MA19.6.4

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

Aligned Learning Resources

Varieties of Quadrilaterals

Design by Adaptive Theme