Ratios and Rates

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What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another, often expressed as 'a to b' or a:b.

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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 calculate the unit rate?

Back

To calculate the unit rate, divide the quantity by the number of units. For example, if you travel 300 miles in 5 hours, the unit rate is 300 miles ÷ 5 hours = 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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. For example, 2:3 and 4:6 are equivalent ratios.

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CCSS.6.RP.A.3A

Front

How can you use proportions to solve problems?

Back

Proportions can be used to solve problems by setting two ratios equal to each other and cross-multiplying to find the unknown value.

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CCSS.7.RP.A.3

Front

If a recipe requires 2 cups of flour for every 3 cups of sugar, what is the ratio of flour to sugar?

Back

The ratio of flour to sugar is 2:3.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula for calculating speed?

Back

Speed is calculated using the formula: Speed = Distance ÷ Time.

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CCSS.6.RP.A.3B

Front

If a car travels 240 miles in 4 hours, what is its speed?

Back

The speed of the car is 240 miles ÷ 4 hours = 60 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the expected value in a probability scenario?

Back

To find the expected value, multiply each outcome by its probability and sum all the products.

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CCSS.HSS.MD.A.2

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, where the first quantity is the numerator and the second quantity is the denominator.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2