# Ratios And Proportions

## What are Rates, Ratios and Proportions?

Well:

*Rates are a comparison of two different units

*Ratios are a comparison of two things

*Proportions are 2 equal ratios that compares two things

Now you know!

## The 2 Types Of Ratios

They are either:

*Part to Part which is a part of the total number with another part of the total number

Ex: There are 25 students in the class, 12 are boys and 13 are girls

Or

*Part to Whole which is a part of the total number with the total number

Ex: In a classroom, 13 students are girls and there are 25 students in the classroom

## How To Set Up Proportions

Read First And Fill In The Numbers And Words/Units Second

Number Word/Unit Number Word/Unit

---------------------------- = ----------------------------

Number Word/Unit Number Word/Unit

Ex: 3 Books 6 Books

------------- = -------------

6 Dollars 12 Dollars

*This is not the only kind of set up! This is only the regular set up and there are many more like the percent proportion, etc

## The Types Of Proportions

1.Proportionality: All Numbers Are Given; Regular Set Up But Do It Multiple Times

2.Same 2 Words Twice: 3 Numbers Are Given(Some May Be Inferred); Regular Set Up

3.Constant Of Proportionality And Unit Rate: Amount For One Unit; Regular Set Up But With A Ratio Having A Unit Of One

4.Measurement And Scale Drawing: Changing Between 2 Different Units Or A Picture Of A Smaller Model/Drawing; Regular Set Up But With Different Measurement Units

5.Similar Figures: Same Shape, Different Size; Regular Set Up But Words May Be Long/Short, Length/Width, Etc

6.Percent: If There Is A Percent Or Percent Sign Use The Percent Proportion Which Is Part Over Whole, Percent Over 100