A.2a 
The student will perform operations on polynomials, including
a) applying the laws of exponents to perform operations on expressions;


Essential Knowledge and Skills 
 Simplify monomial expressions and ratios of monomial expressions in which the exponents are integers, using the laws of exponents.

Essential Understandings 
 The laws of exponents can be investigated using inductive reasoning.
 A relationship exists between the laws of exponents and scientific notation.


Vertical Articulation 
 SOL 7.16  apply properties w/ real numbers: a) commutative and associative properties for add/multi; b) distributive property; c) add/multi identity properties; d) add/multi inverse properties; e) multi property of zero
 SOL 8.15  c) identify properties of operations used to solve equations
 SOL AII.3  perform operations on complex numbers/express results in simplest form using patterns of the powers of i/ID field properties for complex numbers

Instructional Materials 
 VDOE ESS Lesson: Exponents  Expressions and Operations (PDF)  Using exponents (Word)
 VDOE ESS Lesson: Scientifically Speaking  Expressions and Operations (PDF)  Working with scientific notation (Word)
 Notes: Laws of Exponents (ppt)

Real World Lessons 

Practice 
 VDOE ESS: Exploring Exponents (pdf)
 VDOE ESS: Scientifically Speaking (pdf)
 Worksheet: Laws of Exponents CW (doc)
 Worksheet: Laws of Exponents HW (doc)
 ExamView Quiz: Multiplying Monomials
 Prentice Hall Quiz: Multiplying
 Prentice Hall Quiz: Power of a Power

SelfAssessments 

Skills 
 Monomial Magic (doc)

Videos 
 Video: PH Multiplying Powers with the Same Base
 Video: PH Multiplying Powers in an Algebraic Expression
 Video: PH Simplifying a Power Raised to a Power
 Video: PH Raising a Product to a Power

Explore
Learning 
 Exponents and Power Rules  Choose the correct steps to simplify expressions with exponents using the rules of exponents and powers. Use feedback to diagnose incorrect steps.
 Multiplying Exponential Expressions  Choose the correct steps to multiply exponential expressions. Use the feedback to diagnose incorrect steps.

Websites 
 Interactive
Notes: Rules for Exponents  lessons and practice problems at Regentsprep.org
 Notes:
Rules for Exponents  displays all of the
rules for exponents at math.uww.edu

Old Website Links 

Common Core
Standards 
7.EE.1 
8.EE.1 
NRN.1 
NRN.2 
ASSE.3b 
ASSE.3c 
AAPR.1 
AAPR.4 
