CCSS.Math.Content.7.EE.B.4b
The standard
Solve word problems leading to inequalities of the form px + q > r or px + q < r, where p, q, and r are specific rational numbers. Graph the solution set of the inequality and interpret it in the context of the problem.
Common Core State Standards for Mathematics
What this standard means
Students need to turn a word problem into a one-variable inequality, solve it, graph the solution on a number line, and explain what the answer means in the story. They should handle rational numbers, including decimals, fractions, and negative values when needed.
Mastery looks like choosing the correct inequality sign, solving with inverse operations, using an open or closed circle when appropriate, and giving a context-based answer like “at least 17 tickets.” Students often mix up greater than and less than, forget to reverse the sign when multiplying or dividing by a negative, or graph only one value instead of all possible solutions.
Ways to teach it
- Hands-on: Give pairs story cards, number lines, and inequality tiles, then have them build, solve, and graph each situation.
- Writing prompt: Ask students to explain why “x > 12” may mean 13 or more in a ticket problem but not in a money problem.
- Quick assessment: Use an exit ticket with one word problem, asking for the inequality, solution, graph, and one sentence interpretation.
- Real-world connection: Have students write and solve an inequality for a phone plan, school fundraiser, or weekly allowance goal.
Plan a lesson for CCSS.Math.Content.7.EE.B.4b
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Related standards
- CCSS.Math.Content.7.NS.A.3
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