ALG2.MATH.1.B

Use a problem-solving model that incorporates analyzing given information, formulating a plan or strategy, determining a solution, justifying the solution, and evaluating the problem-solving process and the reasonableness of the solution.

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

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Vocabulary
problem-solving modelanalyzing given informationplanstrategysolutionjustifying the solutionevaluatingproblem-solving processreasonablenesssolution
Skills
  • analyze (given information in a problem) #dok2
  • formulate (a plan or strategy to solve a problem) #dok3
  • determine (a solution to a problem) #dok2
  • justify (the solution to a problem) #dok3
  • evaluate (the problem-solving process and reasonableness of the solution) #dok3
Learning Targets
  • I can identify and analyze all relevant information in a given problem. #dok2
  • I can formulate a plan or strategy to solve a mathematical problem. #dok3
  • I can determine an accurate solution to a problem using a chosen strategy. #dok2
  • I can justify my solution to a problem using appropriate mathematical reasoning. #dok3
  • I can evaluate the steps taken in the problem-solving process for accuracy and efficiency. #dok3
  • I can assess whether my solution to a problem is reasonable in the given context. #dok3
Big Ideas
  • Effective problem solving in mathematics involves a structured process that includes analyzing, planning, solving, justifying, and evaluating.
  • Justifying and evaluating solutions strengthens mathematical reasoning and ensures solutions are reasonable within a given context.
Essential Questions
  • What steps make up an effective mathematical problem-solving process?
  • How can you determine if your solution to a problem is reasonable?
  • Why is it important to justify your solution in mathematics?
  • How can evaluating your problem-solving process help you improve your mathematical thinking?
  • In what ways can a problem-solving model be applied across different types of mathematical problems?