Maryland Math 6.AT.C.10.c

Math6th GradeAlgebraic Thinking

The Standard

6.AT.C.10: Solve problems in context by writing and solving inequalities and interpreting solution sets in context.

Represent solutions of such inequalities on a number line.

Maryland College and Career Ready Standards for Mathematics (2025) · REASON ABOUT AND SOLVE ONE-VARIABLE EQUATIONS AND INEQUALITIES

Teacher's field guide

What Students Need to Do: Students show all the solutions to a one-variable inequality on a number line. They mark the cutoff with an open or filled circle, then shade in the right direction.
What Mastery Looks Like: Given x ≤ 4, a student puts a filled circle at 4 and shades left. They can explain why 4 and 3 work but 5 does not. They can also graph inequalities with negative cutoffs.
Common Misconceptions: Students may fill the circle for < or >, even though the cutoff does not count. They may shade the wrong direction or mark only whole numbers instead of the full ray.
How to Assess It: Exit ticket: Draw the solutions to x > -2 and x ≤ 3 on separate number lines. Name one value that works for each inequality.

Lesson moves

Tape a number line to the floor; students mark 2, then lay yarn to show every solution to x ≥ 2.
Show an open circle at 3 shaded left; ask, 'Does 3 work? Does 2.5? Explain both.'
Give pairs inequality cards for x < -1, x ≥ 4, and x > 0 to match with number line sketches.
Set a ride height rule of at least 48 inches; students graph allowed heights and explain whether 48 counts.

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