Solving Counting Problems

Achievement Indicators:

4.1 Represent and solve counting problems, using a graphic organizer.
4.3 Identify and explain assumptions made in solving a counting problem.
4.4 Solve a contextual counting problem, using the fundamental counting principle, and explain the reasoning

5.2 Determine, with or without technology, the value of a factorial.

5.3 Simplify a numeric or an algebraic fraction that contains factorials in both the numerator and denominator.

6.1 Explain, using examples, why order is or is not important when solving problems that involve permutations or combinations.
6.2 Determine the number of combinations of n elements taken r at a time.

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Lesson Links:

• Click here for ERLC Lesson Link. Please use this lesson as a framework for your own teaching environment.
  • Click here for a pdf version of the same ERLC Lesson Link.

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Assessment For Learning Ideas

1.  Row Game: Permutations & Combinations -- (Download: RG-Permutations & Combinations.docx)

Person A solves the problems in column A, while Person B solves the problems in column B.  As you finish each problem, check your answer with the other person.  The answers should be the same!  If they are not, work together to find your mistake.

 

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Videos

Solving Counting Problems -- (Youtube)