Ratios and Proportional Relationships

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, showing how many times one value contains or is contained within the other.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for two figures to be similar?

Back

Two figures are similar if their corresponding angles are equal and the ratios of their corresponding sides are equal.

Tags

CCSS.8.G.A.2

CCSS.HSG.CO.B.6

Front

How do you determine if two ratios are equivalent?

Back

Two ratios are equivalent if they simplify to the same fraction or if their cross products are equal.

Tags

CCSS.6.RP.A.3A

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Tags

CCSS.7.RP.A.2A

Front

What is the formula for finding a missing side in similar figures?

Back

If two figures are similar, the ratio of their corresponding sides is equal to the ratio of their corresponding lengths.

Tags

CCSS.HSG.SRT.A.2

Front

What does it mean for a graph to be proportional?

Back

A graph is proportional if it passes through the origin (0,0) and has a constant rate of change.

Tags

CCSS.8.EE.B.5

Front

What is the slope of a proportional relationship?

Back

The slope of a proportional relationship is the constant ratio of the change in the y-value to the change in the x-value.

Tags

CCSS.7.RP.A.2D

Front

How can you identify a non-proportional relationship from a graph?

Back

A non-proportional relationship does not pass through the origin and has a varying rate of change.

Tags

CCSS.7.RP.A.2D

Front

What is the equation of a proportional relationship?

Back

The equation of a proportional relationship can be expressed as y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

What does the constant of proportionality represent?

Back

The constant of proportionality (k) represents the ratio of y to x in a proportional relationship.

Tags

CCSS.7.RP.A.2B