Virginia SOL 6.PFA.4.e
The Standard
Identify a numerical value(s) that is part of the solution set of a given inequality in one variable.
Virginia Standards of Learning for Mathematics · The student will represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students substitute given numbers for the variable and decide whether the resulting statement is true. They identify all values from a list that belong to the solution set.
What Mastery Looks Like
- Students correctly test whole numbers, decimals, fractions, and negative numbers by substitution. They identify every value that works and explain why the boundary is included or excluded.
Common Misconceptions
- Students may treat the inequality like an equation and look for only one answer. They often confuse < with ≤ and include or exclude the boundary incorrectly. Some compare negative numbers incorrectly after substituting.
How to Assess It
- Give this exit ticket: For 4x - 3 < 13, circle every solution from 0, 3, 4, and 5. Show one substitution that proves your answer.
Lesson moves
Ways to Teach It
Give pairs value cards and inequality mats; students substitute each card, then sort cards under Makes True or Makes False.
Ask, “Is the boundary value always a solution?” Students compare x < 6 and x ≤ 6, then write a two-sentence rule.
Run a card sort relay where teams match inequalities with candidate values that make each statement true.
A club has $30 for six identical snacks; students test several snack prices in 6p ≤ 30 and identify affordable choices.
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Related Standards
- 8.PFA.5.f
Identify a numerical value(s) that is part of the solution set of a given inequality.
- 6.PFA.4.d
Use substitution or a number line graph to justify whether a given number in a specified set makes a linear inequality in one variable true.
- 7.PFA.4.f
Solve problems in context that require the solution of a one- or two-step inequality.
- 7.PFA.4.g
Identify a numerical value(s) that is part of the solution set of as given one- or two-step linear inequality in one variable.
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