3.1 Understanding Ratios

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can ratios be expressed?

Back

Ratios can be expressed in three different ways: as a fraction, using a colon (e.g., 3:4), or in words (e.g., '3 to 4').

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of seals to animals if there are 3 seals and 5 other animals?

Back

The ratio of seals to animals is 3:8.

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CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If Miss Williams plants 3 daisies and 6 sunflowers, what is the ratio of daisies to sunflowers?

Back

The ratio of daisies to sunflowers is 3:6, which simplifies to 1:2.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the ratio of roses to sunflowers if there are 8 roses and 6 sunflowers?

Back

The ratio of roses to sunflowers is 8:6, which simplifies to 4:3.

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

In a group of 6 purple circles and 5 red circles, what is the ratio of purple circles to red circles?

Back

The ratio of purple circles to red circles is 6:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the total number of animals if there are 4 birds and 6 snakes?

Back

The total number of animals is 4 + 6 = 10.

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CCSS.1.OA.A.1

Front

What is the ratio of birds to total animals if there are 4 birds and 6 snakes?

Back

The ratio of birds to total animals is 4:10, which simplifies to 2:5.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a ratio is expressed as a fraction?

Back

Expressing a ratio as a fraction shows the part-to-whole relationship, indicating how many parts of one quantity exist for every total number of parts.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2