Maryland Math 6.NOS.A.1.c
The Standard
- 6.NOS.A.1
- Divide fractions by fractions in context.
Represent and explain the calculation by connecting fraction models, and/or equations to the meaning of division.
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 use drawings or fraction strips to show one fraction divided by another. They write an equation and explain what the answer counts.
What Mastery Looks Like
- A student can show that 3/4 ÷ 1/2 = 1 1/2 using fraction strips. They explain that one and a half half-cup portions fit in 3/4 cup.
Common Misconceptions
- Students may reverse the fractions or multiply straight across instead of dividing. They may also call the answer cups when it counts the number of portions.
How to Assess It
- Exit ticket: Draw a model for 2/3 ÷ 1/6. Write an equation and one sentence explaining what your answer counts.
Lesson moves
Ways to Teach It
Cut paper strips into fourths and halves, then use them to show how many halves fit in three fourths.
Ask, "Why is 3/4 ÷ 1/2 greater than 1?" Have partners sketch and explain their answers.
Play match-up with cards showing 2/3 ÷ 1/6, a diagram of four shaded sixths, and 4; students explain each match.
A recipe needs 3/4 cup of sugar, and your scoop holds 1/8 cup; find the number of scoops and sketch why.
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Printable 6.NOS.A.1.c Worksheet
A ready-to-print activity worksheet aligned to 6.NOS.A.1.c, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NOS.D.16.d
Represent and explain the computation by connecting visual fraction models and/or equations to the meaning of division with unit fractions.
- 5.NOS.B.5.d
Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of division.
- 4.NOS.B.6.d
Represent and explain the computation by connecting rectangular arrays, area models, and/or equations to the meaning of division.
- 5.NOS.B.7.e
Represent and explain the computation by connecting concrete models, drawings, and/or equations to the meaning of multiplication and division.
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