Lesson 4.2

Lesson 4.2 Ratios and Rates
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Math6th Grade

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Lesson 4.2 Ratios and Rates

Slide 1 - Diapositive

Learning Objective 
We will be able to determine the ratio and rate of a problem. 

Slide 2 - Diapositive

Why? 
  • Junior high and high school.
  • Daily life- driving, shopping, 

Slide 3 - Diapositive

What is a ratio in your own words?

Slide 4 - Question ouverte

Rate
Rate: a ratio that compares 2 quantities of different units (labels). 
  • miles per hour (mph)miles per gallon (mpg)
  • beats per minute (bpm)

Slide 5 - Diapositive

What is a rate in your own words?

Slide 6 - Question ouverte

Complete the table
# of boxes
1
Cookies
6
2
5
4
18
12
3
24
30

Slide 7 - Question de remorquage

Unit Rate
Unit Rate: a rate that compares something to 1 unit. 
  • Buy 2 for $4                                     Buy 1 for $2

Slide 8 - Diapositive

Unit Rate- Your turn 
Unit Rate: a rate that compares something to 1 unit. 
  • Buy 3 for $18                                    Unit Rate? 

Slide 9 - Diapositive

Unit Rate?  
  • 48 minutes                           
12 miles   

Slide 10 - Diapositive

Unit Rate?  
  • 48 minutes ÷ 12                          
12 miles   ÷ 12

Slide 11 - Diapositive

Unit Rate?  
  • 48 minutes ÷ 12                          4 min 
12 miles   ÷ 12
1 mile

Slide 12 - Diapositive

Unit Rate?  
  • 48 minutes ÷ 12                          4 min 
12 miles   ÷ 12
1 mile
4 minutes per mile 

Slide 13 - Diapositive

Unit Rate?  
Joaquin 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?  

Slide 14 - Diapositive

Unit Rate?   
  • 72 hot dogs                              
36 minutes

Slide 15 - Diapositive

Unit Rate?   
  • 72 hot dogs    ÷ 36                      
36 minutes÷ 36

Slide 16 - Diapositive

Unit Rate?
  • 72 hot dogs    ÷ 36                      2 hot dogs 
36 minutes÷ 36
  1 minute
2 hot dogs per minute 

Slide 17 - Diapositive

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

Slide 18 - Diapositive

Unit Rate- Your Turn 
  • 30 miles ÷ 6                      miles 
6 hours÷ 6
  1 hour
5 miles per hour 

Slide 19 - Diapositive

Three ways to write a ratio?
There are 5 cats to every 3 dogs.

Slide 20 - Question ouverte

Claire saves $20 each week to buy a tabby cat. Complete the table to find out how much money Claire will have on the fifth week.  
Cat $
40
Week
1
2
4
5
20
60
100
80
3

Slide 21 - Question de remorquage

What is the ratio?
A
2:5
B
5:2
C
5 to 2
D
2:7

Slide 22 - Quiz

Explain how "six muffins per box"
is a ratio?

Slide 23 - Question ouverte

What is the ratio of the length to width?
A
8:2
B
1 to 4
C
2/8
D
16:2

Slide 24 - Quiz

Ava has 2 orange cats and 3 gray cats. Compare the ratio of orange cats to the total number of cats.
A
2 to 5
B
2:3
C
3:2
D
5/3

Slide 25 - Quiz