06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
Do Now:
The table below shows how much it cost the Class of
2018 to buy medium Pizza Pies for their Pizza sales.
For each number of pizza pies ordered, write the
relationship of cost to number of pizzas as a ratio in
simplest form.
What do you notice about each ratio?
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1
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
Pizza Palace charges $8 for each pie and a $2
delivery charge.
The table below shows how much it cost the Class of
2018 to buy medium Pizza Pies for their Pizza sales
after having the pies delivered.
For each number of pizza pies ordered, write the
relationship of cost to number of pizzas as a ratio in
simplest form.
What do you notice about each ratio?
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2
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
#
Proportional Relationships
Two quantities are proportional if they have a constant ratio.
[They can be simplified to the same ratio]
To determine if a relationship is proportional:
• simplify all ratios
• if they are all equivalent then the relationship is
proportional
Example 1: Andrew earns $18 per hour for mowing
lawns. Is the amount he earns proportional to the
number of hours he spends mowing? Explain.
Example 2: Uptown tickets charges $7 per baseball game ticket
plus a $3 processing fee per order. Is the cost of an order
proportional to the number of tickets ordered? Explain.
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3
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
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4
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
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5
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
6
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
7
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
8
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
9
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
10
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
11
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
12
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
13
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
14
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
AutoSave
15
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
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16
06_06_Proportional_relationships
September 20, 2016
Topic: Ratios and Proportional Relationships
Aim: What is a proportional relationship?
Summary!!!
Homework
Sheet 2-20
• What makes two quantities proportional?
• Does a pattern in a table automatically mean that a
proportional relationship is present?
• How can you show that two objects are proportional?
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