In this Grade 5 lesson from Illustrative Mathematics Chapter 2, students learn to multiply whole numbers by unit fractions and connect that process to division, discovering that expressions like 4 × 1/3, 1/3 × 4, and 4 ÷ 3 all represent the same value. Students solve real-world story problems, match situations to diagrams and equations, and build fluency with the relationship between fraction multiplication and division as described in standard 5.NF.B.4.a.
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
Accurately Representing Division as a Fraction
In the equivalence , the dividend () is always the numerator and the divisor () is always the denominator. An improper fraction is not equivalent to a mixed number with the same digits.
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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
Accurately Representing Division as a Fraction
In the equivalence , the dividend () is always the numerator and the divisor () is always the denominator. An improper fraction is not equivalent to a mixed number with the same digits.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter