8adv.MATH.5.B
Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.
Grade 8 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
linear equationsone variabledistributive propertyvariablesboth sideslinear inequalitiessolution
Skills
- solve (linear inequalities in one variable, including those requiring the distributive property and those with variables on both sides) #dok2
- apply (the distributive property when solving linear inequalities) #dok1
- evaluate (the reasonableness of a solution to a linear inequality) #dok3
- represent (solutions of linear inequalities using appropriate notation) #dok2
Learning Targets
- I can apply the distributive property when solving linear inequalities in one variable. #dok1
- I can solve linear inequalities in one variable, even when variables appear on both sides. #dok2
- I can solve linear inequalities that require the use of the distributive property. #dok2
- I can represent the solution to a linear inequality with appropriate notation. #dok2
- I can evaluate whether my solution to a linear inequality is reasonable in the context of a problem. #dok3
Big Ideas
- Solving linear inequalities in one variable requires understanding and applying key algebraic properties.
- Evaluating solutions to inequalities involves both procedural fluency and reasoning about the context and results.
Essential Questions
- How can I use properties of equality and inequality to solve linear inequalities with variables on both sides?
- What role does the distributive property play in solving linear inequalities?
- How do I represent the solution set of a linear inequality?
- How can I check if my solution to a linear inequality is reasonable?
- What is the difference between solving linear equations and inequalities?