Virginia SOL 6.PFA.4.c
The Standard
Given a linear inequality in one variable, create a corresponding contextual situation or create a number line graph.
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 turn a one-variable inequality into a matching real-life situation or number line graph. They show whether the boundary is included and which values make the inequality true.
What Mastery Looks Like
- Students write a believable situation that matches the variable, boundary value, direction, and inclusion of the boundary. They graph the inequality with the correct circle and shading.
Common Misconceptions
- Students may reverse the inequality symbol or shade the wrong direction. They may use a closed circle for < or >, or an open circle for ≤ or ≥. Contexts may also leave out whether the boundary value is included.
How to Assess It
- Give students x ≤ 7. Ask them to draw its number line graph and write a one-sentence situation it could represent.
Lesson moves
Ways to Teach It
Tape a number line on the floor, give students inequality cards, and have them place a circle marker and shade with yarn.
Ask, “How are x < 12 and x ≤ 12 different?” Students explain using an age, height, or cost example.
Play a matching game with sets of inequality cards, number line graphs, and situation cards, then have students justify each match.
Use a $30 spending limit and item prices to model how much money a shopper can spend with an inequality and graph.
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Related Standards
- 7.PFA.4.e
Create a verbal situation in context given a one or two-step linear inequality in one variable.
- 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.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.
- 6.PFA.4
The student will represent a contextual situation using a linear inequality in one variable with symbols and graphs on a number line.
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