Proportional Reasoning

Front

What is proportional reasoning?

Back

Proportional reasoning is the ability to compare ratios and understand the relationship between quantities that change in relation to each other.

Tags

CCSS.7.RP.A.3

Front

If a falcon flies 35 meters in 10 seconds, how do you find the time to fly 14 more meters?

Back

Use the ratio of distance to time: 35 meters/10 seconds = 14 meters/x seconds. Cross-multiply to find x.

Tags

CCSS.6.RP.A.3B

Front

What is the formula for a proportional relationship?

Back

The formula for a proportional relationship is y = kx, where k is the constant of proportionality.

Tags

CCSS.7.RP.A.2C

Front

How do you determine if a graph represents a proportional relationship?

Back

A graph represents a proportional relationship if it passes through the origin (0,0) and is a straight line.

Tags

CCSS.7.RP.A.2D

Front

What is the constant of proportionality in the equation y = 8x?

Back

The constant of proportionality is 8.

Tags

CCSS.7.RP.A.2B

Front

If 5 kilometers is equivalent to 3.1 miles, how many miles are in 20 kilometers?

Back

Use proportional reasoning: 5 km/3.1 miles = 20 km/x miles. Cross-multiply to find x, which is 12.4 miles.

Tags

CCSS.6.RP.A.3B

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio to each other.

Tags

CCSS.7.RP.A.2A

Front

How can you find the value of k in a proportional relationship?

Back

To find k, divide y by x in the equation y = kx.

Tags

CCSS.7.RP.A.2B

Front

What is the equation for a table where y doubles as x increases by 1?

Back

The equation is y = 2x.

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

Front

If y = 1/4x, what is the value of y when x = 8?

Back

y = 1/4 * 8 = 2.

Tags

CCSS.6.EE.C.9