GEOM.MATH.13.A

Develop strategies to use permutations and combinations to solve contextual problems.

Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

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Vocabulary
strategiespermutationscombinationscontextual problems
Skills
  • develop (strategies for solving problems using permutations and combinations) #dok3
  • use (permutations to solve contextual problems) #dok2
  • use (combinations to solve contextual problems) #dok2
  • distinguish (between permutations and combinations in problem situations) #dok2
Learning Targets
  • I can define permutations and combinations and explain the difference between them. #dok1
  • I can identify when to use a permutation or a combination in a real-world problem. #dok2
  • I can use permutations to solve contextual problems involving arrangements where order matters. #dok2
  • I can use combinations to solve contextual problems involving selections where order does not matter. #dok2
  • I can develop a strategy to solve complex real-world problems using permutations and/or combinations. #dok3
Big Ideas
  • Permutations and combinations are mathematical tools for solving real-world counting and probability problems related to arrangements and selections.
  • Choosing the correct strategy between permutations and combinations is crucial for accurately solving problems in a variety of contexts.
Essential Questions
  • How do I determine whether to use a permutation or a combination to solve a problem?
  • What is the difference between an arrangement (permutation) and a selection (combination)?
  • How can permutations and combinations be applied to real-world situations?
  • What strategies can I use to break down complex problems involving counting and probability?
  • Why is it important to distinguish between situations where order matters and where it does not?