Virginia SOL 7.PFA.4.d
The Standard
Write one- or two-step linear inequalities in one variable to represent a verbal situation, including those in context.
Virginia Standards of Learning for Mathematics · The student will write and solve one- and two-step linear inequalities in one variable, including problems in context, that require the solution of a one- and two-step linear inequality in one variable.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students identify an unknown quantity, choose a variable, and turn a verbal situation into a one-step or two-step inequality. They use symbols such as <, >, ≤, and ≥ to show limits or ranges.
What Mastery Looks Like
- Students define the variable and translate fixed costs, rates, and limits into one inequality. They choose the correct symbol and can explain what each part represents in the situation.
Common Misconceptions
- Students often switch the symbols for “at least” and “at most.” They may write an equation instead of an inequality, reverse quantities in phrases like “five less than,” or omit a fixed fee.
How to Assess It
- Use this exit ticket: “A skating rink charges $8 admission plus $3 per game. You can spend at most $35. Define a variable and write an inequality.”
Lesson moves
Ways to Teach It
Give pairs cups and counters to model a fixed amount, a repeated amount, and a limit, then write the matching inequality.
Ask students to compare “at least 12 points” and “at most 12 points,” then explain how each phrase changes the inequality symbol.
Play a card match game using situation cards, inequality cards, and verbal phrase cards such as “fewer than” and “no more than.”
Have students create a budget inequality for a class party using a room fee, cost per person, and a spending limit.
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Related Standards
- 7.PFA.3.d
Write a two-step linear equation in one variable to represent a verbal situation, including those in context.
- 6.PFA.3.e
Write a one-step linear equation in one variable to represent a verbal situation, including those in context.
- 8.PFA.4.c
Write a multistep linear equation in one variable to represent a verbal situation, including those in context.
- 8.PFA.5.c
Write multistep linear inequalities in one variable to represent a verbal situation, including those in context.
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