Virginia SOL 6.PFA.3.f
The Standard
Create a verbal situation in context given a one-step linear equation in one variable.
Virginia Standards of Learning for Mathematics · The student will write and solve one-step linear equations in one variable, including contextual problems that require the solution of a one-step linear equation in one variable.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students interpret the variable, numbers, operation, and equal sign in an equation. They write a believable situation where the quantities and relationship match every part of the equation.
What Mastery Looks Like
- A student writes a realistic situation that matches the operation and equality exactly. The student names the unknown, assigns sensible units, and can show how each part of the equation appears in the situation.
Common Misconceptions
- Students may reverse division, so x ÷ 4 = 6 becomes 4 ÷ x = 6 in their story. They may also mismatch operations, omit what the variable represents, or use quantities with incompatible units.
How to Assess It
- Give students 3x = 24 and ask: “Write a two-sentence situation. State what x, 3, and 24 represent.”
Lesson moves
Ways to Teach It
Build 4x = 20 with cups and counters, then have students write a matching story and define x.
Compare two stories for x − 5 = 12, discuss which one matches, and revise the other story.
Give teams equation and story cards to match, then award a point when they explain each match correctly.
Use 5x = 30 to write a store purchase situation, naming the item price, quantity, and total cost.
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Printable 6.PFA.3.f Worksheet
A ready-to-print activity worksheet aligned to 6.PFA.3.f, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 8.PFA.4.d
Create a verbal situation in context given a multistep linear equation in one variable.
- 6.PFA.3.e
Write a one-step linear equation in one variable to represent a verbal situation, including those in context.
- 8.PFA.5.d
Create a verbal situation in context given a multistep linear inequality in one variable.
- 7.PFA.3.e
Create a verbal situation in context given a two-step linear equation in one variable.
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