Virginia SOL 4.CE.2.i
The Standard
Apply strategies (e.g., rounding, compatible numbers, place value) and algorithms, including the standard algorithm, to estimate and determine the quotient of two whole numbers, given a one-digit divisor and a two- or three-digit dividend, with and without remainders.*
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 estimate quotients using rounding, compatible numbers, or place value. They calculate exact quotients for two-digit and three-digit dividends, including problems with remainders. They check whether answers are reasonable.
What Mastery Looks Like
- Students choose a useful estimate, then find the exact quotient with an efficient method or the standard algorithm. They place quotient digits correctly and write valid remainders. They use multiplication to check the result.
Common Misconceptions
- Students may divide each digit separately without regrouping or place quotient digits in the wrong place. They may report a remainder equal to or greater than the divisor. Some confuse an estimate with the exact answer.
How to Assess It
- Ask: “Estimate and solve 745 ÷ 6. Show your estimate, exact quotient with remainder, and a multiplication check.”
Lesson moves
Ways to Teach It
Use base-ten blocks to model 156 ÷ 4, regrouping hundreds and tens, then record each step beside the model.
Ask students to explain why 720 is a useful compatible number for estimating 738 ÷ 6.
Draw dividend and divisor cards, then earn points for a reasonable estimate, correct quotient, and valid remainder.
Pack 287 cans into boxes of eight, then find the estimated and exact numbers of full boxes and leftover cans.
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Printable 4.CE.2.i Worksheet
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Related Standards
- 4.CE.1.c
Apply strategies (e.g., place value, properties of addition, other number relationships) and algorithms, including the standard algorithm, to determine the sum ...
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Apply strategies (e.g., rounding to the nearest whole number, using compatible numbers) and algorithms, including the standard algorithm, to estimate and determ...
- 4.CE.1.b
Apply strategies (e.g., rounding to the nearest 100 or 1,000, using compatible numbers, other number relationships) to estimate a solution for single-step or mu...
- 5.CE.3.c
Estimate and determine the quotient of two numbers using strategies and algorithms, including the standard algorithm, in which:*
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