NY Next Generation Math NY-4.NF.3.c
The Standard
Add and subtract mixed numbers with like denominators.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students add and subtract mixed numbers that have like denominators. They may work with equivalent improper fractions or combine whole-number and fractional parts.
What Mastery Looks Like
- The student finds 2 3/8 + 1 6/8 and renames 9/8 as 1 1/8 to get 4 1/8. The student handles needed regrouping in subtraction accurately.
Common Misconceptions
- Students may add denominators or combine whole numbers but ignore fractional parts. They may regroup one whole as the wrong number of denominator-sized pieces.
How to Assess It
- Ask students to solve 5 1/6 - 2 4/6 and show how one whole is renamed as 6/6.
Lesson moves
Ways to Teach It
Combine and separate mixed-number fraction strips, exchanging one whole for denominator-sized pieces when needed.
Ask students to explain why one whole becomes 8/8 when working with eighths.
Play mixed-number method match with models, improper-fraction equations, and whole-plus-fraction strategies.
Add or subtract mixed-number lengths with the same fractional unit for a craft plan.
Keep exploring
Related Standards
- NY-K.OA.2.a
Add and subtract within 10.
- NY-5.NF.1
Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce...
- NY-4.NF.3.d
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators.
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