Radicals!

Introduction

 

This month we learn about radicals. We know how to simplify, add, subtract, and solve radical expressions.

To conclude what we learned so far, we will compose a booklet about radicals. The booklet will contain everything that we learned so far, and also new things that you will learn during this project. DUE DATE: 17-NOV-2016

Task

 

To create this booklet, students will have to complete four tasks.

Task 1
Find facts, facts, and facts about the origin of the radical symbol, and the mathematician who used the sign for the first time. Your report should answer most of these questions and include anything else you discover that you find interesting.

  1. Where and when was the sign used for the first time?
  2. What was the mathematician's name?
  3. How long did it take for the symbol to be used world-wide? 
  4. Show some variations on the radical sign.


Task 2
Find two problems from each section of Chapter 3 (Radicals and Rational Functions) in the online ck12.org textbook. Label each problem with the section and problem number. Organize and show all work.  


Task 3
Research to find the connection with radicals and the Golden Ratio/Rectangle. Find two real-world problems involving the Golden Rectangles concept which you will find frequently in nature and art. Draw a picture for each problem.

Task 4
Compose a 250-word reflection on the chapter. Idea include: your favorite section, least favorite section, most challenging real world application, or anything new you learned from this project.

Process

 

First 
You will work in groups of four (assigned by the teacher).


Second 

The group will work together for completing the first three tasks. For the fourth task, each person in the group will be responsible for turning in their own written paper.


Third

You will be graded as a group for the first-three tasks and as an individual on your own written paper. You may submit the project in a folder or you may use visual aids like PowerPoint. Do not forget that if your project is presented in the folder, all parts must be organized.


Fourth

You will have class time to go on the computer and research the project. You can use the following links or any others you find to get your information. Make sure you write where got your information.

I have created a Google Doc that can be accessed through Canvas for each group. Go to Collaborations and select your group to access your document to update.

 

 

 

 

Evaluation

 
Evaluation Rubric
  Tasks 10 Points 6 Points 2 Points Score
History of Radicals Task 1 Able to identify at least 5 facts. Able to identify at least three facts. Able to identify at least one fact. Total
12 Problems from the chapter 10 Task 2 All problems from each section are completed,and there are no mathematical errors in any of the problems. All problems from each section are completed, but there are minor mathematicals errors in the problems. Less than twelve problems are completed,and there are major mathematical errors in the problems. Total
Two real-word problems Task 3 Two real world problems are completed, and illustration is exquisitely composed. One real world problem is completed,or illustration is somewhat aide the reader's comprehension. No real world problem is completed,or no work is shown. Total
Reflection Task 4 Student completed a typed, 250-word reflection. Student demonstrates an understanding of the chapter. Student completed a 250-word reflection. Student demonstrates an understanding with minor application flaws in the reflection. Student completed a reflection < 250 words. Student did not demonstrate an understanding of the content in the reflection. Total
Total Score:
 

Conclusion

 


Job well done!!!!!

I hope you found radicals interesting concept and that you can solve, understand, and apply it to the real world problems.

Credits

Thanks to Albana Piakalliu from http://zunal.com/author.php?w=103915 for original webquest

Teacher Page


Essential Questions:

    1. What strategy can students use to find the factor to remove?
    2. How do students know if radical expressions can be combined?
    3. How can this information be used in real life situations?


After this assignment students will be able to:

    1. Simplify radicands involving products and quotients.
    2. Simplify sums, differences, products, and quotients of radical expressions.
    3. Solve equations containing radicals.
    4. Use the radical concept to the real world problems.