CCSS.Math.Content.6.EE.B
The standard
Reason about and solve one-variable equations and inequalities.
Common Core State Standards for Mathematics
What this standard means
Students need to use variables to represent unknown numbers, write equations or inequalities from situations, and solve for the value or possible values. They should understand solving as keeping both sides balanced, not just moving symbols around.
Mastery looks like a student can explain each step, check a solution in the original statement, and show inequality answers on a number line. Common trouble spots are reversing inequality signs, treating an inequality like it has one answer, and writing an equation from a word problem with the operation in the wrong order.
Ways to teach it
- Hands-on activity: Give students balance scales, cups, and counters to model x + 4 = 10, then record the matching algebra steps.
- Discussion prompt: Ask, “How is solving x + 3 = 8 different from solving x + 3 > 8?” and have partners justify.
- Quick assessment: Use three exit tickets: solve 2x = 14, graph x < 5, and write an inequality for “more than 12 dollars.”
- Real-world connection: Have students write and solve an inequality for a phone plan budget with a fixed fee plus cost per text.
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Related standards
- CCSS.Math.Content.HSA-REI.B
Solve equations and inequalities in one variable
- CCSS.Math.Content.HSA-CED.A.1
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rati...
- CCSS.Math.Content.8.EE.C.7
Solve linear equations in one variable.
- CCSS.Math.Content.HSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.