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**Proportions, Ratio, Rate and Unit Rate Review**

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**Ratio What is a ratio? What is an example of a ratio?**

A ratio is a comparison between two numbers. What is an example of a ratio? There are 15 boys in a class and 8 girls. A ratio to represent the class would be 15 : 8, 15 to 8 and 15 8 You drove 30 miles in 45 minutes. A ratio to represent this situation is 30 : 45, 30 to 45 and 30 45 Order DOES matter in a ratio!!! 4 : 5 is NOT the same as 5 : 4

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**Ratio How do you find equivalent ratios?**

To find an equivalent ratio multiply the numerator and denominator by the SAME number. What is an example of equivalent ratios? You are given the ratio 4 5 To find an equivalent ratio multiply the top and bottom by the SAME number. I am going to use 2 4 x 2 = 8 5 x

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**Rate What is a rate? What is an example of a unit?**

A rate is a ratio with 2 different units (measurement) What is an example of a unit? You ran 5 miles in 2 hours. A rate to represent you running would be 5 miles 2 hours 5 apples cost $ A rate to represent the cost of the apples would be $2.00 5 apples REMEMBER – ALWAYS put money in the numerator!

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**Unit Rate What is a unit rate? Do unit rates of two different units?**

A unit rate is a rate with a denominator of 1. Do unit rates of two different units? YES, unit rates are rates and rates have two different units! How do we find unit rate? 1st: Set up a unit rate 2nd: Divide by the denominator 3rd: Write your answer in word form (the numerator PER the denominator).

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**Unit Rate What is an example of a unit rate?**

A car drives 30 miles on 10 gallons. To write a unit rate follow the three step. 1st: Set up a rate miles 10 gallons 2nd: Divide by the denominator miles ÷ 10 = 3 miles 10 gallons ÷ gallon 3rd: Write in word form miles per gallon

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**Proportion What is a proportion? What is an example of a proportion?**

Proportions are two ratios set equal to each other. What is an example of a proportion? Since a proportion are 2 equal ratios an example could be: 4 = 8 How do you know if it is a true proportion? The cross-products of the ratios must be equal. 4 x 10 = and 5 x 8 = 40 It is a proportion!

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Proportion When a proportion contains a variable, how do you solve for the variable? To solve for the variable you cross multiply! Example: = x 30(6) = 10x = 10x 18 = x

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**Proportion Now lets try write and solving a proportion.**

There is a ratio of 8 boys to 12 girls in a classroom. How many girls would there be if there were 12 boys in the classroom?

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**Proportion If given a ratio how can you form a proportion?**

If given a ratio you can form a proportion by finding an equivalent ratio and setting them equal to each other. Given the ratio 2 to 3 form a proportion.

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