Virginia SOL 5.CE.3.a
The Standard
Apply estimation strategies (e.g., rounding to the nearest whole number, tenth or hundredth; compatible numbers, place value) to determine a reasonable solution for single-step and multistep contextual problems involving addition, subtraction, and multiplication of decimals, and single-step contextual problems involving division of decimals.
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 addition, subtraction, multiplication, and division with decimal numbers.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students estimate answers to decimal word problems before or after calculating. They select rounding, compatible numbers, or place-value reasoning and explain why the result is reasonable.
What Mastery Looks Like
- Students choose a useful strategy, such as rounding or compatible numbers, and calculate an estimate accurately. They explain why the estimate fits the context and use it to check an exact answer.
Common Misconceptions
- Students may give an exact answer when an estimate is requested. They may round every number the same way, even when compatible numbers would make the work easier. Some round too early in a multistep problem and produce an estimate that is not useful.
How to Assess It
- Exit ticket: A class buys 6 notebooks at $2.79 each and markers for $4.65. Estimate the total cost and name the strategy you used.
Lesson moves
Ways to Teach It
Give pairs grocery ads and a $30 budget, then have them estimate which combinations of items they can afford.
Ask, "When is rounding to whole numbers too rough?" Students compare estimates for the same decimal problem and defend the most useful one.
Play Estimate Match with cards showing decimal problems, possible estimates, and strategy names for students to pair correctly.
Have students estimate a restaurant bill for several meals, then compare their estimate with the calculator total.
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Printable 5.CE.3.a Worksheet
A ready-to-print activity worksheet aligned to 5.CE.3.a, with an answer key for the teacher on its own page. No account needed.
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Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition and subtraction of decimals through the thousa...
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Apply strategies (e.g., rounding to the nearest 10, compatible numbers, other number relationships) to estimate a solution for single-step addition or subtracti...
- 5.CE.3.d
Solve single-step and multistep contextual problems involving addition, subtraction, and multiplication of decimals by applying strategies (e.g., estimation, mo...
- 3.CE.1.b
Apply strategies (e.g., rounding to the nearest 10 or 100, using compatible numbers, using other number relationships) to estimate a solution for single-step or...
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