Mathematics (2019) Grade(s): 6

MA19.6.4

Interpret and compute quotients of fractions using visual models and equations to represent problems.

Unpacked Content

Knowledge

Students know:
  • Strategies for representing fractions and operations on fractions using visual models,
  • The inverse relationship between multiplication and division (a ÷ b = c implies that a = b x c).
  • Strategies to solve mathematical and conceptual problems involving quotients of fractions.

Skills

Students are able to:
  • Represent fractions and operations on fractions using visual models.
  • Interpret quotients resulting from the division of a fraction by a fraction.
  • Accurately determine quotients of fractions by fractions using visual models/equations.
  • Justify solutions to division problems involving fractions using the inverse relationship between multiplication and division.

Understanding

Students understand that:
  • The operation of division is interpreted the same with fractions as with whole numbers.
  • The inverse relationship between the operations of multiplication and division that was true for whole numbers continues to be true for fractions.
  • The relationships between operations can be used to solve problems and justify solutions and solution paths.

Vocabulary

  • Visual fraction models
  • Dividend
  • Divisor
  • Quotient
  • Equation
  • Numerator
  • Denominator
  • Mixed number
  • Improper fraction
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