5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 1. 16 points scored in 4 games;
48 points scored in 8 games. 2. 96 words in 3 minutes;160 words in
5 minutes 3. 15 computers for 45 students; 45 computers for 135
students 4. 16 out of 28 students; 240 out of 560 students.
Slide 2
5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 1. 16 points scored in 4 games;
48 points scored in 8 games. 16 points ? 48 points 4 games = 8
games 4 points 6 points 1 game 1 game
Slide 3
5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 2. 96 words in 3 minutes;160
words in 5 minutes.
Slide 4
5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 2. 96 words in 3 minutes;160
words in 5 minutes. 96 words ? 160 words 3 minutes = 5 minutes 32
words 32 words 1 minute = 1 minute
Slide 5
5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 3. 15 computers for 45
students; 45 computers for 135 students.
Slide 6
5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 3. 15 computers for 45
students; 45 computers for 135 students. 15 computers ? 45
computers 45 students = 135 students 1 computer 1 computer 3
students = 3 students
Slide 7
5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 4. 16 out of 28 students; 240
out of 560 students.
Slide 8
5 Minute Check Determine if each pair of rates or ratios are
equivalent. Explain your reasoning. 4. 16 out of 28 students; 240
out of 560 students. 16 ? 240 28 = 560 4 3 7 7
Slide 9
Inquiry Lab Turn to page 67 in your text
Slide 10
Inquiry Lab
Slide 11
Slide 12
Slide 13
Slide 14
Slide 15
Slide 16
Slide 17
Slide 18
Slide 19
Slide 20
Slide 21
Slide 22
Slide 23
Slide 24
Slide 25
Slide 26
Slide 27
Slide 28
Slide 29
Slide 30
Slide 31
Work with a partner to complete page 69 and 70. You have 15
minutes.
Slide 32
Tuesday, Sept 2 Lesson 6.1.7 Rate and Ratio Problems
Slide 33
Objective: To solve rate and ratio problems.
Slide 34
Rate and Ratio Problems You can use bar diagrams, rate or ratio
tables, or equivalent ratios to solve rate and ratio problems.
Slide 35
Rate and Ratio Problems
Slide 36
Method 1 Make a rate table. A rate table is the same as a ratio
table.
Slide 37
Rate and Ratio Problems Like Gel2 Total3150
Slide 38
Rate and Ratio Problems Like Gel22 Total33150
Slide 39
Rate and Ratio Problems Like Gel22 Total33150 x ?
Slide 40
Rate and Ratio Problems Like Gel22 Total33150 x 50
Slide 41
Rate and Ratio Problems Like Gel22100 Total33150 x 50
Slide 42
Rate and Ratio Problems Method 2 Set up equivalent rates or
ratios. Rule When setting up equivalent rates or ratios, always
include units.
Slide 43
Rate and Ratio Problems Rule When setting up equivalent rates
or ratios, always include units. In the above problem, what are our
units?
Slide 44
Rate and Ratio Problems ? gel ? gel ? total = ? total
Slide 45
Rate and Ratio Problems 2 gel ? gel 3 total = 150 total
Slide 46
Rate and Ratio Problems To Solve Rate and Ratio Problems by
Cross Multiplying. Step 1 Multiply across the rate or ratio. 2 gel
? gel 3 total = 150 total 2 x 150 = 300
Slide 47
Rate and Ratio Problems To Solve Rate and Ratio Problems by
Cross Multiplying. Step 2 Divide by the remaining number. 2 gel ?
gel 3 total = 150 total 2 x 150 = 300 3 = 100
Slide 48
Rate and Ratio Problems 2 ? 3 = 1502 x 150 = 300 3 = 100 100
students would prefer gel toothpaste.
Slide 49
Rate and Ratio Problems What are our units?
Slide 50
Rate and Ratio Problems What are our units? ? Lucas texts ?
Lucas texts ? Sister texts = ? Sister texts
Slide 51
Rate and Ratio Problems What are our units? 3 Lucas texts 18
Lucas texts 4 Sister texts = ? Sister texts Whats next?
Slide 52
Rate and Ratio Problems What are our units? 3 Lucas texts 18
Lucas texts 4 Sister texts = ? Sister texts 4 x 18 = 72 3 = 24 His
sister sent 24 texts.
Slide 53
Rate and Ratio Problems Do this on your own.
Slide 54
Rate and Ratio Problems 120 miles ? miles 3 hours = 5 hours 120
x 5 = 600 3 = 200 He drove 200 miles in 5 hours.
Slide 55
Rate and Ratio Problems Do this on your own.
Slide 56
Rate and Ratio Problems 3 science ? science 20 total = 400
total 3 x 400 = 1200 20 = 60 60 out of 400 students would choose
science.
Slide 57
Rate and Ratio Problems A Clydesdale drinks 120 gallons of
water every 6 days. At this rate, how many gallons of water does a
Clydesdale drink in 8 days? Do this on your own.
Slide 58
Rate and Ratio Problems A Clydesdale drinks 120 gallons of
water every 6 days. At this rate, how many gallons of water does a
Clydesdale drink in 8 days? 120 gallons ? gallons 6 days = 8 days
120 x 8 = 960 6 = 160 They would 160 gallons in 8 days.
Slide 59
Rate and Ratio Problems Out of 20 students surveyed, 13 have a
dog. Based on these results, predict how many of the 300 students
in the school have a dog. Do this on your own.
Slide 60
Rate and Ratio Problems Out of 20 students surveyed, 13 have a
dog. Based on these results, predict how many of the 300 students
in the school have a dog. 13 dog ? dog 20 total = 300 total 13 x
300 = 3900 20 = 195 195 would have dogs.
Slide 61
Rate and Ratio Problems The Millers drove 105 miles on 4
gallons of gas. At this rate, how many miles can they drive on 6
gallons of gas? Do this on your own.
Slide 62
Rate and Ratio Problems The Millers drove 105 miles on 4
gallons of gas. At this rate, how many miles can they drive on 6
gallons of gas? 105 miles ? miles 4 gallons = 6 gallons 105 x 6 =
630 4 = 157.5 They would travel 157.5 miles on 6 gallons.
Slide 63
Rate and Ratio Problems
Slide 64
Slide 65
Ratio and Ratio Problems Use the ratio table to determine how
many people 13 subs would serve. Explain.
Slide 66
Ratio and Ratio Problems Use the ratio table to determine how
many people 13 subs would serve. Explain. She forgot the units. 12
students ? teachers 1 teacher = 276 students
Slide 67
Ratio and Ratio Problems Use the ratio table to determine how
many people 13 subs would serve. Explain. She forgot the units. 12
students 276 students 1 teacher = ? teachers
Slide 68
Ratio and Ratio Problems Use the ratio table to determine how
many people 13 subs would serve. Explain. She forgot the units. 12
students 276 students 1 teacher = ? teachers 1 x 276 12 = 23
teachers
Slide 69
Rate and Ratio Problems Agenda Notes Homework Lesson 6.1.7
Homework Practice Due Wednesday, Sept 3 Circle all final answers!
Chapter 1 Test Thursday, Sept 4