Comparing Ratio Relationships

What is a ratio?

• Adding two number

• Subtracting two numbers

• A comparison of two quantities 

• What I listen to in the car

What is a rate?

•  Ratio comparing quantities with different units of measure 

• Good

• scale of 1-10

• Bad

Comparison of two measures with one term having a value of 1; also called price per unit or cost

• Regular old ratio

• math

• Subtraction

• Unit Rate

What is a proportion?

• How much pie you get at Thanksgiving

• A type of whale

• A subtraction problem

• Two equal ratios

The ratio of blue cards to green cards is 2 to 5. An equivalent ratio to 2 to 5 would be ​ (a)   to ​ (b)   .

• 14

• 35

• 2

• 5

• 7

• 3

• 10

• 13

Chris and Jenny are comparing two similar punch recipes. Each recipe calls for cranberry juice and ginger ale but in different amounts. The tables to the left show the amounts of cranberry juice and ginger ale for four different quantities of punch. Is the ratio of the punch that is cranberry juice the same in Chris’s recipes as it is in Jenny’s recipes? If not, whose punch has a greater concentration of cranberry juice?

• No, there is no way to determine this.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Chris had a higher concentration of cranberry juice which means you can taste the cranberries more in his juice.

• Jenny had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so Jenny had a higher concentration of cranberry juice because she used less ginger ale.

• Chris had a higher concentration of cranberry juice. You have to extend the table for Chris. When Chris and Jenny both used 10 cups of cranberry juice. Chris had 40 cups of ginger ale and Jenny had 15 so, Chris had a higher concentration of cranberry juice than ginger ale because he used more ginger ale.

• A

• B

• C

• D

Jessica made 8 out of 24 free throws. Bob made 5 out of 20 free throws. Who has the highest

free throw ratio and how do you know?

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Shown in the double number line is a representation for a smoothie recipe that calls for frozen strawberries and milk.



If 10 cups of strawberries are used with 15 ounces of milk, will the recipe taste the same?

• Yes, because the ratio 10:15 is an equivalent ratio.

• Yes, because this is the amount needed to make 5 batches.

• No, because the ratio 10:15 is equal to 1:1.5 instead of 2:5

• No, because the milk could make 5 batches and the strawberries could make 4 batches.

Devon and Kylie each make a cheese sauce. Devon uses 8 oz of cheese for every 9 oz of cream. Kylie uses 11 oz of cheese for every 12 oz of cream. Whose sauce will have the stronger cheese flavor?

• Devon

• Kylie

• They are the same