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number.4.NSF.4cSolve real-world problems involving multiplication of a fraction by a whole number (i.e., use visual fraction models and equations to represent the problem).4.NSF.5Express a fraction with a denominator of 10 as an equivalent fraction with a denominator of 100 and use this technique to add two fractions with respective denominators of 10 and 100.4.NSF.6Write a fraction with a denominator of 10 or 100 using decimal notation, and read and write a decimal number as a fraction.4.NSF.7Compare and order decimal numbers to hundredths, and justify using concrete and visual models.
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