- Introduction to Counting Methods
- Lesson 1: Counting Principles Notes
- Lesson 2: Introducing Permutations and Factorial Notation
- Lesson 3: Permutations When All Objects are Distinguishable
- Lesson 4: Permutations When Objects are Identical
- Lesson 5: Exploring Combinations
- Lesson 6: Combinations
- Lesson 7: Solving Counting Problems
- Student Exemplars
- Unit Shared Resources
- Summative Assessments
Counting Methods Unit Plan
Permutations When Objects are Identical
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.
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.
5.6 Determine the number of permutations of n elements taken n at a time where some elements are not distinct.
5.7 Explain, using examples, the effect on the total number of permutations of n elements when two or more elements are identical.
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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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Videos:
Permutations When Objects Are Identical -- (Youtube)
Route Problems -- (Youtube)