Maryland Math 5.NOS.D.16.c
The Standard
- 5.NOS.D.16
- Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions in context.
Use visual fraction models and equations to interpret division of a whole number by a unit fraction and compute quotients.
Maryland College and Career Ready Standards for Mathematics (2025) · APPLY AND EXTEND PREVIOUS UNDERSTANDINGS OF MULTIPLICATION AND DIVISION TO MULTIPLY AND DIVIDE FRACTIONS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students draw models to find how many unit fractions fit in a whole number. They write a division equation and find the quotient.
What Mastery Looks Like
- A student shows 3 wholes split into fourths and counts 12 fourths. They write 3 ÷ 1/4 = 12 and explain that 12 is the number of fourths.
Common Misconceptions
- Students may answer 3/4 because they multiply by 1/4 instead of dividing. Others split only one whole into fourths and answer 4.
How to Assess It
- Exit ticket: Draw a model for 3 ÷ 1/4, write the quotient, and explain what your answer counts.
Lesson moves
Ways to Teach It
Give students three paper strips, have them fold each into fourths, then count all the fourths.
Ask, “Why does 2 ÷ 1/3 equal 6?” Have students sketch and explain their answer.
Make cards showing division equations, fraction-strip drawings, and quotients; have pairs match each set of three.
Pose: “You have 2 liters of juice and 1/4-liter cups. How many cups can you fill?” Have students draw and solve.
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Printable 5.NOS.D.16.c Worksheet
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Related Standards
- 4.NOS.E.13.d
Solve problems in context involving multiplication of a fraction by a whole number, using visual fraction models and equations to represent the problem.
- 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.D.16.b
Use visual fraction models and equations to interpret division of a unit fraction by a non-zero whole number and compute quotients.
- 6.NOS.A.1.c
Represent and explain the calculation by connecting fraction models, and/or equations to the meaning of division.
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