Virginia SOL 5.CE.3

Math5th GradeComputation and Estimation

SOL Standard (Knowledge and Skills Cluster)

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.

Virginia Standards of Learning for Mathematics

Cluster contents

Knowledge and Skills in This Standard

5.CE.3 is a Standards of Learning standard. These are the knowledge and skills expectations under it.

Teacher's field guide

What This Cluster Means

What Students Need to Do

Students estimate decimal answers before calculating. They represent contextual problems with models, equations, or place-value reasoning. They solve with all four operations and justify each answer by comparing it with an estimate.

What Mastery Looks Like

Students choose the correct operations for a context and organize multistep work clearly. They calculate decimal sums, differences, products, and quotients accurately. They use an estimate to check the exact answer and explain why it makes sense.

Common Misconceptions

Students may align final digits instead of decimal points when adding or subtracting. They may assume multiplication always increases a number. In division, they may move the divisor's decimal without making the same change to the dividend.

How to Assess It

Exit ticket: “Mia has $20 and buys 3 notebooks at $4.65 each. Estimate, find her change, and explain why it is reasonable.” Then ask, “Divide 5.4 liters equally among 6 bottles and show your calculation.”

Lesson moves

Ways to Teach It

  1. Give students base-ten grids to model 2.4 × 0.3, then have them match the model to an equation and product.

  2. Ask students to write why 3.8 × 0.6 must be less than 3.8 before calculating.

  3. Play Decimal Target: students draw number cards, build decimal expressions, estimate first, and score when exact answers land near the target.

  4. Use a grocery receipt and $25 budget; students estimate, find the exact total for several items, and calculate the change.

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Printable 5.CE.3 Worksheet

Preview of the 5.CE.3 printable worksheet

A ready-to-print activity worksheet aligned to 5.CE.3, with an answer key for the teacher on its own page. No account needed.

PDF, US Letter, prints cleanly in black and white.

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