Proportional or Non-Proportional (Tables)

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What is a proportional relationship?

Back

A proportional relationship is one in which two quantities maintain a constant ratio or rate. For example, if you double one quantity, the other quantity also doubles.

Tags

CCSS.7.RP.A.2A

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What is a non-proportional relationship?

Back

A non-proportional relationship is one in which the ratio between two quantities is not constant. For example, if you increase one quantity, the other may not increase in a consistent manner.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a proportional relationship using a table?

Back

In a table, a proportional relationship can be identified if the ratios of corresponding values are the same. For example, if the values in the first column are 2, 4, 6 and the second column values are 1, 2, 3, the ratios (2:1, 4:2, 6:3) are all equal.

Tags

CCSS.7.RP.A.2A

Front

What does it mean if a table shows non-proportional values?

Back

If a table shows non-proportional values, it means that the ratios of the corresponding values are not the same. For example, if the first column values are 1, 2, 3 and the second column values are 2, 4, 7, the ratios (1:2, 2:4, 3:7) are not equal.

Tags

CCSS.6.RP.A.3A

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Give an example of a proportional relationship in real life.

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An example of a proportional relationship in real life is the relationship between distance and time when traveling at a constant speed. If you travel at 60 miles per hour, the distance covered is proportional to the time spent traveling.

Tags

CCSS.7.RP.A.2A

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What is the constant of proportionality?

Back

The constant of proportionality is the constant ratio between two proportional quantities. It can be found by dividing one quantity by the other.

Tags

CCSS.7.RP.A.2B

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How can you represent a proportional relationship graphically?

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A proportional relationship can be represented graphically by a straight line that passes through the origin (0,0). The slope of the line represents the constant of proportionality.

Tags

CCSS.7.RP.A.2D

Front

What is the difference between direct and inverse proportionality?

Back

Direct proportionality means that as one quantity increases, the other also increases. Inverse proportionality means that as one quantity increases, the other decreases.

Tags

CCSS.7.RP.A.2A

Front

What is an example of a non-proportional relationship?

Back

An example of a non-proportional relationship is the relationship between the number of hours worked and the total pay if there is a fixed salary plus overtime pay. The total pay does not increase at a constant rate.

Tags

CCSS.7.RP.A.2A

Front

How do you determine if a relationship is proportional using equations?

Back

To determine if a relationship is proportional using equations, check if the equation can be written in the form y = kx, where k is a constant. If it can, the relationship is proportional.

Tags

CCSS.7.RP.A.2C