Number and Number Sense 

Computation and Estimation 

Measurement and Geometry 

Probability, Statistics, Patterns, Functions, and Algebra 

SOL Review Materials 




*Items measuring these SOL will be completed without the use of a calculator.
Number and Number Sense
Focus: Relationships among Fractions, Decimals, and Percents
The student will
c) demonstrate equivalent relationships among fractions, decimals, and percents; and
d) compare and order fractions, decimals, and percents. 


Essential Knowledge and Skills 
 Compare two decimals through thousandths using manipulatives, pictorial representations, number lines, and symbols (<, <, >, >, =).
 Compare two fractions with denominators of 12 or less using manipulatives, pictorial representations, number lines, and symbols (<, <, >, >, =).
 Compare two percents using pictorial representations and symbols (<, <, >, >, =).
 Order no more than 3 fractions, decimals, and percents (decimals through thousandths, fractions with denominators of 12 or less), in ascending or descending order.

Essential Understandings 
 What is the relationship among fractions, decimals and percents? Fractions, decimals, and percents are three different ways to express the same number. A ratio can be written using fraction form (2/3), a colon (2:3), or the word to (2 to 3). Any number that can be written as a fraction can be expressed as a terminating or repeating decimal or a percent.


Vertical Articulation 
 SOL 4.2ab  a) compare and order
fractions/mixed numbers; b)
represent equivalent fractions;
 SOL 5.2ab  a) recognize/name fractions in
their equivalent decimal form and
vice versa; b) compare/order fractions
and decimals
 SOL 7.1bc  b) determine scientific notation
for numbers greater than zero; c)
compare and order fractions, decimals, percents,
and scientific notation
 SOL 7.1e  Identify and describe
absolute value for rational numbers
 SOL 8.1b  compare and order fractions, decimals, percents,
and scientific notation

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Rational Speed Matching  Number and Number Sense (PDF)  Investigating rational numbers in percent, decimal, and fractional forms (Word)
 Notes: Comparing Decimals and Fractions  A Fair Compare (flipchart)  notes and practice comparing fractions and decimals (not mixed together)
 Notes: Comparing and Ordering Fractions (flipchart)  interactive practice comparing and ordering fractions
 Notes: Fractions, Decimals, and Percents (ppt)
 Notes: Fractions, Decimals, and Percents (doc)  teacher notes
 Inquiry Lesson: Problem Solving to Find the Relationship Between Decimal, Fractions, and Percents (pdf)  Students will discover the relationship between decimals, fractions, and percents.
 Activity: Last Chance Workout (flipchart)  Answer Key (flipchart)  3 interactive slides comparing and ordering fractions, decimals and percents
 Activity: Decimal Representations  In Between Game (pdf)  students will model decimals on grid paper and compare decimals in the context of a game.
 Game: Fraction Track (pdf)
 Graphic Organizer: Fraction, Decimal, Percent Fill In Triangle (doc)  fill in notes for converting fractions, decimals and percents
 VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering (pdf)
 VDOE Algebra Readiness Curriculum Companion: Working with Percents (pdf)

Real World Lessons 
 Mathalicious: Black Mamba vs. The King  How should we determine which basketball player has the biggest impact on scoring?

Practice 
 Worksheet: Converting Between Percents, Decimals, and Fractions (pdf)  36 questions practicing converting between fractions, decimals and percents
 Worksheet: Magic Squares: Fraction, Decimal, Percent (doc)  25 matching problems converting between fractions, decimals and percents.

SOL Mini Quiz 
 SOL 6.2cd Mini Quiz: Compare and Order Fractions, Decimals, and Percents (pdf)

Skills 
 Representing Fractions  Sharing Pizza (doc)

Videos 
 Fraction, Decimal, Percent Foldable Notes (mp4)
 Eduplace: Compare Fractions, Decimals, Percents
 Prentice Hall: Ordering Decimals

Explore
Learning 
 Improper Fractions and Mixed Numbers: Represent a quantity given by a shaded region as an improper fraction and as a mixed number. Experiment with different shaded regions sliced differently.
 Percents and Proportions: Find a part from the percent and whole, a percent from the part and whole, or a whole from the part and percent using a graphic model.
 Percents, Fractions and Decimals: Compare a quantity represented by an area with its percent, fraction, and decimal forms.
 Comparing and Ordering Decimals: Use grids to model decimal numbers and compare them graphically. Then compare the numbers on a number line.
 Comparing and Ordering Fractions: Use area models to compare and order fractions. Also see a visual representation of the least common denominator of two fractions. With the visual representation of the LCD, this Gizmo can be an introduction to adding and subtracting fractions with unlike denominators.
 Comparing and Ordering Rational Numbers: Compare and order two rational numbers using an area model.
 Fraction Garden (Comparing Fractions): Plant flowers in two gardens to help develop fraction sense. The two gardens act as number lines, from 0 to 1. Use the flowers in the gardens to compare fractions and to explore equivalent fractions. Chalk marks can be drawn to divide the garden into equal sections.
 Modeling Decimals (Area and Grid Models): Model and compare decimals using area models. Set the number of sections in each model to 1, 10, or 100, and then click in the models to shade sections. Compare decimals visually and on a number line.
 Ordering Percents, Fractions and Decimals: Compare and order numbers represented as percents, fractions, and decimals using area grids and a number line.
 Ordering Percents, Fractions and Decimals Greater Than 1: Compare and order numbers greater than 1 using area grids and a number line. Examine the numbers represented as percents, improper fractions, and decimals.
 Treasure Hunter (Decimals on the Number Line): Drive a desert highway searching for buried treasure. Learn to use the car's tens, ones, tenths, and hundredths gears, along with a GPS system (number line), to find the right place to dig. Plot your find on a zoomable number line map. Can you become a master Treasure Hunter?

Websites 
 Sheppard: Fruit Shoot  Convert Fractions to Decimals
 Mr. Nussbaum: Death to Decimals
 Shodor: Fraction Four Game
 MathPlay: Fractions, Decimals, Percents Jeopardy
 Quia: Fractions, Decimals, Percents Jeopardy
 BrainGenie: FDP order
 BrainGenie: Compare two numbers
 BrainGenie: Compare numbers
 First Nine Weeks Review
Activity: Jeopardy Game

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering  The lessons focus on comparing and ordering fractions, decimals, percents and numbers
written in scientific notation. (pdf)

Common Core
Standards 

