Maryland Math 4.AT.A.4.b
The Standard
- 4.AT.A.4
- Solve multistep problems in context involving whole numbers and having whole number answers using the four operations, including problems in which remainders must be interpreted.
Assess the reasonableness of answers in terms of context, including interpreting remainders.
Maryland College and Career Ready Standards for Mathematics (2025) · REPRESENT AND SOLVE PROBLEMS INVOLVING MULTIPLICATION AND DIVISION.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve multiplication and division word problems, then check whether their answers make sense in the situation. When there is a remainder, they decide whether to add another group, report what is left, or count only full groups.
What Mastery Looks Like
- A student knows that 29 students need four vans if each van seats eight. They can show that three vans hold only 24 students. They can also explain why 29 pencils make three full boxes of eight, with five pencils left.
Common Misconceptions
- Students may write “3 remainder 5 vans” and leave five students without a ride. Others round up every time, even when the question asks for full boxes. Some do not check whether their answer fits the numbers in the story.
How to Assess It
- Exit ticket: 29 students need rides in vans that seat eight. How many vans are needed? Show a multiplication check and explain what happens to the five students left after filling three vans.
Lesson moves
Ways to Teach It
Give pairs 29 counters and paper vans with eight seats each; have them seat every counter and count the vans.
Ask why 29 divided by eight means four vans but only three full boxes when packing 29 pencils eight per box.
Have pairs sort two cards: full bags from 29 cookies packed eight per bag, and vans for 29 students seated eight per van.
Show an egg carton that holds 12 eggs; ask how many cartons to buy for a recipe needing 25 eggs.
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Related Standards
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Apply estimation strategies to estimate quotients and assess reasonableness of answers.
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- 7.AT.C.9.c
Interpret the solution set in terms of the context by describing what values are possible or reasonable in the given situation.
- 7.NOS.A.3.b
Evaluate the reasonableness of solutions using estimation, mental math, and understanding of the context.
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