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
a) investigate and describe fractions, decimals, and percents as ratios; and
b) identify a given fraction, decimal, or percent from a representation. 


Essential Knowledge and Skills 
 Identify the decimal and percent equivalents for numbers written in fraction form including repeating decimals.
 Represent fractions, decimals, and percents on a number line.
 Describe orally and in writing the equivalent relationships among decimals, percents, and fractions that have denominators that are factors of 100.
 Represent, by shading a grid, a fraction, decimal, and percent.
 Represent in fraction, decimal, and percent form a given shaded region of a grid.

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 4.2c  identify
division statement that represents a
fraction
 SOL 5.2a  recognize/name fractions in
their equivalent decimal form and
vice versa

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: Fractions, Decimals, Percents (flipchart)  21 slides with notes and practice converting
 Notes: Representing Fractions, Decimals, and Percents (flipchart)  10 slides practice showing representations on a grid
 Notes: Fractions, Decimals, Percents (ppt)  65 slides of notes, practice problems, interactive websites, warm ups
 Notes: Fractional Parts of Objects (doc)
 Activity: Building Towers Game  Convert fractions to decimals (pdf)
 Activity: Around the World  Connections between fractions, decimals, percents (pdf)
 Activity: Who Has 100 Things?  Connections between fractions, decimals, percents (pdf)
 Activity: Museum Walk  Connections between fractions, decimals, percents (pdf)
 Activity: Fraction Strips  Create fraction manipulatives (pdf)
 Activity: Fractions, Decimals, Percents Jeopardy (ppt)
 Activity: Fractions, Decimals, Percents (flipchart)  students work with a partner to answer questions and check with the QR codes
 VDOE Algebra Readiness Curriculum Companion: Comparing and Ordering (pdf)
 VDOE Algebra Readiness Curriculum Companion: Working with Fractions (pdf)
 VDOE Algebra Readiness Curriculum Companion: Working with Percents (pdf)
 VDOE Algebra Readiness Curriculum Companion: Working with Ratios and Proportions (pdf)

Real World Lessons 
 Mathalicious: From the Line  If two basketball players shoot a different number of foul shots, how do we decide who did better?

Practice 
 Activities: Fractions, Decimal, Percents, Oh My! (flipchart)  several activities to practice fractions, decimals, percents
 Worksheet: Chart, Fraction, Decimal, and Percent Relationships (pdf)  3 pages with modeling and converting fractions, decimals and percents
 Worksheet: Fraction, Decimal, Percent Representations (doc)  10 questions filling in the chart to represent modeling and converting fractions, decimals and percents
 Worksheet: Converting Fractions, Decimals, Percents, and Ratios Practice (pdf)  10 questions converting fractions, decimals and percents (no models)
 Worksheet: Shading Fractions (doc)  6 questions modeling fractions on a grid

SOL Mini Quiz 
 SOL 6.2ab Mini Quiz: Representations of Fractions (pdf)

Skills 

Videos 
 YouTube: Fractions, Decimals, Percents
 YouTube:
Number Sense  Compare and Order Fractions, Decimals and Percents
 PH: Writing a fraction as a terminating decimal
 PH: Writing a fraction as a repeating decimal
 PH: Finding equivalent fractions
 PH: Writing decimals as percents
 PH: Writing fractions as percents

Explore
Learning 
 Part:Part and Part:Whole Ratios: Compare a ratio represented by an area with its percent, fraction, and decimal forms.
 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.
 Polling: Neighborhood: Conduct a phone poll of citizens in a small neighborhood to determine their response to a yesorno question. Use the results to estimate the sentiment of the entire population. Investigate how the error of this estimate becomes smaller as more people are polled. Compare random versus nonrandom sampling.
 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.

Websites 
 Shodor: Converter: fractions to decimals, decimals to fractions
 Shodor: Fraction Four Game: fractions to decimals, fractions to percent
 NLVM: Percentages: relationship between fractions decimals (Use Internet Explorer)
 NLVM: Percent Grids (Use Internet Explorer)
 NLVM: Comparing Fractions (Use Internet Explorer)
 Illuminations: Fraction Models
 Math Is Fun: Decimals, Fractions, Percentages
 Math Goodies: The Meaning of Percent
 BrainGenie: Percents, Decimals, and Fractions
 BrainGenie: Finding Percents, Parts, and Wholes

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Working with Fractions  The lessons focus on fraction computation, factors, and multistep practical problems with
fractions. Students are expected to model multiple representations of the multiplication and division of
fractions. (pdf)
 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)
 VDOE Algebra Readiness Curriculum Companion: Working With Percents  The lessons in this section focus on relating percents to decimals and fractions, comparing and ordering,
solving multistep practical problems and determining the percent of increase or decrease for a give situation. (pdf)
 VDOE Algebra Readiness Curriculum Companion: Working with Ratios and Proportions  (SOL 6.2a) The lessons focus on the meaning of ratios and proportions. Students practice writing
ratios and build on their knowledge of ratios to work with proportions. Using proportional reasoning to
solve practical problems is a common element in this section. (pdf)
 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 
6.RP.1 
6.RP.3c 
6.RP.3d 
7.NS.2d 

