Lesson 5 - Rational Functions I

 

Polynomial, Radical, and Rational Functions
Lesson 5 - Rational Functions I

Print:
Full Workbook | Condensed Workbook | Answer Key

Videos:
Lesson Playlist on YouTube

Introduction | Example 1 | Example 2 | Example 3 | Example 4 | Example 5
Example 6 | Example 7 | Example 8 | Example 9 | Example 10

Interactive Graphs:
These are intended to be a visual aid used by teachers while working through examples in the classroom. For example, the teacher may write the algebraic steps on a whiteboard while using a presentation screen to toggle the Desmos graphs on (or off) as the steps are being worked through.

Interactive Demonstration of Rational Function Transformations 1 (Individual Parameters)
Interactive Demonstration of Rational Function Transformations 2 (All Parameters)

Example 1 | Example 2 (a - b) | Example 3 | Example 4 (a - f) | Example 5 (a - d)
Example 6a | Example 6b | Example 6c | Example 6d | Example 7 (a - d) | Example 8 (a - d)
Example 9 (a - d) | Example 10

Comments

Post a Comment

Popular posts from this blog

About Precalculus Archive

This blog is a collection of my precalculus lessons produced between 2010 and 2014. The original math websites relied extensively on Adobe Flash, which meant that as the browser plug-in was eradicated from the web, my websites became unusable. The constant security warnings "This page contains Adobe Flash and may not be secure" really drove away visitors to the websites, and usage was dwindling. Furthermore, as schools were rapidly removing Flash from their computers, Flash-based projects were - for all intents and purposes - depreciated to the digital garbage heap of educational history.  By 2014, it was becoming clear that there was no future for Flash-based development, so I returned to teaching after finishing the Math 10C and Math 30-1 websites. There is no content for Math 20-1. Finally, in 2018 (shortly before Flash was fully banned from browsers),  I pulled the websites off the web rather than face the daunting task of redoing years of work without Flash. While this ...
Read more

Practice Exams, Formula Sheet, and Course Information

Image
  Practice Exams, Formula Sheet, and Course Information Print: Math 30-1 Course Information Sheet  - This introductory overview explains how Math 30-1 can be delivered in an Outreach program. Formula Sheet Polynomial, Radical, and Rational Functions - Practice Exam Transformations and Operations - Practice Exam Exponential and Logarithmic Functions - Practice Exam Trigonometry One - Practice Exam Trigonometry Two - Practice Exam Permutations, Combinations, and The Binomial Theorem - Practice Exam Practice Final Exam One Practice Final Exam Two ------------------------------------------------------------- Quick Links for Practice Exam Solutions All practice exam questions are directly sourced from the workbook and converted to a multiple-choice format. While the video solutions correspond to the original workbook questions, the strategy to find the answer is the same in both formats. Exam One: Polynomial, Rational, and Radical Functions B    Polynomial Functions,...
Read more

Lesson 1 - Exponential Functions

Image
Exponential and Logarithmic Functions Lesson 1 - Exponential Functions Print: Cover Page for Unit Workbook Full Workbook | Condensed Workbook |  Answer Key Videos: Lesson Playlist on YouTube Introduction | Example 1 | Example 2 | Example 3 | Example 4 | Example 5 Example 6 | Example 7 | Example 8 | Example 9 | Example 10 Example 11 | Example 12 | Example 13 | Example 14 | Example 15 Example 16 | Example 17 | Example 18 | Example 19 Interactive Graphs: These are intended to be a visual aid used by teachers while working through examples in the classroom. For example, the teacher may write the algebraic steps on a whiteboard while using a presentation screen to toggle the Desmos graphs on (or off) as the steps are being worked through. Interactive Demonstration of Exponential Function Transformations 1 (Individual Parameters) Interactive Demonstration of Exponential Function Transformations 2 (All Parameters) Example 1 (a-e) | Example 2a | Example 2b | Example 2c...
Read more