NY Next Generation Math NY-7.EE.4.b
The Standard
Solve word problems leading to inequalities of the form px + q > r, px + q ≥ r, px + q ≤ r, or px + q < r, where p, q, and r are rational numbers. Graph the solution set of the inequality on the number line and interpret it in the context of the problem.
New York State Next Generation Mathematics Learning Standards
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students write and solve one-variable inequalities from word problems with rational numbers. They graph the solution set on a number line and explain what the boundary and direction mean.
What Mastery Looks Like
- The student solves an inequality shaped like px + q greater than, less than, or equal to r. The student uses the correct endpoint symbol and interprets allowable values in context.
Common Misconceptions
- Students may treat an inequality as having one answer instead of a set of solutions. They may reverse the inequality incorrectly or graph an open endpoint when equality is allowed.
How to Assess It
- A student has $20 and saves $4 weekly toward at least $52. Ask for an inequality, its number-line graph, and the least whole number of weeks.
Lesson moves
Ways to Teach It
Use a floor number line and endpoint cards to model solution sets for contextual inequalities.
Ask students to explain how at least and more than change the endpoint and inequality symbol.
Play solution-set match with situation, inequality, and number-line graph cards.
Set a spending limit with a fixed fee and per-item cost, then graph the possible item counts.
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- NY-7.EE.4.a
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