MMA.MATH.8.A

Determine the number of ways an event may occur using combinations, permutations, and the Fundamental Counting Principle.

Mathematical Models with Applications · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

AI-generated as a starting point — sign in to edit.
Vocabulary
eventcombinationspermutationsFundamental Counting Principlenumber of ways
Skills
  • determine (the number of ways an event may occur using combinations) #dok2
  • determine (the number of ways an event may occur using permutations) #dok2
  • determine (the number of ways an event may occur using the Fundamental Counting Principle) #dok2
  • distinguish (between combinations and permutations in problem contexts) #dok2
  • apply (counting techniques to real-world and theoretical problems) #dok3
Learning Targets
  • I can list all possible outcomes for simple events. #dok1
  • I can identify whether a situation involves a combination or a permutation. #dok2
  • I can determine the number of ways an event may occur using combinations. #dok2
  • I can determine the number of ways an event may occur using permutations. #dok2
  • I can determine the number of ways an event may occur using the Fundamental Counting Principle. #dok2
  • I can solve real-world problems involving choices or arrangements using counting techniques. #dok3
  • I can justify my choice of a counting method and explain my reasoning. #dok3
Big Ideas
  • The number of ways an event can happen can be systematically determined using mathematical counting techniques.
  • Different counting methods, such as combinations, permutations, and the Fundamental Counting Principle, are used based on the context of order and selection.
Essential Questions
  • How do you determine which counting method to use for a given situation?
  • What is the difference between a combination and a permutation?
  • How does the Fundamental Counting Principle help to count outcomes efficiently?
  • How can understanding counting techniques help solve real-life problems involving choices or arrangements?
  • Why is it important to distinguish between situations where order does or does not matter?