CCSS.Math.Content.6.EE.B.8
The standard
Write an inequality of the form x > c or x < c to represent a constraint or condition in a real-world or mathematical problem. Recognize that inequalities of the form x > c or x < c have infinitely many solutions; represent solutions of such inequalities on number line diagrams.
Common Core State Standards for Mathematics · Expressions and Equations
What this standard means
Students need to turn a condition into a simple inequality, using symbols like x > 8 or x < 15. They also need to show that many numbers can make the statement true, not just one answer. Number lines should use an open circle and shading in the correct direction.
Mastery looks like choosing the correct symbol, explaining what the variable means, naming several possible solutions, and graphing them accurately. Students often mix up greater than and less than, shade the wrong way, or think the boundary number is included when the circle should be open.
Ways to teach it
- Give students cards with situations like age limits or height rules, and have them build matching inequalities with number line strips.
- Ask students to write about this prompt: How is x < 10 different from x = 10 in a real situation?
- Show four inequality graphs and have students match each to x > 3, x < 3, x > 7, or x < 7.
- Use a ride height sign or speed limit sign and ask students to write and graph the matching inequality.
Plan a lesson for CCSS.Math.Content.6.EE.B.8
Generate a complete lesson plan aligned to this standard, with objectives, activities, and materials. Free, no account needed.
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