Virginia SOL 5.CE.1.b.iv
The Standard
dividends do not exceed four digits.
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 make equations or models for one-step and multistep word problems, then solve using whole-number operations. They estimate to check answers and explain how the context affects any remainder.
What Mastery Looks Like
- Students identify the needed operations, organize the steps, and calculate accurately using a suitable strategy or standard algorithm. They label the answer, interpret any remainder, and use estimation to check reasonableness.
Common Misconceptions
- Students may choose operations from key words without considering the situation or the order of steps. They may misalign place values or skip regrouping. They may also ignore a remainder or round it incorrectly for the context.
How to Assess It
- Use this exit ticket: “A school must transport 1,275 students in buses holding 48 students each. Each bus costs $325. Find the number of buses and total cost. Show an estimate, equations, work, and explain the remainder.”
Lesson moves
Ways to Teach It
Use place-value disks to model 1,248 supplies shared among six classrooms, then record each regrouping beside the standard division algorithm.
Display a two-step problem and ask, “Which operation comes first, and what information proves your plan?”
Run a task-card relay where teams solve problems, check estimates, and earn a point only after explaining each remainder.
Give pairs a supply catalog and $2,000 budget to calculate quantities, shipping groups, total costs, and money remaining.
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