Lesson 4.2

• Math
• 6th Grade

Lesson 4.2: 

Ratios and Rates

Learning Objective: 

We will be able to determine the rate and unit rate of a problem. 

Why do we learn this? 

• Daily life: driving, shopping, cooking!
  
• 6th grade life: gaming, school, sports! 

What is a ratio in your own words?

Complete the table

# of boxes	1
Cookies	6

2

5

4

18

12

3

24

30

Rate

Rate: a ratio that compares 2 quantities of different units (labels). 

• miles per hour (mph)
• miles per gallon (mpg)
• beats per minute (bpm)

MORE examples of rate! 

Gaming: points per second, materials per second, 

damage per second 

School:  pages per minute, questions per minute 

Sports: laps per minute, points per minute  

What is a rate in your own words?

Unit Rate

Unit Rate: a rate that compares something to 1 unit. 

• Buy 2 for $4                                     Buy 1 for $2

Unit Rate?  

• 48 minutes                           

12 miles   

Unit Rate?  

• 48 minutes ÷ 12                          

12 miles   ÷ 12

Unit Rate?  

• 48 minutes ÷ 12                          4 min 

12 miles   ÷ 12

1 mile

Unit Rate?  

• 48 minutes ÷ 12                          4 min 

12 miles   ÷ 12

1 mile

4 minutes per mile 

What is the unit rate?
Buy 3 for $18 ----------------> Unit rate?

1. 3:18
2. 0.16
3. 6
4. 12

Unit Rate?  

Steve entered a hot dog eating contest. He ate 72 hot dogs in 36 minutes. What is the unit rate for hot dogs in 1 minute?  

Unit Rate?   

• 72 hot dogs                              

36 minutes

Unit Rate?   

• 72 hot dogs    ÷ 36                      

36 minutes÷ 36

Unit Rate?

• 72 hot dogs    ÷ 36                      2 hot dogs 

36 minutes÷ 36

  1 minute

2 hot dogs per minute 

Daisy went on a jog and ran 30 miles in 6 hours. What is the unit rate for miles in 1 hour?

Unit Rate of Daisy's jog

• 30 miles ÷ 6                      5 miles 

6 hours÷ 6

  1 hour

5 miles per hour 

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