Proportions

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

How do you set up a proportion to solve for an unknown?

Back

To set up a proportion, you can use the cross-multiplication method, where you multiply the means and the extremes.

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CCSS.7.RP.A.2C

Front

What is the cross-multiplication method?

Back

The cross-multiplication method involves multiplying the numerator of one ratio by the denominator of the other ratio and setting the two products equal to each other.

Tags

CCSS.6.RP.A.3A

Front

If 150 people wait 20 minutes, how do you find the waiting time for 1200 people?

Back

You can set up a proportion: 150/20 = 1200/x, then cross-multiply and solve for x.

Tags

CCSS.7.RP.A.3

Front

What is the formula for finding the total amount saved over time based on a rate?

Back

Total Savings = (Savings Rate) x (Time Period).

Tags

CCSS.6.RP.A.3B

Front

How do you determine how many items are needed based on a ratio?

Back

You can use the ratio to set up a proportion and solve for the unknown quantity.

Front

What is the relationship between inches and feet in terms of proportions?

Back

There are 12 inches in 1 foot, so to convert inches to feet, divide the number of inches by 12.

Tags

CCSS.6.RP.A.3B

Front

How do you solve for a variable in a proportion?

Back

You can isolate the variable by cross-multiplying and then dividing to find its value.

Tags

CCSS.7.RP.A.2C

Front

What is the significance of equivalent ratios in solving proportions?

Back

Equivalent ratios allow you to set up proportions that can be solved to find unknown values.

Tags

CCSS.7.RP.A.2C

Front

How can you apply proportions to real-life situations?

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Proportions can be used in various real-life situations such as cooking, budgeting, and planning events.

Tags

CCSS.7.RP.A.3