Power Functions

Introduction

INTRODUCTION TO POWER FUNCTIONS VIDEO:

What is a Power Function? 

https://www.youtube.com/watch?v=9Giu9tk6H6I

[video:https://www.youtube.com/watch?v=9Giu9tk6H6I]

Task

In this WebQuest, you will learn about Power Functions (most of them you already know).  Youll learn the different types of Power Functions (even powers, odd powers, power of 0, power of 1, negative powers, and fractional powers), other names for certain Power Functions (like linear, quadratic, etc.), transformations of Power Functions (rotations, reflections, translations, etc.), and various other aspects of Power Functions.

You will need to read all directions very carefully.  You will also need to read the evaluation page before you get started; this will tell you how I will grade your work.  I will have printed handouts for the 2 investigations for you to organize your notes and responses on.  These handouts are only to help you organize your notes and results and they will not be handed in to me.  Again, these are only to help you organize your results.

 

Process

Your task is to create an electronic presentation of your investigative findings.  Your presentation can be whatever format you choose: KeyNote, PowerPoint, Prezi, etc. (as long as I can open it, you can create it).  Your investigative findings must include ALL OF THE FOLLOWING:

1.  All of the summarized and detailed results of the Power Function Investigation (from the handout)

Desmos Graphing Calculator

2.  Pictures of all types of Power Functions and their alternate names (i.e. linear, quadratic, etc.)

3.  The domain and range of each type of Power Function (even power, odd power, etc.) using the Domain and Range Finder Tool

4.  All of the summarized and detailed results of the Transformations of Power Functions Investigation (from the handout) 

Transformations of Power Functions GeoGebra

5.  Your conclusion and additional information you learn about Power Functions along the way.

Again:  please make sure you review the evaluation rubric on the evaluation page so that you will know exactly what is expected of you in your presentation.

 

 

Evaluation

  0 points 1 point 2 points 3 points

Power Function Investigation

(summary of detailed results)

none few results some results ALL 6 types summarized in detail

Pictures and Names of ALL

types of Power Functions

none few results some results A picture and alternative name of ALL 6 types of Power Functions

Domain & Range of ALL

Power Function types

none few results some results domain & range of all 6 types of Power Functions

Transformation Investigation

(summary of detailed results)

none few results some results ALL results of the 6 types of Power Functions and ALL results of the 4 types of transformations of each

Conclusion & 

Additional Information

none few results some results All 3 conclusion questions answered (see conclusion page) and 1+ additonal pieces of information you found on Power Functions

This rubric will give you 15 maximum points which will be converted to a grade out od 100.

Conclusion

Conclusion:  Answer each of the following questions in detail.  

What did you learn about Power Functions? 

How was the use of technology helpful in learning?

Any other conclusional comments?

 

Credits