Title: Factorial

Authors: Jiajia Garcia (Author)
Years: 2019
Licence: CC BY-NC-SA 4.0

Title

Factorial

Friendly Reminders:

- You need to earn a minimum of 5 points on this activity in order to earn the assignment credit for the course.
- The associated assignment in Lesson 2.2 is called Factorial.
- Estimated time for completion is 10 minutes.

Overview

Credits: by Jiajia Garcia (Author); 2019; licence CC BY-NC-SA 4.0

[Image: Overview]

Overview Info

- Learning Objective:
  - Week 2 LO1: Evaluate factorial, purmutation, and combination. (CLO3)
- Associated Course Learning Outcomes:
  - CLO3: Appropriately select, then correcly apply, rules and/or algorithms to solve simple and multi-step mathematical problems.

Quick Review

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Quick Review

Let's first review the formula for factorial.

Exercise

Fill in the answers.

Q: 7! = [...].

In our Interactive Learning Activity, Uniformity Criterion and Fundamental Counting Principle, we mentioned 0! Do you recall the value?

0! = [...].
A: 5040; 1

Property of Factorial

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Property of Factorial

Order of Operation

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Order of Operation

Practice - 1

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Practice - 1

Practice - 1

Evaluate the expression and fill in the answer. Express your answer in decimal form. Do not round your answer.

Q: The answer is [...].
A: 6.8
[Image: 18!/(15!*6!)]

Practice - 2

Evaluate the expression. Do not round. Fill in the answer.

Q: The answer is [...].
A: 1
[Image: 24/(6-2)!]

Desmos

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Desmos

About Desmos

Some of the computation related to Module 2 materials can be done quickly using a scientific calculator. Instead of purchasing a calculator, we are going to use the free online scientific calculator from desmos. You may also type the web address: https://www.desmos.com/scientific.

For those of you with a smart phone, you may also download the free app. Desmos Graphing Calculator, to your phone to have offline access.

Using Desmos for Factorial

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Using Desmos for Factorial

Using Desmos for factorial

Let’s go over the steps for evaluating 6! using either online calculator or the app.

For online access:

- Option 1: you can simply type in 6!, then ”=720” will show up to the right on the same line.
- Option 2: you can enter 6, then click on “func”, then select “!”.

For app access:

- You may tap 6, then “ABC”, and select “!”. (You may press “123” to go back to the number keyboard.)

Clicking/tapping the return arrow/return key will give you a new line to enter expression.

Evaluate Factorial Using Desmos

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Evaluate Factorial Using Desmos

Evaluate 12! Using Desmos

Use Desmos to evaluate 12!. Enter your answer with no commas in between. For example, enter 50987, not 50,987.

Q: 12! = [...].
A: 479001600

Desmos Online Video

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Desmos Online Video

Watch the video: Introduction to the Desmos Scientific Calculator, by Desmos published on May 9, 2017 to learn how to use more basic features of the calculator.

Credits: by Desmos (Author); source https://www.youtube.com/watch?time_continue=1&v=bFYeJd4_TAM

Practice - 2

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Practice

Practice using Desmos.

Use Desmos to evaluate the expression. Enter your answer with no commas in between. For example, enter 50987, not 50,987.

Q: Answer is [...].
A: 10620
[Image: 24!/((4*5)!(7-3)!)]

Reference

- Mathematical Ideas 13th edition by Charles D. Miller, Vern E. Heeren, John Hornsby, Christopher Heeren.

Please go to the next slide for assignment instructions.

Assignment Instructions

- Please take a screenshot of the next slide, the Summary slide, showing clearly of your achievement for this activity.
- Upload the screenshot to Lesson 2.2 assignment, Factorial, via the link provided right below the activity on the Lesson page or via the Assignment Tool on Laulima.
- Submit your assignment by the due time.