## Introduction

Introduction:

- Students will learn to simplify and perform operations on radical expressions and equations
- Students will be able to find the sum, difference, product and quotient of radical expressions
- Students will be able to solve radical equations
- Students will be able to identify the conjugate of the radical expressions and use it to solve radical equations

## Task

Task 1- Answer the following questions

- What is the technical name for the radical symbol?
- Where and when was the symbol used for the first time?
- Who discovered it?
- How many variations of the symbol are there? How many do you know? Give drawn out examples.

Task 2- Lesson 5-7 Rational Exponents

- On page 261 complete questions #4-19, 41-61
- To receive full credit for your work, you must properly label the problem and show all work

Task 3- Lesson 5-8 Radical Equations and Inequalities

- On Page 266 complete questions #13-30
- To receive full credit for your work, you must properly label the problem and show all work

## Process

You may use the following pages to help you answer the questions from Task 1

https://en.wikipedia.org/wiki/Radical_symbol

https://math.stackexchange.com/questions/15787/how-did-the-square-root-get-its-shape

https://blogs.ams.org/blogonmathblogs/2018/04/09/radical-notation/

For help with completing Task's 2 and 3 please refer to the following pages for additional assistance

https://www.mathplanet.com/education/algebra-1/radical-expressions/simplify-radical-expressions

https://www.mathsisfun.com/algebra/radical-equations-solving.html

https://www.chilimath.com/lessons/intermediate-algebra/solving-radical-equations/

For additional step by step instructional videos please refer to the following for additional assistance

## Evaluation

Task 1 - Maximum points available to receive 6

6 points- Answered all four questions correctly, in complete sentences with no grammar errors

4 points- Answered 3 questions correctly, in complete sentences with few grammar errors

2 points- Answered 1 or 2 questions, in complete sentences with few or many grammar errors

0 points- Student answered no questions

Task 2- Maximum of 35 points

35 points- All problems completed, labeled correctly, work shown and no mathematical errors

25 points- 75% of problems completed, labeled correctly, work shown and minor mathematical errors

15 points- Less than 50% of problems completed, labeled correctly, work shown and major/minor mathematical errors

0 points- Student made no attempt at any of assigned work

Task 3- Maximum of 20 points

20 points- All problems completed, labeled correctly, work shown and no mathematical errors

15 points- 75% of problems completed, labeled correctly, work shown and minor mathematical errors

10 points- Less than 50% of problems completed, labeled correctly, work shown and major/minor mathematical errors

0 points- Student made no attempt at any of assigned work

## Conclusion

At the end of this section the students are able to solve, understand and apply radical equation and expression concepts to appropriate situations to find solutions to the assigned problem.

Students will take a comprehensive exam at the end of Task 3, for concept understanding.