Ratios and Proportions I

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, showing the relative size of one quantity to another.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a ratio?

Back

A ratio can be expressed in three ways: as a fraction, with a colon (e.g., 5:3), or with the word 'to' (e.g., 5 to 3).

Tags

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.

Tags

CCSS.6.RP.A.3A

Front

In the ratio of dogs to cats being 5 to 3, if there are 25 dogs, how many cats are there?

Back

There are 15 cats.

Front

If there are 5 boys and 7 girls, what is the ratio of girls to boys?

Back

The ratio of girls to boys is 7 to 5.

Tags

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).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the simplest form of the ratio 15 girls to 6 boys?

Back

The simplest form of the ratio is 5/2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find an unknown in equivalent ratios?

Back

If a:b = c:k, then k = (b * c) / a.

Front

How can you represent the ratio of two quantities as a fraction?

Back

To represent the ratio of two quantities as a fraction, place the first quantity in the numerator and the second quantity in the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the relationship between ratios and proportions?

Back

A proportion states that two ratios are equal, often written as a/b = c/d.

Tags

CCSS.6.RP.A.3A