Number and Number Sense
Focus: Proportional Reasoning
The student will
a) investigate and describe the concept of negative exponents for powers of ten; 


Essential Knowledge and Skills 
 Recognize powers of 10 with negative exponents by examining patterns.
 Write a power of 10 with a negative exponent in fraction and decimal form.

Essential Understandings 
 What does a negative exponent mean when the base is 10? A base of 10 raised to a negative exponent represents a number between 0 and 1.


Vertical Articulation 
 SOL 6.5  investigate/describe positive
exponents, perfect squares
 SOL 8.5ab  a) determine if a number is a
perfect square; b) find two
consecutive whole numbers
between which a square root lies
 SOL A.3  express square roots/cube roots
of whole numbers/the square root
of monomial algebraic expression
(simplest radical form)

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Powers of Ten (PDF)  Describing the concept of negative exponents for powers of ten (Word)
 Notes: Powers of Ten (flipchart)
 Notes: Powers of Ten #2 (flipchart)
 Guided Notes and Worksheet: Negative Exponents (doc)
 Guided Notes: Exponents and Powers of Ten (doc)
 Activity: Powers of Ten Matching (doc)
 Activity: Matching Powers of Ten (flipchart)

Real World Lessons 

Practice 
 Worksheet: Powers of Ten Chart (doc)
 Worksheet: Powers of Ten (doc)
 Worksheet: Powers of Ten #2 (pdf)

SOL Mini Quiz 
 SOL 7.1a Mini Quiz: Powers of 10 (pdf)  (doc)

Skills 
 Powers of Ten (doc)

Videos 
 YouTube: Negative Exponents: Powers of Ten
 YouTube: Powers of Ten  A film dealing with the relative size of things in the universe and the effect of adding another zero. (9:01)

Explore
Learning 
 None

Websites 
 Learn Alberta: Patterning the Powers of 10 (Object Interactive)
 Powers of 10

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Exploring Decimals  The lessons focus on identifying place values, rounding decimals through hundredths, and
performing operations of decimals and writing and solving problems with decimals.(pdf)

Common Core
Standards 
8.EE.1 
8.EE.2 
8.EE.3 
8.EE.4 
8.NS.2 
