Virginia SOL 5.CE.3.e
The Standard
Solve single-step contextual problems involving division with decimals by applying strategies (e.g., estimation, modeling) and algorithms, including the standard algorithm.
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 identify when a situation calls for division, estimate the result, and find the quotient using a model or written method. They interpret the answer in context and use the estimate to check that it makes sense.
What Mastery Looks Like
- A student can solve a problem such as sharing 18.75 liters equally among 5 containers and label the quotient in liters. The student uses an estimate or model to check the decimal placement and explains the calculation clearly.
Common Misconceptions
- Students may place the decimal point in the quotient incorrectly or apply addition rules by lining up decimal points. They may choose the wrong operation or give a number without the correct unit. Some accept an unreasonable quotient without comparing it to an estimate.
How to Assess It
- Give this exit ticket: “Four friends share $27.60 equally. How much does each friend get? Estimate, solve, and explain why your answer is reasonable.”
Lesson moves
Ways to Teach It
Use base-ten blocks or decimal grids to model 6.4 divided equally among 4 groups, then connect the model to written division.
Ask students to explain whether $7.50 shared among 3 people should give each person more or less than $3.
Play Estimate, Solve, Check with decimal division cards, awarding one point for a reasonable estimate and one for an accurate quotient.
Compare grocery unit prices by dividing each package price by its number of ounces, then identify the better buy.
Free download
Printable 5.CE.3.e Worksheet
A ready-to-print activity worksheet aligned to 5.CE.3.e, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 4.CE.4.b
Estimate, represent, solve, and justify solutions to single-step and multistep contextual problems using addition and subtraction of decimals through the thousa...
- 4.CE.2.j
Estimate, represent, solve, and justify solutions to single-step contextual problems involving division with whole numbers.
- 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...
- 5.CE.3.a
Apply estimation strategies (e.g., rounding to the nearest whole number, tenth or hundredth; compatible numbers, place value) to determine a reasonable solution...
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.