# Calculating Permutations Lesson Plan

Instructor: John Hamilton

John has tutored algebra and SAT Prep and has a B.A. degree with a major in psychology and a minor in mathematics from Christopher Newport University.

Educate your students on how to calculate a permutation with this helpful lesson plan. They will watch a video lesson about permutations, participate in a hands on activity, and take an accompanying quiz on permutations to reinforce concepts.

## Learning Objectives

After studying this lesson on permutations your students will be able to:

• Define a permutation and explain how to calculate one
• Explain what a factorial is and its relation to permutations
• Solve some actual permutation and factorial problems

1 - 1.25 Hours

## Curriculum Standards

CCSS.MATH.CONTENT.HSS.MD.A.3

(+) Develop a probability distribution for a random variable defined for a sample space in which theoretical probabilities can be calculated; find the expected value. For example, find the theoretical probability distribution for the number of correct answers obtained by guessing on all five questions of a multiple-choice test where each question has four choices, and find the expected grade under various grading schemes.

## Instructions

• Let your students know they will be studying permutations, and how to calculate them.
• Ask your students if they are familiar with permutations, or if they have studied them in the past.
• Read the short introduction to the video lesson.
• Start the video How to Calculate a Permutation and pause for the first time at 2:45.
• How are permutations and factorials related?
• If you were playing a new card game where you were dealt eight cards, how many possible ways could you arrange your cards?
• Next, restart the video and pause for a second time at 5:53.
• How do you write the notation for permutations?
• If a snack bar had 10 pizza toppings, but this time it offered a maximum of five toppings instead of four toppings, how many types of pizza would be offered?
• Restart the video and view the 'Lesson Summary' section on permutations.
• Lastly, administer the lesson quiz to your students to determine the extent of their newly acquired knowledge.

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