Lesson 1

Lesson 1: Mixed and Entire Radicals

 

Focus

 

Radicals not only help describe characteristics about planets, as you will see in the Module 5 Project, but they also describe a host of earthly situations, such as the skidding of a car on a wet surface when brakes are applied or the growth of a wildlife population in an animal study.

 

In this lesson you will refresh your knowledge and increase your ability to work with radicals. You will deal with radical expressions and equations that match situations on Earth and throughout the universe.

 

Outcomes

 

At the end of this lesson you will be able to

• express an entire radical with a numerical radicand as a mixed radical
  
  
• express a mixed radical with a numerical radicand as an entire radical
  
  
• compare and order radical expressions with numerical radicands in a given set

Lesson Questions

 

You will investigate the following questions:

• How do you convert between a mixed radical with a numerical radicand and an entire radical?
  
  
• Why are radicals expressed in different ways?

Assessment

Your assessment may be based on a combination of the following tasks:

• completion of the Lesson 1 Assignment (Download the Lesson 1 Assignment and save it in your course folder now.)
  
  
• course folder submissions from Try This and Share activities
  
  
• additions to Module 5 Glossary Terms and Formula Sheet
  
  
• work under Project Connection

Self-Check activities are for your own use. You can compare your answers to suggested answers to see if you are on track. If you are having difficulty with concepts or calculations, contact your teacher.

 

Materials and Equipment

 

You will need a graphing calculator.