NY Next Generation Math NY-5.NBT.6
The Standard
Find whole-number quotients of whole numbers with up to four-digit dividends and two-digit divisors, using strategies based on place value, the properties of operations, and/or the relationship between multiplication and division. Illustrate and explain the calculation by using equations, rectangular arrays, and/or area models.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students find whole-number quotients for dividends up to four digits and two-digit divisors. They use place value or multiplication relationships and explain with equations, arrays, or area models.
What Mastery Looks Like
- The student solves 1,248 divided by 24 as 52 and checks that 24 times 52 equals 1,248. The student connects partial quotients to the model.
Common Misconceptions
- Students may choose partial quotients that exceed the remaining dividend or lose place value. They may give a decimal when the task asks for a whole-number quotient.
How to Assess It
- Ask students to solve 1,176 divided by 28 using an area model or partial quotients and verify by multiplication.
Lesson moves
Ways to Teach It
Partition a rectangular area into friendly multiples of a two-digit divisor and add the resulting partial quotients.
Ask students how multiplication facts can help choose an efficient partial quotient.
Play quotient-model match with division equations, area partitions, partial quotients, and multiplication checks.
Share a four-digit item count equally among a two-digit number of groups and explain the quotient.
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Printable NY-5.NBT.6 Worksheet
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