Ratios/Rates/Proportions

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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

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What is a rate?

Back

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

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is a proportion?

Back

A proportion is an equation that states that two ratios are equal, often used to solve for an unknown quantity.

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CCSS.7.RP.A.2A

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How do you calculate the cost per pound of an item?

Back

To calculate the cost per pound, divide the total cost by the total weight in pounds.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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If a person travels at a constant speed, how can you determine the distance traveled over time?

Back

Distance can be calculated using the formula: Distance = Speed x Time.

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CCSS.6.RP.A.3B

Front

What is the formula to find the speed of an object?

Back

Speed can be calculated using the formula: Speed = Distance / Time.

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CCSS.6.RP.A.3B

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How do you find the number of customers served in a given time based on a rate?

Back

To find the number of customers served, multiply the rate of customers served per time unit by the total time.

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CCSS.6.RP.A.3B

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What is the unit rate?

Back

The unit rate is a rate in which the second quantity is one unit, often used to simplify comparisons.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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How do you convert a total cost into a price per gallon?

Back

To find the price per gallon, divide the total cost by the number of gallons.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

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What is the significance of understanding ratios in real-life applications?

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Understanding ratios helps in making comparisons, understanding relationships between quantities, and solving problems in various contexts.