Proportional Relationships

Front

What is a proportional relationship?

Back

A proportional relationship is a relationship between two quantities where the ratio of one quantity to the other is constant.

Tags

CCSS.7.RP.A.2A

Front

How can you tell if a table represents a proportional relationship?

Back

A table represents a proportional relationship if the ratios of the values in the table are equivalent.

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CCSS.7.RP.A.2A

Front

What does it mean for two ratios to be proportional?

Back

Two ratios are proportional if they can be expressed as equivalent fractions.

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CCSS.7.RP.A.2D

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio in a proportional relationship, often represented as 'k'.

Tags

CCSS.7.RP.A.2B

Front

How do you find the constant of proportionality from a table?

Back

To find the constant of proportionality, divide one quantity by the corresponding quantity in the other column.

Tags

CCSS.7.RP.A.2B

Front

What is the graphical representation of a proportional relationship?

Back

A proportional relationship is represented by a straight line that passes through the origin (0,0) on a graph.

Tags

CCSS.7.RP.A.2D

Front

What does it mean if a graph does not pass through the origin?

Back

If a graph does not pass through the origin, it does not represent a proportional relationship.

Tags

CCSS.7.RP.A.2D

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Can a proportional relationship be represented by a linear equation?

Back

Yes, a proportional relationship can be represented by a linear equation of the form y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What is an example of a proportional relationship in real life?

Back

An example of a proportional relationship is the relationship between distance and time when traveling at a constant speed.

Tags

CCSS.7.RP.A.2A

Front

How do you determine if a set of ratios is proportional?

Back

To determine if a set of ratios is proportional, cross-multiply and check if the products are equal.

Tags

CCSS.7.RP.A.2A