Virginia SOL 5.CE.1.c
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 contextual problems using addition, subtraction, multiplication, and division with whole numbers.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide whole numbers in a word problem, then decide what the quotient and remainder mean in that situation. They report groups, leftovers, or the total number of groups needed.
What Mastery Looks Like
- A student finds an accurate quotient and remainder, labels each with the correct units, and answers in a complete sentence. The student explains why the remainder should be kept, discarded, or used to add another group.
Common Misconceptions
- Students may write “12 R3” without explaining what either number represents. They may always drop the remainder, always round up, or confuse items per group with the number of groups.
How to Assess It
- Exit ticket: “A school must transport 157 students in vans that hold 12 students each. Explain the quotient and remainder, then state how many vans are needed.”
Lesson moves
Ways to Teach It
Give pairs 43 counters and six cups to share equally, then label the quotient and remainder based on the model.
Ask students to explain what 7 R2 means when 58 muffins are packed into boxes holding eight muffins each.
Play Remainder Decision Sort by placing problem cards under keep the remainder, discard it, or add another group.
Use a bus seating chart to calculate full buses, leftover passengers, and the total number of buses needed.
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Printable 5.CE.1.c 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...
- 4.CE.2.k
The 4th Grade version of this standard.
- 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.
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