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 
 SOL 7.1a  investigate/describe negative
exponents
 SOL 7.1d  determine square
roots
 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 
 VDOE Enhanced Scope and Sequence Lesson: Perfecting Squares (PDF)  Investigating positive exponents and perfect squares (Word)
 Notes: Exponents (flipchart)  notes with ActivEngage practice questions (10 slides)
 Notes: Modeling Multiplication and Perfect Squares (flipchart)
 Notes: Exponents (ppt)  notes, examples, interactive websites, BrainPop, homework and warm up practice questions
 Guided Notes: Positive Exponents (doc)  Fill in notes for exponents and perfect squestions with practice questions
 Guided Notes: Exponents (doc)  Fill in notes for exponents and perfect squares
 Notes Song: All About That Base (flipchart)
 Activity: Exponent Follow Me (pdf)
 Activity: Pair Me Up (pdf)
 Activity: Exponents and Perfect Square Puzzle (pdf)  cut out the triangles and match up the question to the answers.
 Quiz: Powers and Exponents (flipchart) 4 questions using ActivEngage
 Activity: Integer, Absolute Value, Sequences Perfect Squares, Exponents Stations (doc)  4 stations with 33 questions

Real World Lessons 

Practice 
 Worksheet: Execute the Exponents (doc)  16 examples on exponents
 Worksheet: Exponent Extravaganza (pdf)  Fill in chart with 12 additional practice problems on exponents

SOL Mini Quiz 
 SOL 6.5 Mini Quiz: Exponents and Perfect Squares (pdf)

Skills 
 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 surefire money making scheme.
 Evaluating Exponents: Who made the mistake? (doc)
 Family Tree: Determine how many ancestors are in your family tree. (doc)

Videos 
 How to Multiply Exponents (mov)
 YouTube: Exponential Notation

Explore
Learning 
 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 
 Exponent Notes/Practice Problems
 Perfect Square:
 BrainGenie: Evaluating Numeric Expressions with Integers and Powers
 BrainGenie: Identifying the Exponent and Base
 BrainGenie: Writing Powers as a Product

VDOE Interventions 
 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 

