Virginia SOL 5.PFA.2.b

Math5th GradePatterns, Functions, and Algebra

The Standard

Write an equation (with a single variable that represents an unknown quantity and one operation) from a contextual situation, using addition, subtraction, multiplication, or division.

Virginia Standards of Learning for Mathematics · The student will investigate and use variables in contextual problems.

Teacher's field guide

What This Standard Means

What Students Need to Do

Students represent a missing amount with a letter. They use details in a story to write an equation showing the relationship among the known and unknown amounts.

What Mastery Looks Like

Students identify the unknown, assign it a letter, and choose the operation that matches the relationship. They write a complete equation and explain what each number and the variable represent.

Common Misconceptions

Students may write an expression without an equals sign or solve for the missing amount instead of writing an equation. They may reverse subtraction or division, use a letter as a label, or choose an operation from a keyword without checking the situation.

How to Assess It

Use this exit ticket: “Maya had 24 stickers and gave some away. She has 17 left. Write an equation using s for the number she gave away.”

Lesson moves

Ways to Teach It

  1. Give pairs counters and story cards, then have them model each story and record a matching equation with a letter.

  2. Ask, “How do you know whether 24 ÷ n = 6 or 24 − n = 6 matches the story?”

  3. Play an equation match game where students pair context cards with equation cards and justify one match to a partner.

  4. Use a grocery receipt with one covered price, then ask students to write an equation that could find the hidden cost.

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Printable 5.PFA.2.b Worksheet

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A ready-to-print activity worksheet aligned to 5.PFA.2.b, with an answer key for the teacher on its own page. No account needed.

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