Course 2 Online!
Henrico County Public Schools, Virginia
7.1a - Negative Exponents for Powers of Ten
Number, Number Sense, Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
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
  1. VDOE Enhanced Scope and Sequence Lesson: Powers of Ten (PDF) - Describing the concept of negative exponents for powers of ten (Word)
  2. Notes: Powers of Ten (flipchart)
  3. Notes: Powers of Ten #2 (flipchart)
  4. Guided Notes and Worksheet: Negative Exponents (doc)
  5. Guided Notes: Exponents and Powers of Ten (doc)
  6. Activity: Powers of Ten Matching (doc)
  7. Activity: Matching Powers of Ten (flipchart)
Real World Lessons
Practice
  1. Worksheet: Powers of Ten Chart (doc)
  2. Worksheet: Powers of Ten (doc)
  3. Worksheet: Powers of Ten #2 (pdf)
SOL Mini Quiz
  1. SOL 7.1a Mini Quiz: Powers of 10 (pdf) | (doc)
Skills
  1. Powers of Ten (doc)
Videos
  1. YouTube: Negative Exponents: Powers of Ten
  2. 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
  1. None
Websites
  1. Learn Alberta: Patterning the Powers of 10 (Object Interactive)
  2. Powers of 10
VDOE Interventions
  1. 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