NY Next Generation Math NY-4.NF.4.c
The Standard
Solve word problems involving multiplication of a whole number by a fraction.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve word problems that multiply a fraction by a whole number. They use a visual model or equation to represent the quantities and product.
What Mastery Looks Like
- The student solves 3 times 2/5 as 6/5 and interprets the result in context. The model, equation, units, and answer agree.
Common Misconceptions
- Students may multiply both numerator and denominator by the whole number. They may ignore units or fail to interpret an improper fraction in the situation.
How to Assess It
- Ask students to find the ribbon needed for 5 pieces that each measure 3/4 meter. Require an equation, model, and labeled answer.
Lesson moves
Ways to Teach It
Join five paper strips measuring 3/4 unit each and label the total length.
Ask students why 4 times 2/3 is not 8/12.
Play Fraction Story Match by pairing context cards with models and equations.
Calculate the total amount of an ingredient used in several equal batches.
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Printable NY-4.NF.4.c Worksheet

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Related Standards
- NY-5.NF.6
Solve real world problems involving multiplication of fractions and mixed numbers.
- NY-5.NF.2
Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators. Use benchmark fractions...
- NY-4.NF.3.d
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.
- NY-4.NF.4
Apply and extend previous understandings of multiplication to multiply a whole number by a fraction.
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