Virginia SOL 4.CE.2.j
The Standard
Estimate, represent, solve, and justify solutions to single-step contextual problems involving division with whole numbers.
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 identify whether a situation calls for sharing equally or making equal groups. They estimate the answer, show the division with a model or equation, calculate, and explain how the answer fits the story.
What Mastery Looks Like
- Given a word problem, students choose division and make a reasonable estimate before calculating. They show a model or equation, find an accurate quotient, interpret any remainder, and explain why the answer fits.
Common Misconceptions
- Students may multiply because they focus on the numbers instead of what the question asks. They may treat an estimate as an exact answer or ignore a remainder. Some report the remainder without explaining what it means in the situation.
How to Assess It
- Exit ticket: “A library packs 187 books equally into 6 boxes. How many books go in each box, and how many remain?” Require an estimate, model or equation, exact answer, and one-sentence justification.
Lesson moves
Ways to Teach It
Give pairs 84 counters and 7 cups; they estimate, share equally, draw the model, and write 84 ÷ 7 = 12.
Discuss whether 19 or 20 vans are needed to carry 156 students when each van holds 8, using the remainder as evidence.
Run a task-card match where students pair each division story with an estimate, model, equation, exact answer, and remainder explanation.
Have students divide 238 classroom markers among six tables, then explain how many each table gets and what to do with leftovers.
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- 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...
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Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems that involve multiplication with whole numbers.
- 5.CE.3.e
Solve single-step contextual problems involving division with decimals by applying strategies (e.g., estimation, modeling) and algorithms, including the standar...
- 3.CE.2.e
Represent, solve, and justify solutions to single-step contextual problems that involve multiplication and division of whole numbers through 10 × 10.
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