6.1 & 6.12 Ratios, Rates, & Proportions

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What is a ratio?

Back

A ratio is a comparison of two quantities that shows 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

How do you calculate the unit cost?

Back

To calculate the unit cost, divide the total cost by the number of units. For example, if 15 pizzas cost $97.50, the unit cost is $97.50 ÷ 15 = $6.50 per pizza.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of girls to boys if there are 5 boys and 7 girls?

Back

The ratio of girls to boys is 7 to 5.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do 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 (GCD).

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of coaches to players if there are 10 players and 3 coaches?

Back

The ratio of coaches to players is 3 to 10.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean for two ratios to be equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they simplify to the same fraction.

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CCSS.6.RP.A.3A

Front

What is the equivalent ratio of 3:4?

Back

An equivalent ratio of 3:4 is 6:8.

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CCSS.6.RP.A.3A

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How do you write a ratio as a fraction?

Back

To write a ratio as a fraction, place the first quantity over the second quantity. For example, the ratio 3:4 can be written as 3/4.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If there are 12 red circles and 16 blue stars, what is the ratio of red circles to blue stars?

Back

The ratio of red circles to blue stars is 12:16, which simplifies to 3:4.

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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 quantities with 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