Virginia SOL 8.PFA.5.b
The Standard
Represent solutions to inequalities algebraically and graphically using a number line.
Virginia Standards of Learning for Mathematics · The student will write and solve multistep linear inequalities in one variable, including problems in context that require the solution of a multistep linear inequality in one variable.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students show solution sets with inequality symbols and number-line graphs. They use open or closed points and shade in the correct direction.
What Mastery Looks Like
- Students correctly match an inequality to a number-line graph and convert a graph back to inequality notation. They choose the correct endpoint and shading direction, including with negative boundary values.
Common Misconceptions
- Students may use a closed point for < or >, or an open point for ≤ or ≥. They may shade in the wrong direction or misplace negative numbers on the number line.
How to Assess It
- Give this exit ticket: Graph x > -2, then write the inequality represented by a closed point at 4 shaded left.
Lesson moves
Ways to Teach It
Make a floor number line with tape, then have students place endpoint cards and stand on every value included in a given inequality.
Ask students to explain why x < 5 uses an open point and x ≤ 5 uses a closed point.
Play a matching game with cards showing inequalities, number-line graphs, and verbal descriptions of solution sets.
Use a $40 spending limit, and have students write and graph the possible amounts they can spend.
Free download
Printable 8.PFA.5.b Worksheet
A ready-to-print activity worksheet aligned to 8.PFA.5.b, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetKeep exploring
Related Standards
- 6.PFA.4.c
Given a linear inequality in one variable, create a corresponding contextual situation or create a number line graph.
- 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.c
Represent solutions to one- or two-step linear inequalities in one variable algebraically and graphically using a number line.
- 6.PFA.4.a
Given the graph of a linear inequality in one variable on a number line, represent the inequality in two equivalent ways (e.g., x < -5 or -5 > x) using symbols....
Turn this exact standard into a lesson
Grade, subject, topic, and the complete standard are prefilled. Create one free, no account needed.