Standards Map

Mathematics > Grade 4 > Number and Operations—Fractions
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Mathematics | Grade : 4

Domain - Number and Operations—Fractions

Cluster - Extend understanding of fraction equivalence and ordering for fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

[4.NF.A.1] - Explain why a fraction a/b is equivalent to a fraction (n x a)/(n x b) by using visual fraction models, with attention to how the numbers and sizes of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions, including fractions greater than 1.

Resources:

Predecessor Standards:

  • 3.NF.A.3
    Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. [Note: Grade 3 expectations in this domain are limited to fractions with denominators 2, 3, 4, 6, and 8.]

Successor 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.)
  • 5.NF.B.5
    Interpret multiplication as scaling (resizing), by:

Same Level Standards:

  • 4.OA.A.2
    Multiply or divide to solve word problems involving multiplicative comparison, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem, distinguishing multiplicative comparison from additive comparison. [Note: See Glossary, Table 2.]
  • 4.NF.A.2
    Compare two fractions with different numerators and different denominators, e.g., by creating common denominators or numerators, or by comparing to a benchmark fraction such as 1/2. Recognize that comparisons are valid only when the two fractions refer to the same whole. Record the results of comparisons with symbols >, =, or <, and justify the conclusions, e.g., by using a visual fraction model.
  • 4.NF.B.3
    Understand a fraction a/b with a > 1 as a sum of fractions 1/b.  [Note: Grade 4 expectations in this domain are limited to fractions with denominators 2,3,4,5,6,8,10, 12, and 100.]
  • 4.NF.C.5
    Express a fraction with denominator 10 as an equivalent fraction with denominator 100, and use this technique to add two fractions with respective denominators 10 and 100. For example, express 3/10 as 30/100, and add 3/10 + 4/100 = 34/100.