In this Grade 5 lesson from Illustrative Mathematics, students write division equations to represent equal-sharing situations and explain how each part of the equation — dividend, divisor, and fraction — corresponds to the real-world context. Building on the understanding that 1 ÷ b = 1/b, students extend this to recognize that a ÷ b = a/b, connecting the numerator to the quantity being shared and the denominator to the number of sharers. The lesson addresses standard 5.NF.B.3 and develops students' ability to interpret and critique equations involving fractions as quotients.
Section 1
Model Division as Sharing into Equal Groups
A division equation of the form , can be modeled by drawing the specified number of groups and then distributing the total amount equally among them. The number of items in each group is the solution.
Section 2
Sharing One Whole as a Unit Fraction
A unit fraction represents one equal part of a whole.
If a whole is divided into equal parts, one of those parts is the unit fraction .
Section 3
Representing Division as an Improper Fraction
When a dividend is greater than a divisor , the division expression is equivalent to the improper fraction .
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Section 1
Model Division as Sharing into Equal Groups
A division equation of the form , can be modeled by drawing the specified number of groups and then distributing the total amount equally among them. The number of items in each group is the solution.
Section 2
Sharing One Whole as a Unit Fraction
A unit fraction represents one equal part of a whole.
If a whole is divided into equal parts, one of those parts is the unit fraction .
Section 3
Representing Division as an Improper Fraction
When a dividend is greater than a divisor , the division expression is equivalent to the improper fraction .
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter