Course 1 Online!
Henrico County Public Schools, Virginia
Number and Number Sense

Computation and Estimation

Measurement and Geometry

Probability, Statistics, Patterns, Functions, and Algebra

SOL Review Materials
Number and Number Sense
Focus: Relationships among Fractions, Decimals, and Percents

The student will investigate and describe concepts of positive exponents and perfect squares. 
Essential Knowledge and Skills
  • Recognize and describe patterns with exponents that are natural numbers, by using a calculator.
  • Recognize and describe patterns of perfect squares not to exceed 20 squared, by using grid paper, square tiles, tables, and calculators.
  • Recognize powers of ten by examining patterns in a place value chart: 10^4 = 10,000, 10^3 = 1000, 10^2 = 100, 10^1 = 10, 10^0=1.
Essential Understandings
  • What does exponential form represent? Exponential form is a short way to write repeated multiplication of a common factor such as
    5 x 5 x 5 x 5 = 5^4
  • What is the relationship between perfect squares and a geometric square? A perfect square is the area of a geometric square whose side length is a whole number.
Vertical Articulation
  1. SOL 7.1a - investigate/describe negative exponents
  2. SOL 7.1d - determine square roots
  3. SOL 8.5ab - a) determine if a number is a perfect square; b) find two consecutive whole numbers between which a square root lies
Instructional Materials
  1. VDOE Enhanced Scope and Sequence Lesson: Perfecting Squares (PDF) - Investigating positive exponents and perfect squares (Word)
  2. Notes: Exponents (flipchart) - notes with ActivEngage practice questions (10 slides)
  3. Notes: Modeling Multiplication and Perfect Squares (flipchart)
  4. Notes: Exponents (ppt) - notes, examples, interactive websites, BrainPop, homework and warm up practice questions
  5. Guided Notes: Positive Exponents (doc) - Fill in notes for exponents and perfect squestions with practice questions
  6. Guided Notes: Exponents (doc) - Fill in notes for exponents and perfect squares
  7. Notes Song: All About That Base (flipchart)
  8. Activity: Exponent Follow Me (pdf)
  9. Activity: Pair Me Up (pdf)
  10. Activity: Exponents and Perfect Square Puzzle (pdf) - cut out the triangles and match up the question to the answers.
  11. Quiz: Powers and Exponents (flipchart)- 4 questions using ActivEngage
  12. Activity:  Integer, Absolute Value, Sequences Perfect Squares, Exponents Stations (doc) - 4 stations with 33 questions
Real World Lessons
  1. Worksheet: Execute the Exponents (doc) - 16 examples on exponents
  2. Worksheet: Exponent Extravaganza (pdf) - Fill in chart with 12 additional practice problems on exponents
SOL Mini Quiz
  1. SOL 6.5 Mini Quiz: Exponents and Perfect Squares (pdf)
  1. Mathematics Assessment Project: E06:“Ponzi” Pyramid Schemes - Expert - Do you want to get rich quick? Your task is to find the fatal catch in this sure-fire money making scheme.
  2. Evaluating Exponents: Who made the mistake? (doc)
  3. Family Tree: Determine how many ancestors are in your family tree. (doc)
  1. How to Multiply Exponents (mov)
  2. YouTube: Exponential Notation
Explore Learning
  1. Square Roots: Explore the meaning of square roots using an area model. Use the side length of a square to find the square root of a decimal number or a whole number.
  1. Exponent Notes/Practice Problems
  2. Perfect Square:
  3. BrainGenie: Evaluating Numeric Expressions with Integers and Powers
  4. BrainGenie: Identifying the Exponent and Base
  5. BrainGenie: Writing Powers as a Product
VDOE Interventions
  1. VDOE Algebra Readiness Curriculum Companion: Exploring Whole Numbers - The lessons focus on solving problems that use whole number operations, prime and composite numbers, odd and even numbers, perfect squares and square roots. (pdf)
Common Core Standards