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5 minute check complete in your notes. 1. 20 mi/h = ? ft/min 2. 16cm/min = ? m/h 3. 45 mi/h = ? ft/s...

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  • 5 Minute Check Complete in your notes. 1. 20 mi/h = ? ft/min 2. 16cm/min = ? m/h 3. 45 mi/h = ? ft/s 4. 26cm/s = ? m/min You can use your calculator for
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5 Minute Check Complete in your notes. 1. 20 mi/h = ? ft/min 2. 16cm/min = ? m/h 3. 45 mi/h = ? ft/s 4. 26cm/s = ? m/min You can use your calculator for this lesson.

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  • Slide 1
  • 5 Minute Check Complete in your notes. 1. 20 mi/h = ? ft/min 2. 16cm/min = ? m/h 3. 45 mi/h = ? ft/s 4. 26cm/s = ? m/min You can use your calculator for this lesson.
  • Slide 2
  • 5 Minute Check Complete in your notes. 1. 20 mi/h = ? ft/min
  • Slide 3
  • 5 Minute Check
  • Slide 4
  • Complete in your notes. 2. 16cm/min = ? m/h
  • Slide 5
  • 5 Minute Check
  • Slide 6
  • Complete in your notes. 3. 45 mi/h = ? ft/s
  • Slide 7
  • 5 Minute Check
  • Slide 8
  • Complete in your notes. 4. 26cm/s = ? m/min
  • Slide 9
  • 5 Minute Check
  • Slide 10
  • Wednesday, Jan 7 Lesson 7.1.4 Proportional and Nonproportional Relationships
  • Slide 11
  • Solve One-Step Inequalities
  • 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
  • Proportional and Nonproportional Relationships Objective: To identify and understand proportional and nonproportional relationships.
  • Slide 26
  • Proportional and Nonproportional Relationships Two quantities are proportional if they have a constant ratio or rate. All of the ratios above are equivalent ratios because they all have the same value.
  • Slide 27
  • Proportional and Nonproportional Relationships For relationships in which the ratio is not constant, the two quantities are nonproportional.
  • Slide 28
  • Proportional and Nonproportional Relationships Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 1 Make a table.
  • Slide 29
  • Proportional and Nonproportional Relationships Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 1 Make a table.
  • Slide 30
  • Proportional and Nonproportional Relationships Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 2 Simplify the rates or ratios.
  • Slide 31
  • Proportional and Nonproportional Relationships Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 2 Simplify the rates or ratios.
  • Slide 32
  • Proportional and Nonproportional Relationships Andrew earns $18 per hour for mowing lawns. Is the amount of money he earns proportional to the number of hours he spends mowing? Explain. How to Determine if a Rate or Ratio is Proportional. Step 2 Simplify the rates or ratios. Since all rates can be simplified to 18, they are proportional.
  • Slide 33
  • Proportional and Nonproportional Relationships Uptown Tickets charges $7 per baseball ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain. Step 1 - ?
  • Slide 34
  • Proportional and Nonproportional Relationships Uptown Tickets charges $7 per baseball ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain. Step 2 - ? (It doesnt matter which unit is top or bottom)
  • Slide 35
  • Proportional and Nonproportional Relationships Uptown Tickets charges $7 per baseball ticket plus a $3 processing fee per order. Is the cost of an order proportional to the number of tickets ordered? Explain. Since all rates do not simplify to the same, they are nonproportional.
  • Slide 36
  • Proportional and Nonproportional Relationships You can use recipe shown to make fruit punch. Is the amount of sugar used proportional to the amount of mix used? Explain. Do this on your own.
  • Slide 37
  • Proportional and Nonproportional Relationships You can use recipe shown to make fruit punch. Is the amount of sugar used proportional to the amount of mix used? Explain. Since all rates can be simplified to 0.5, they are proportional.
  • Slide 38
  • Proportional and Nonproportional Relationships The tables shown represent the number of pages Martin and Gabriel read over time. Which situation represents a proportional relationship between the time spent reading and the number of pages read? Explain. Do this on your own.
  • Slide 39
  • Proportional and Nonproportional Relationships
  • Slide 40
  • The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you rent the boat proportional to the total cost? Explain. Do this on your own.
  • Slide 41
  • Proportional and Nonproportional Relationships The Vista Marina rents boats for $25 per hour. In addition to the rental fee, there is a $12 charge for fuel. Is the number of hours you rent the boat proportional to the total cost? Explain. No, The cost to times ratios are not the same.
  • Slide 42
  • Proportional and Nonproportional Relationships Which situation represents a proportional relationship between the number of laps run by each student and their time?
  • Slide 43
  • Proportional and Nonproportional Relationships Which situation represents a proportional relationship between the number of laps run by each student and their time? Desmonds time is proportional. It takes him 73s for every lap.
  • Slide 44
  • Proportional and Nonproportional Relationships Plant A is 18 inches tall after 1 week, 36 inches after 2 weeks, 56 inches after 3 weeks. Plant B is 18 inches tall after 1 week, 36 inches after 2 weeks, 54 inches after 3 weeks. Which represents a proportional relationship between the height and number of weeks?
  • Slide 45
  • Proportional and Nonproportional Relationships Plant A is 18 inches tall after 1 week, 36 inches after 2 weeks, 56 inches after 3 weeks. Plant B is 18 inches tall after 1 week, 36 inches after 2 weeks, 54 inches after 3 weeks. Which represents a proportional relationship between the height and number of weeks? Plant APlant B Plant B grows at 18 inches per week. Height183656 Weeks123 Height183654 Weeks123
  • Slide 46
  • Proportional and Nonproportional Relationships Johannas parents give her $10 per week for lunch money. Blake ran laps around the gym. His times are shown in the table. Blake is trying to decide whether the number of laps is proportional to the time. Find his mistake and correct it.
  • Slide 47
  • Proportional and Nonproportional Relationships Johannas parents give her $10 per week for lunch money. Blake ran laps around the gym. His times are shown in the table. Blake is trying to decide whether the number of laps is proportional to the time. Find his mistake and correct it. They are not proportional. The 1 st min was 25 sec per lap, the 2 nd min was 33 sec per lap.
  • Slide 48
  • Proportional and Nonproportional Relationships Johannas parents give her $10 per week for lunch money. True or false? If a function rule has only multiplication and/or division it is a proportional relationship. Give examples to support your answer.
  • Slide 49
  • Proportional and Nonproportional Relationships Johannas parents give her $10 per week for lunch money. True or false? If a function rule has only multiplication and/or division it is a proportional relationship. Give examples to support your answer. If a simplified function rule has only multiplication and/or division it is a proportional relationship. Proportional Nonproportional x3x 13 26 39 x3x +2 15 28 311
  • Slide 50
  • Proportional and Nonproportional Relationships Homework Homework Practice 7.1.4 Due Thursday, Jan 8 Mid-Chapter 7.1 Quiz Changed to Friday, Jan 9

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