Standards Map

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

Domain - Number and Operations—Fractions

Cluster - Build fractions from unit fractions by applying and extending previous understandings of operations on whole numbers for fractions with denominators 2, 3, 4, 5, 6, 8, 10, 12, and 100.

[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.]

Resources:


  • Fraction
    A number expressible in the form a/b where a is a whole number and b is a positive whole number. (The word fraction in these standards always refers to a nonnegative number.)
  • Ambassador Task: 5 Sandwiches

Predecessor Standards:

  • 1.OA.B.3
    Apply properties of operations to add. For example, when adding numbers order does not matter. If 8 + 3 = 11 is known, then 3 + 8 = 11 is also known (Commutative property of addition). To add 2 + 6 + 4, the second two numbers can be added to make a ten, so 2 + 6 + 4 = 2 + 10 = 12 (Associative property of addition). When adding zero to a number, the result is the same number (Identity property of zero for addition). [Note: Students need not use formal terms for these properties]
  • 1.OA.B.4
    Understand subtraction as an unknown-addend problem. For example, subtract 10 – 8 by finding the number that makes 10 when added to 8.
  • 2.OA.A.1
    Use addition and subtraction within 100 to solve one- and two-step word problems involving situations of adding to, taking from, putting together, taking apart, and comparing, with unknowns in all positions, e.g., by using drawings and equations with a symbol for the unknown number to represent the problem. See Glossary, Table 1
  • 3.NF.A.1
    Understand a fraction 1/b as the quantity formed by 1 part when a whole (a single unit) is partitioned into b equal parts; understand a fraction a/b as the quantity formed by a parts of size 1/b.
  • 3.NF.A.2
    Understand a fraction as a number on the number line; represent fractions on a number line diagram.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 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.
  • 4.NF.B.3.d
    Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using drawings or visual fraction models and equations to represent the problem.
  • 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.
  • 4.MD.A.2
    Use the four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale.