NY Next Generation Math NY-3.OA.2

Math3rd GradeRepresent and solve problems involving multiplication and division.

The Standard

Interpret whole-number quotients of whole numbers.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students interpret a whole-number quotient as either the size of each equal share or the number of equal groups. They connect a division expression to a context, model, and related multiplication fact.
What Mastery Looks Like: A student explains 24 divided by 6 as 24 objects shared among 6 groups, giving 4 in each group. The student also explains it as the number of groups of 6 in 24.
Common Misconceptions: Students may confuse the number of groups with the size of each group. They may treat division as subtracting once or write a story whose quantities do not match the expression.
How to Assess It: Show 24 divided by 6 and ask students to write two matching stories, one about equal shares and one about groups of 6.

Lesson moves

Arrange 30 counters into five equal groups, then regroup them into groups of five and compare both quotient meanings.
Ask students how sharing 18 objects among 3 people differs from making groups of 3.
Play division-story match with quotient expressions, equal-sharing models, equal-group models, and multiplication checks.
Describe packing items equally into boxes or sharing snacks equally among people with division.

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