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

What is the equation for a proportional relationship?

Back

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

Tags

CCSS.7.RP.A.2C

Front

How do you find the constant of proportionality (k)?

Back

To find k, divide the value of y by the value of x in a proportional relationship.

Tags

CCSS.7.RP.A.2B

Front

If y = 8x, what is the value of k?

Back

The value of k is 8.

Tags

CCSS.6.EE.C.9

Front

If y = 1/4x, what does this tell you about the relationship between y and x?

Back

This indicates that for every 1 unit increase in x, y increases by 1/4 of that unit.

Tags

CCSS.6.EE.C.9

Front

How do you solve a problem using proportional reasoning?

Back

Identify the ratios involved, set up a proportion, and solve for the unknown quantity.

Tags

CCSS.7.RP.A.3

Front

If 1 cm on a map represents 25 km, how many kilometers does 7 cm represent?

Back

175 kilometers.

Tags

CCSS.6.RP.A.3B

Front

If it takes 18 minutes to type 14 pages, how long for 77 pages?

Back

99 minutes.

Tags

CCSS.6.RP.A.3B

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, 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 is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2