Maryland Math 6.NOS.A.1.a
The Standard
- 6.NOS.A.1
- Divide fractions by fractions in context.
Extend estimation strategies to estimate and assess the reasonableness of quotients.
Maryland College and Career Ready Standards for Mathematics (2025) · APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION TO DIVIDE FRACTIONS BY FRACTIONS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students estimate answers to fraction division problems using nearby, easier numbers. They use those estimates to decide whether a quotient makes sense.
What Mastery Looks Like
- For 2 3/4 ÷ 2/3, a student estimates about 4 using 3 ÷ 3/4. They reject 1 5/6 because dividing by a positive fraction less than 1 gives an answer larger than 2 3/4.
Common Misconceptions
- Students may think division always makes the answer smaller. They may round 2/3 to 1 and accept an answer near the starting number without checking whether it makes sense.
How to Assess It
- Exit ticket: Estimate 2 3/4 ÷ 2/3, then decide whether 1 5/6 is reasonable. Show the nearby numbers you used and explain your decision.
Lesson moves
Ways to Teach It
Use paper fraction strips to estimate how many 3/4-unit strips fit into 2 1/2 units, then lay them down to check.
Write two sentences explaining why 2 ÷ 1/4 must be greater than 2, without finding the exact quotient.
Play Estimate or Reject with cards showing 1 3/4 ÷ 1/2 and proposed answers 7/8, 3 1/2, and 7.
For 2 3/4 cups of flour and 2/3 cup per batch, estimate full batches and assess a claim of eight.
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Printable 6.NOS.A.1.a Worksheet
A ready-to-print activity worksheet aligned to 6.NOS.A.1.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.
- 4.NOS.B.6.a
Apply estimation strategies to estimate quotients.
- 6.NOS.B.3.a
Extend estimation strategies to estimate and assess the reasonableness of products and quotients.
- 6.NOS.B.2.a
Extend estimation strategies to estimate and assess the reasonableness of quotients.
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