Virginia SOL 4.CE.2.k
The Standard
Interpret the quotient and remainder when solving a contextual problem.
Virginia Standards of Learning for Mathematics · The student will estimate, represent, solve, and justify solutions to single-step and multistep problems, including those in context, using multiplication with whole numbers, and single-step problems, including those in context, using division with whole numbers; and recall with automaticity the multiplication facts through 12 × 12 and the corresponding division facts.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide whole numbers in story problems, then explain what the quotient and remainder mean in that situation. They decide whether to report leftovers, round up, or count only complete groups.
What Mastery Looks Like
- A student writes a complete answer with units and connects the quotient and remainder to the story. The student can explain why 29 students need 5 vans, rather than reporting only 4 R5.
Common Misconceptions
- Students may write a result such as 9 R1 without explaining what either number represents. They may always round up or always ignore the remainder, even when the situation calls for a different choice.
How to Assess It
- Exit ticket: “Twenty-nine students ride in vans that hold 6 students each. How many vans are needed? Show the division and explain the quotient and remainder.”
Lesson moves
Ways to Teach It
Give pairs 29 counters and cups that hold 6; students build groups, record 29 ÷ 6, and label the remainder.
Students compare two word problems and answer, “When does a remainder require another group, and when does it represent leftovers?”
Play Remainder Sort: teams solve story cards and place each under Round Up, Left Over, or Full Groups Only.
Plan buses for 53 students with 12 seats each, then explain why the school must reserve five buses.
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Printable 4.CE.2.k Worksheet
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Related Standards
- 6.CE.2.d
Estimate, determine, and justify the solution to one and two-step contextual problems, involving addition, subtraction, multiplication, and division with intege...
- 5.CE.1.a
Estimate the sum, difference, product, and quotient of whole numbers in contextual problems.
- 4.CE.2.j
Estimate, represent, solve, and justify solutions to single-step contextual problems involving division with whole numbers.
- 5.CE.1.c
The 5th Grade version of this standard.
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