Maryland Math 6.AT.C.9
The Standard
Write an inequality of the form x > c (using ≥, >, ≤, <) represent a constraint or condition in context. Recognize that inequalities of this form have infinitely many solutions; represent solutions of such inequalities on number lines.
Maryland College and Career Ready Standards for Mathematics (2025) · REASON ABOUT AND SOLVE ONE-VARIABLE EQUATIONS AND INEQUALITIES
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn a condition, such as a ride requiring a height of at least 120 cm, into an inequality. They show all its solutions on a number line and explain why there are infinitely many.
What Mastery Looks Like
- Given 'the temperature is below 20°C,' a student writes t < 20, puts an open circle at 20, and shades left. They use a filled circle when the boundary value counts.
Common Misconceptions
- Students may read 'at least' as > instead of ≥, or use a filled circle when the boundary value does not count. Some shade in the wrong direction or think a few example values are the only solutions.
How to Assess It
- Exit ticket: 'A freezer must stay at or below −18°C. Write an inequality for its temperature, graph the solutions, and explain how many solutions there are.'
Lesson moves
Ways to Teach It
Tape a number line on the floor; students place a filled paper circle at 4 and lay an arrow to show x ≥ 4.
Ask: 'Does exactly 12 count if a ride says at least 12 years old?' Students write the inequality and explain their circle.
Pairs match four phrase cards ('below 8,' 'at least 8,' 'above 8,' 'at most 8') with inequality and number line cards.
Show a weather alert for temperatures below 0°C; students write an inequality and graph the temperatures that trigger it.
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Related Standards
- 7.AT.C.9
Use variables to represent quantities and write and solve inequalities to model and reason about constraints and conditions in context.
- 7.AT.C.9.b
Solve inequalities of these forms and graph the solution set on a number line.
- 6.AT.C.10.b
Write and solve one-step inequalities of the form x + p > q, x − p > q, px > q and x/p > q (using ≥, >, ≤, <) where p and q are nonnegative rational numbers.
- 6.AT.C.10.c
Represent solutions of such inequalities on a number line.
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