Florida B.E.S.T. MA.912.AR.2.6
The Standard
Given a mathematical or real-world context, write and solve one-variable linear inequalities, including compound inequalities. Represent solutions algebraically or graphically.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students turn limits and conditions into one-variable inequalities, then isolate the variable using inverse operations. They express the solution with inequality notation and graph it on a number line.
What Mastery Looks Like
- Students choose the correct inequality symbols from context clues such as “at most,” “more than,” and “between.” They solve accurately, use open or closed endpoints correctly, and shade the matching part of a number line.
Common Misconceptions
- Students often forget to reverse the inequality sign when multiplying or dividing by a negative number. They may confuse “and” with “or,” or use a closed circle for a value not included in the solution.
How to Assess It
- Give this exit ticket: “A machine is safe when 36 ≤ 2t + 6 < 50. Solve for t and graph the solution.”
Lesson moves
Ways to Teach It
Make a masking-tape number line, then have students place endpoint cards and use yarn to show each solution set.
Ask students to correct the claim, “Dividing both sides by a negative number keeps the inequality sign unchanged,” and explain their reasoning.
Play a matching game with cards showing contexts, inequalities, solved forms, and number-line graphs.
Give students a phone plan with a monthly fee, per-gigabyte charge, and spending limit, then have them find allowable data use.
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