8.MATH.8.C

Model and solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems using rational number coefficients and constants.

Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
one-variable equationsvariablesequal signmathematical problemsreal-world problemsrational number coefficientsconstantsmodelsolve
Skills
  • model (one-variable equations with variables on both sides representing problems) #dok2
  • solve (one-variable equations with variables on both sides representing problems) #dok2
  • apply (rational number coefficients and constants in equation modeling and solving) #dok2
  • interpret (solutions in the context of mathematical and real-world problems) #dok3
Learning Targets
  • I can identify one-variable equations with variables on both sides of the equal sign. #dok1
  • I can recognize rational number coefficients and constants in equations. #dok1
  • I can model mathematical and real-world problems with one-variable equations that have variables on both sides of the equal sign. #dok2
  • I can solve one-variable equations with variables on both sides of the equal sign that represent mathematical and real-world problems. #dok2
  • I can apply rational number coefficients and constants to model and solve equations. #dok2
  • I can interpret the meaning of the solution to an equation in the context of a mathematical or real-world problem. #dok3
  • I can justify my steps and solutions when solving one-variable equations with variables on both sides. #dok3
Big Ideas
  • Solving equations with variables on both sides is an essential skill for modeling and solving real-life and mathematical problems.
  • Understanding how to represent and solve problems with rational number coefficients and constants deepens algebraic reasoning and problem-solving abilities.
Essential Questions
  • How can we represent a real-world situation with an equation that has variables on both sides?
  • What strategies can we use to solve one-variable equations with variables on both sides of the equal sign?
  • Why is it important to use equations with rational number coefficients and constants when modeling real problems?
  • How can we be sure our solution makes sense in the context of the original problem?
  • What steps can we take to check and justify our solutions to equations with variables on both sides?