NY Next Generation Math NY-4.NBT.6
The Standard
Find whole-number quotients and remainders with up to four-digit dividends and one-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 divide dividends with up to four digits by one-digit divisors to find whole-number quotients and remainders. They use place value or multiplication relationships and explain with equations, arrays, or area models.
What Mastery Looks Like
- The student solves 1,357 divided by 6 as 226 remainder 1 and checks that 6 times 226 plus 1 equals 1,357. The model matches the quotient parts.
Common Misconceptions
- Students may ignore a zero in the quotient or leave a remainder equal to or greater than the divisor. They may lose place value while subtracting partial products.
How to Assess It
- Ask students to solve 728 divided by 6 using an equation, array, or area model and check the quotient and remainder.
Lesson moves
Ways to Teach It
Partition base-ten blocks into equal groups, exchanging units as needed and recording each quotient part.
Ask students why a remainder must be smaller than the divisor.
Play division-model match with partial quotients, area models, equations, and remainder checks.
Share a four-digit supply count among equal teams and interpret any remainder.
Free download
Printable NY-4.NBT.6 Worksheet
A ready-to-print activity worksheet aligned to NY-4.NBT.6, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- NY-5.NBT.6
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 op...
- NY-4.NBT.5
Multiply a whole number of up to four digits by a one-digit whole number, and multiply two two-digit numbers, using strategies based on place value and the prop...
- NY-6.NS.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions.
- NY-3.OA.7.a
Fluently solve single-digit multiplication and related divisions, using strategies such as the relationship between multiplication and division or properties of...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.
Also for this standard:Make a WorksheetMake a QuizMake a Sub Lesson