Virginia SOL 6.PFA.4.d
The Standard
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.
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 test a given value by substituting it into a one-variable linear inequality and checking whether the comparison is true. They can also use a number line graph to justify whether the value is included in the solution set.
What Mastery Looks Like
- Students substitute the given value, simplify both sides, and state whether the resulting comparison is true. They can also use a correct number line graph to show whether the value belongs to the solution set.
Common Misconceptions
- Students may reverse the inequality sign during substitution or treat it like an equals sign. They may also confuse open and closed circles or shade the wrong direction on a number line.
How to Assess It
- Exit ticket: From {-2, 0, 3, 5}, decide whether 3 makes 2x - 1 < 7 true. Justify with substitution or a number line graph.
Lesson moves
Ways to Teach It
Place integer cards on a taped number line, then test each card in 2x + 1 ≤ 9 and sort solutions from non-solutions.
Write which values from {0, 1, 2, 3, 4, 5} satisfy 3x > 9, and explain using substitution.
Play Inequality Match: pair value cards with true substitution statements or matching number line graphs, earning a point for each justification.
Use a $30 budget and $6 ticket price to test which ticket counts satisfy 6t ≤ 30.
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Printable 6.PFA.4.d Worksheet
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Related Standards
- 6.PFA.4.b
Write a linear inequality in one variable to represent a given constraint or condition in context or given a graph on a number line.
- 6.PFA.4.c
Given a linear inequality in one variable, create a corresponding contextual situation or create a number line graph.
- 8.PFA.5.b
Represent solutions to inequalities algebraically and graphically using a number line.
- 7.PFA.4.c
Represent solutions to one- or two-step linear inequalities in one variable algebraically and graphically using a number line.
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