Course 1 Online!
Henrico County Public Schools, Virginia
Important News: Effective August 15, 2018, this site will be realigning to the 2016 SOL.
As a result, many of the instructional notes, activities, and worksheets will be removed. Please download any files you wish to keep for future use.
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
Practice
  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)
Skills
  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)
Videos
  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.
Websites
  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
5.OA.2
8.EE.1