Ratio/Rate Practice

Ratio/Rate Practice

Open Ended

In your own words: What is a ratio?

​Ratio: A comparison of amounts/quantities

​PART-TO-PART: Green apples compared to red apples

​PART-TO-WHOLE: Green apples compared to total amount of apples

Multiple Choice

What is the ratio of green apples to red apples?

• 3 : 9

• 9 : 3

• 3 : 12

• 12 : 3

Multiple Choice

What is the ratio of green apples to TOTAL apples?

• 3 : 9

• 9 : 3

• 3 : 12

• 12 : 3

​Remember: we can SIMPLIFY ratios!

​Our ratio of green apples to total apples was 12 : 3.

​

​We can simplify this to be 4 : 1

​*We know this because we simplify ratios like fractions. 12 divided by 3 is 4, and 3 dividied by 3 is 1.

Multiple Choice

Simplify the following ratio: $$\frac{27}{9}$$  

• 3

• $$\frac{9}{27}$$  

• $$\frac{3}{1}$$  

• $$\frac{1}{3}$$  

Multiple Choice

I have 3 sports video games, 2 battle video games, and 4 fantasy video games. What is my ratio of sports video games to fantasy video games?

• 3 : 6

• 3 : 4

• 4 : 3

• 3 : 9

Multiple Choice

I have 3 sports video games, 2 battle video games, and 4 fantasy video games. What is my ratio of sports video games to TOTAL video games?

• 3 : 6

• 3 : 4

• 4 : 3

• 3 : 9

Multiple Choice

The last answer was 3 : 9. How can I simplify this ratio?

• 1 : 3

• 3 : 1

• 3

• 9

Multiple Select

Select ALL of the following that are equivalent ratios to $$\frac{2}{4}$$  

• $$\frac{1}{2}$$  

• $$\frac{6}{12}$$  

• $$\frac{4}{2}$$  

• 2

Multiple Choice

What is the ratio of blue circles to red squares? (Simplify!)

• 6 : 3

• 1 : 2

• 6 : 9

• 2 : 1

Multiple Choice

What is the ratio of triangles to total shapes? (Simplify!)

• 18 : 9

• 1 : 2

• 9 : 18

• 2 : 1

Open Ended

In your own words: What is a rate?

​Rate: A ratio comparing amounts of 2 different units

Special word: PER!

EXAMPLES:

miles PER hours, dollars PER coffees, slices PER cakes, etc.

Multiple Choice

I drink 2 coffees in 4 days. What is my rate?

• 2 coffees per 2 days (2: 2)

• 2 coffees per 4 days (2 : 4)

• 2 days per 4 coffees (4 : 2)

• 8 coffees per 8 days (8 : 8)

Multiple Choice

There are 45 students for every 3 teachers. What is the rate?

• 45 students per 3 teachers (45 : 3)

• 45 students per 3 teachers (3 : 45)

• 15 students

• 15 teachers per student (15:1)

Multiple Choice

What makes a UNIT RATE special?

• It has a denominator of 1.

• It compares two different amounts.

• It always has the same units.

• Both amounts are 1.

​UNIT RATES ALWAYS HAVE A DENOMINATOR OF 1!

We want to know how much per "one" of something!

​

​Example: 15 miles per ONE hour

Multiple Choice

I drive 360 miles over 6 hours. What is my unit rate?

• 60 miles per 1 hour (60 : 1)

• 2,160 miles per 1 hour

  (2,160 : 1)

• 0.017 miles per 1 hour

  (0.017 : 1)

• 60 hours per 1 mile

  (1 : 60)

Multiple Choice

I buy 5 cakes for $30. What is the unit price?

• $0.17 per cake

• 6 cakes per $1

• $6 per cake

• $150 total