AII.1b 
The student, given rational, radical, or polynomial expressions, will
b) add, subtract, multiply, divide, and simplify radical expressions containing rational numbers and variables, and expressions
containing rational exponents. 

Essential Knowledge and Skills 
 Simplify radical expressions containing positive rational numbers and variables.
 Add and subtract radical expressions.
 Multiply and divide radical expressions not requiring rationalizing the denominators.

Essential Understandings 
 Radical expressions can be written and simplified using rational exponents.
 Only radicals with a common radicand and index can be added or subtracted.


Vertical Articulation 
 SOL A.1  represent verbal quantitative situations algebraically/evaluate expressions for given replacement values of variables

Instructional Materials 
 VDOE ESS Lesson: Exponents and Radicals  Expressions and Operations (PDF)  Performing operations with and writing radical expressions containing rational exponents (Word)
 Basic Radicals Flipchart (flipchart)

Real World Lessons 

Practice 

SelfAssessments 
 SOL MiniQuiz: AII.1b  Simplifying, Adding and Subtracting Radical Expressions

Skills 

Videos 
 Notes: Simplifying Radicals (mp4)
 Video Tutor  Roots and Radical Expressions
 Video Tutor  Simplifying Radical Expressions

Explore
Learning 
 Simplifying Radicals  Activity A  Simplify a radical expression. Use stepbystep feedback to diagnose any incorrect steps.

Websites 

Common Core
Standards 
ASSE.2 
AAPR.2 
AAPR.4 
AAPR.6 
AAPR.7 
FIF.8a 
