Maryland Math 4.NOS.B.6.a
The Standard
- 4.NOS.B.6
- Divide whole numbers with up to four-digit dividends and one-digit divisors with and without remainders.
Apply estimation strategies to estimate quotients.
Maryland College and Career Ready Standards for Mathematics (2025) · USE PLACE VALUE UNDERSTANDING AND PROPERTIES OF OPERATIONS TO PERFORM MULTI-DIGIT ARITHMETIC.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students estimate the answer to a division problem with multi-digit numbers. They use a nearby number that divides easily and explain why their estimate is reasonable.
What Mastery Looks Like
- For 187 ÷ 6, a student uses 180 ÷ 6 to estimate about 30. They check that 6 × 30 = 180 is close to 187 and know 30 is not exact.
Common Misconceptions
- Some students change 187 ÷ 6 to 200 ÷ 10 and get 20, even though 6 × 20 is only 120. Others treat an estimate as an exact answer and ignore what is left over.
How to Assess It
- Exit ticket: Estimate 238 ÷ 6 without finding the exact quotient. Write the nearby division fact you used and check it with multiplication.
Lesson moves
Ways to Teach It
Give pairs 18 ten-rods and 6 ones; have them estimate 186 ÷ 6 using 180 ÷ 6, then share the pieces.
Ask, "Is 187 ÷ 6 closer to 30 or 40? Which multiplication facts support your choice?"
Show 198 ÷ 4, 241 ÷ 6, and 358 ÷ 9; pairs race to write a nearby easy division fact for each.
The library has 398 books for 8 carts; have students use 400 ÷ 8 to plan about 50 books per cart.
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Printable 4.NOS.B.6.a Worksheet
A ready-to-print activity worksheet aligned to 4.NOS.B.6.a, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NOS.B.5.a
Apply estimation strategies to estimate quotients.
- 5.NOS.D.16.a
Apply estimation strategies to estimate quotients and assess reasonableness of answers.
- 5.NOS.B.7.a
Apply estimation strategies to estimate products and quotients.
- 6.NOS.B.2.a
Extend estimation strategies to estimate and assess the reasonableness of quotients.
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