Exploring Proportional vs Nonproportional Relationships

The video tutorial explores how to compare proportional and non-proportional relationships using graphs, tables, and equations. It uses a bowling scenario with Martin and Isabelle to illustrate these concepts. Martin's costs are proportional, represented by a straight line through the origin, while Isabelle's costs are non-proportional due to an additional shoe rental fee, resulting in a linear but non-origin graph. The tutorial demonstrates how to identify and differentiate these relationships through equations and graphical representation.

What are the two types of relationships being compared in the video?

• Direct and Inverse

• Proportional and Non-proportional

• Linear and Non-linear

• Constant and Variable

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CCSS.8.EE.B.5

How much does Martin pay for one game of bowling?

• Eight dollars

• Five dollars

• Three dollars

• Ten dollars

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CCSS.6.RP.A.3B

What is the unit rate for Martin's bowling costs?

• 5

• 3

• 10

• 15

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

What is the equation representing Martin's bowling costs?

• y = 3x

• y = 5x + 3

• y = 5x

• y = 10x

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CCSS.5.OA.B.3

What additional cost does Isabelle have that Martin does not?

• Game fee

• Shoe rental fee

• Membership fee

• Parking fee

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CCSS.7.EE.B.3

What is the total cost for Isabelle if she bowls two games?

• Fifteen dollars

• Eight dollars

• Thirteen dollars

• Ten dollars

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CCSS.3.OA.D.8

Why is Isabelle's bowling cost considered non-proportional?

• It has a unit rate of 5

• It forms a straight line

• It has a constant rate of change

• It does not go through the origin

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CCSS.7.RP.A.2D

What is the equation representing Isabelle's bowling costs?

• y = 5x + 3

• y = 5x

• y = 10x

• y = 3x

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CCSS.5.OA.B.3

What are the two key features of a proportional graph?

• Curved line and goes through the origin

• Curved line and does not go through the origin

• Straight line and goes through the origin

• Straight line and does not go through the origin

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CCSS.7.RP.A.2D

What makes a relationship non-proportional?

• It has a constant rate of change

• It forms a straight line

• It does not go through the origin

• It has a unit rate

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CCSS.7.RP.A.2D