Lesson 5: 8.5 Counting Principles
Duration of Days: 2
Lesson Objective
1. Solve simple counting principles.
2. Use the Fundamental Counting Principle to solve more complicated counting problems.
3. Use permutations to solve counting problems.
4. Use combinations to solve counting problems.
How do you count the number of ways in which an event can occur?
Fundamental Counting Principle
permutation
distinguishable permutations
HSA-CP.B.9: Use permutations and combinations to compute probabilities of compound events and solve problems.
Use Khan Academy Resources
Students will learn about the fundamental principle of counting, which will prepare them for probability in the next section. They will visualize some real life applications of determining the number of ways and event can occur.
You can use counting principles to solve counting problems that occur in real life. One example is to use counting principles to determine how many ways a player can select six numbers in a Powerball lottery.
Some students have a hard time determining the difference between a combination and a permutation.
For low level learners, allow them the materials to physically act out certain scenarios, like when there are 5 letters placed on 5 pieces of paper and put in to a hat. Two letters will be picked, show them the difference of "with replacement" and "without replacement."
Use Common Assessments
Pre-Calculus with Limits Resources.