CCSS.Math.Content.HSA-CED.A.1
The standard
Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.
Common Core State Standards for Mathematics
What this standard means
Students need to turn a situation into one equation or inequality with one unknown, then solve it and explain what the answer means. They should handle linear, quadratic, simple rational, and exponential situations, not just plug numbers into a given formula.
Mastery looks like choosing the right variable, writing a matching equation or inequality, solving accurately, and checking the answer in context. Students often get stuck deciding what the variable represents, mixing up quantities and rates, or accepting answers that do not make sense for the problem.
Ways to teach it
- Hands-on activity: Give pairs price tags, coupons, and a budget card, then have them write and solve one-variable inequalities for shopping choices.
- Writing prompt: Ask students to describe a situation where a quadratic equation would fit better than a linear equation, and explain why.
- Quick assessment: Give four word problems and ask students to write only the equation or inequality, no solving, then check variable definitions.
- Real-world connection: Use phone plan costs, gym fees, loan payments, or bacteria growth to model when one option becomes cheaper or larger.
Plan a lesson for CCSS.Math.Content.HSA-CED.A.1
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Related standards
- CCSS.Math.Content.HSA-REI.B
Solve equations and inequalities in one variable
- CCSS.Math.Content.7.EE.B
Solve real-life and mathematical problems using numerical and algebraic expressions and equations.
- CCSS.Math.Content.6.EE.B
Reason about and solve one-variable equations and inequalities.
- CCSS.Math.Content.HSA-REI.B.3
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.