Maryland Math 4.NOS.E.13.b
The Standard
- 4.NOS.E.13
- Apply and extend previous understandings of multiplication to multiply a fraction by a whole number (b × c/d).
Use understanding of multiplication as equal groups to multiply a unit fraction by whole number (e.g., interpret b × 1/d as b groups of 1/d).
Maryland College and Career Ready Standards for Mathematics (2025) · BUILD FRACTIONS FROM UNIT FRACTIONS BY APPLYING AND EXTENDING PREVIOUS UNDERSTANDINGS OF OPERATIONS ON WHOLE NUMBERS.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students make several equal groups with one unit fraction in each group. They count the pieces and write the total as a fraction.
What Mastery Looks Like
- Given 5 × 1/4, a student draws five fourth-sized pieces and labels the total 5/4. They explain why the denominator stays 4 and show 5/4 on a number line.
Common Misconceptions
- Students may multiply the denominator too, writing 5 × 1/4 = 5/20. Others stop at 4/4 because they think fractions cannot be greater than one, or draw pieces from different-sized wholes.
How to Assess It
- Exit ticket: Draw 6 groups of 1/4, write the total as a fraction, and explain why the denominator stays 4.
Lesson moves
Ways to Teach It
Give pairs five identical paper strips marked in sixths; cut one sixth from each, line up the pieces, and label the total 5/6.
Have students sketch five thirds and explain in writing why 5 × 1/3 equals 5/3, not 5/15.
Partners roll a die, make that many 1/4 hops on a 0-to-2 number line, and write the matching multiplication equation.
Have students pour six level 1/8-cup scoops of dry rice into a measuring cup and record the total as 6/8 cup.
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Printable 4.NOS.E.13.b Worksheet
A ready-to-print activity worksheet aligned to 4.NOS.E.13.b, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NOS.D.11.b
Multiply a whole number by a fraction (e.g., interpret c/d × b as c/d of b when c/d is greater than or less than 1).
- 5.NOS.D.11
Apply and extend previous understandings of multiplication to multiply a whole number by a fraction (c/d × b).
- 4.NOS.E.13.c
Use understanding of multiplication as equal groups to multiply a fraction by whole number (e.g., interpret b × c/d as b groups of c/d when c/d is greater than ...
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