Rates and Ratios

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.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you simplify a ratio?

Back

To simplify a ratio, divide both terms by their greatest common divisor (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price per item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the unit price?

Back

To find the unit price, divide the total price by the quantity of the item.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for the surface area of a rectangular prism?

Back

The surface area (SA) = 2(lw + lh + wh), where l = length, w = width, h = height.

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CCSS.7.G.B.6

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between two quantities, even if the numbers are different.

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CCSS.6.RP.A.3A

Front

How do you convert pounds to ounces?

Back

To convert pounds to ounces, multiply the number of pounds by 16 (since 1 pound = 16 ounces).

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CCSS.4.MD.A.1

Front

If Heather runs 3,000 feet in 5 minutes, how do you find her speed in feet per minute?

Back

To find speed, divide the distance by time: Speed = 3000 feet / 5 minutes = 600 feet per minute.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between rates and ratios?

Back

Rates are a type of ratio that compares two different units, while ratios can compare any two quantities.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you solve for an unknown in a ratio?

Back

To solve for an unknown in a ratio, set up a proportion and cross-multiply to find the missing value.