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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5 Minute Check Complete in your notes. 1. 20 mi/h = ?
ft/min
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5 Minute Check
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Complete in your notes. 2. 16cm/min = ? m/h
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5 Minute Check
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Complete in your notes. 3. 45 mi/h = ? ft/s
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5 Minute Check
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Complete in your notes. 4. 26cm/s = ? m/min
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5 Minute Check
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Wednesday, Jan 7 Lesson 7.1.4 Proportional and Nonproportional
Relationships
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Solve One-Step Inequalities
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Proportional and Nonproportional Relationships Objective: To
identify and understand proportional and nonproportional
relationships.
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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.
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Proportional and Nonproportional Relationships For
relationships in which the ratio is not constant, the two
quantities are nonproportional.
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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.
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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.
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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.
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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.
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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.
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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 - ?
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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)
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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.
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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.
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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.
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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.
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Proportional and Nonproportional Relationships
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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.
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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.
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Proportional and Nonproportional Relationships Which situation
represents a proportional relationship between the number of laps
run by each student and their time?
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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.
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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?
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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
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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.
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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.
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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.
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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
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Proportional and Nonproportional Relationships Homework
Homework Practice 7.1.4 Due Thursday, Jan 8 Mid-Chapter 7.1 Quiz
Changed to Friday, Jan 9