Standards Map

Mathematics > Grade 5 > Number and Operations—Fractions
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Mathematics | Grade : 5

Domain - Number and Operations—Fractions

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

[5.NF.B.6] - Solve real-world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.

Resources:

Predecessor Standards:

  • 3.OA.A.1
    Interpret products of whole numbers, e.g., interpret 5 x 7 as the total number of objects in five groups of seven objects each. For example, describe a context in which a total number of objects can be expressed as 5 x 7.
  • 3.OA.A.2
    Interpret whole-number quotients of whole numbers, e.g., interpret 56 ÷ 8 as the number of objects in each share when 56 objects are partitioned equally into 8 shares, or as a number of shares when 56 objects are partitioned into equal shares of 8 objects each. For example, describe a context in which a number of shares or a number of groups can be expressed as 56 ÷ 8.
  • 4.OA.A.1
    Interpret a multiplication equation as a comparison, e.g., interpret 35 = 5 x 7 as a statement that 35 is 5 times as many as 7 and 7 times as many as 5. Represent verbal statements of multiplicative comparisons as multiplication equations.
  • 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.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.

Successor Standards:

No Successor Standards found.

Same Level Standards:

  • 5.NF.B.4
    Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
  • 5.NF.B.5
    Interpret multiplication as scaling (resizing), by:
  • 5.NF.B.7
    Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. [Note: Students able to multiply fractions in general can develop strategies to divide fractions in general, by reasoning about the relationship between multiplication and division. But division of a fraction by a fraction is not a requirement at this grade.]
  • 5.MD.B.2
    Make a line plot (dot plot) to display a data set of measurements in fractions of a unit. Use operations on fractions for this grade to solve problems involving information presented in line plot (dot plot). For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were redistributed equally.