Ratios and Proportions

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, 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

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

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CCSS.7.RP.A.2A

Front

How do you find the unit rate?

Back

To find the unit rate, divide the quantity by the number of units. For example, if a car travels 440 miles in 8 hours, the unit rate is 440 miles ÷ 8 hours = 55 miles per hour.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for two quantities to be proportional?

Back

Two quantities are proportional if they maintain a constant ratio or rate.

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CCSS.7.RP.A.2A

Front

How do you determine the least expensive unit price?

Back

To determine the least expensive unit price, calculate the price per unit for each option and compare them.

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CCSS.6.RP.A.3B

Front

If the ratio of tenants to cars is 3:5 and there are 30 tenants, how many cars are there?

Back

There are 50 cars. (30 tenants / 3 = 10 units; 10 units * 5 cars/unit = 50 cars.)

Front

What is the price per ticket if 4 concert tickets cost $252?

Back

The price per ticket is $63.00. ($252 ÷ 4 tickets = $63.00 per ticket.)

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit price?

Back

A unit price is the cost per single unit of a product, allowing for easy comparison between different sizes or quantities.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you express a ratio in simplest form?

Back

To express a ratio in simplest form, divide both terms of the ratio by their greatest common divisor.

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CCSS.6.RP.A.1

CCSS.6.RP.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