ALG1.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.

Algebra I · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

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Vocabulary
linear inequalitiesvariabledistributive propertysolution
Skills
  • solve (linear inequalities in one variable where distributive property is needed) #dok2
  • solve (linear inequalities in one variable with variables on both sides) #dok2
  • apply (distributive property in the context of inequalities) #dok1
  • interpret (solutions to linear inequalities in context) #dok2
  • evaluate (reasonableness of solutions for linear inequalities) #dok3
Learning Targets
  • I can apply the distributive property to simplify a linear inequality in one variable. #dok1
  • I can solve linear inequalities in one variable when variables are found on both sides of the inequality. #dok2
  • I can solve linear inequalities in one variable that require the use of the distributive property. #dok2
  • I can interpret the solution set of a linear inequality in one variable and explain what it means. #dok2
  • I can evaluate the reasonableness of a solution to a linear inequality in one variable. #dok3
Big Ideas
  • Inequalities in one variable can be solved using algebraic methods similar to equations, but require attention to unique rules, such as reversing the inequality when multiplying or dividing by a negative.
  • Solving linear inequalities is essential for modeling and making decisions in real-life situations where solutions are ranges rather than specific values.
Essential Questions
  • How is solving an inequality in one variable similar to and different from solving an equation?
  • Why is it important to use the distributive property accurately when solving linear inequalities?
  • What does the solution set of a linear inequality in one variable represent?
  • How can you check if your solution to an inequality is reasonable or correct?
  • When might you encounter situations in real life that are best modeled with linear inequalities?