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 describe and compare data, using ratios, and will use appropriate notations, such as a/b, a to b, and a:b. 


Essential Knowledge and Skills 
 Describe a relationship within a set by comparing part of the set to the entire set.
 Describe a relationship between two sets by comparing part of one set to a corresponding part of the other set.
 Describe a relationship between two sets by comparing all of one set to all of the other set.
 Describe a relationship within a set by comparing one part of the set to another part of the same set.
 Represent a relationship in words that makes a comparison by using the notations a/b, a:b, and a to b.
 Determine a ratio from a pictorial representation.
 Create a relationship in words for a given ratio expressed symbolically.

Essential Understandings 
 What is a ratio? A ratio is a comparison of any two quantities. A ratio is used to represent relationships within a set and between two sets. A ratio can be written using fraction form (2/3), a colon (2:3), or the word to (2 to 3).


Vertical Articulation 
 SOL 7.4  single and multistep practical
problems with proportional
reasoning
 SOL 8.3a  solve practical problems
involving rational numbers, percent,
ratios, and prop

Instructional Materials 
 VDOE Enhanced Scope and Sequence Lesson: Field Goals, Balls, and Nets (PDF)  Using ratios to compare quantities (Word)
 Notes: Ratios (flipchart)  23 slides on notes and practice of ratios
 Notes: Ratios  Shortened (flipchart) 13 slides on notes and practice of ratios
 Notes: Ratios (ppt)  video, notes, different types of examples, SOL review questions, websites
 Notes: Ratios #2 (ppt)
 Notes, Video, and Practice: Ratios (flipchart) 
 Notes: Ratios (doc)
 Activity: Ratio Foldable (doc)
 Infographic  World Percentages  If the world consisted of 100 people...
 VDOE Algebra Readiness Curriculum Companion: Working with Ratios and Proportions (pdf)

Real World Lessons 
 Dan Meyer  Nana's Chocolate Milk  How do we fix Nana's chocolate milk?
 Mathalicious: As The World Turns  How fast is the world spinning, and is it the same everywhere?
 Mathalicious: Big Foot Conspiracy  Do people with small feet pay too much for shoes, and what would happen if Nike charged by weight?

Practice 
 Notes, Video, and Practice: Ratios (flipchart)  practice problems, guided notes, and video reviewing ratios
 Worksheet: Ratio  Classroom Pets (doc)  12 practice problems included word problems.
 Worksheet: Ratio Word Problems (pdf)  10 ratio word problems
 Worksheet: Writing Ratios 3 Ways (doc) 20 basic ratio picture problems
 Worksheet: Writing Ratios 3 Ways (doc)  10 basic practice problems

SOL Mini Quiz 
 SOL 6.1 Mini Quiz: Ratios (pdf)

Skills 
 Ratios: WinLoss Percentages (doc)
 Ratios: Pizza Party (doc)

Videos 
 Notes, Video, and Practice: Ratios (flipchart)
 Spy Guys: Ratios (learnalberta)
 YouTube: Introduction to Ratios
 PH: Finding distances on maps using scale
 PH: Writing ratios in three ways
 PH: Writing equivalent ratios

Explore
Learning 
 Part:Part and Part:Whole Ratios: Compare a ratio represented by an area with its percent, fraction, and decimal forms.
 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.

Websites 
 SoftSchools: Modeling Ratios Coloring Game
 SoftSchools: Ratio Game
 MathSlice: Ratios Worksheet
 Learn Alberta: Ratios
 Learn Alberta: Select Number  Rates and Ratios (Food)
 WiscOnline: Ratios
 Arcademic: Ratio Stadium Game
 TeachersDomain: Lesson  Gears and Proportions
 Lanius: Interactive Notes  All About Ratios
 Math Is Fun: Ratios
 BrainGenie: Writing Ratios
 BrainGenie: Word Problems: Ratio, Parts, and Total
 BrainGenie: Equivalent Ratios
 MathSnacks: Ratio Rumble Game

VDOE Interventions 
 VDOE Algebra Readiness Curriculum Companion: Working with Ratios and Proportions  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)

Common Core
Standards 
6.RP.1 
6.RP.2 
6.RP.3a 
6.RP.3d 

