Ratios 6.RP.1, 6.RP.3, 6.RP.3a

Front

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.

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 of the ratio by their greatest common factor (GCF).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if two ratios are equivalent?

Back

Two ratios are equivalent if they represent the same relationship between quantities, meaning they can be simplified to the same form.

Tags

CCSS.6.RP.A.3A

Front

If a recipe calls for a ratio of 2:3 for sugar to flour, how much sugar is needed for 6 cups of flour?

Back

To find the amount of sugar needed, set up the ratio: 2/3 = x/6. Cross-multiply to get 3x = 12, so x = 4. You need 4 cups of sugar.

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a quantity to the entire quantity, often expressed as a fraction.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can ratios be represented visually?

Back

Ratios can be represented visually using models, such as pie charts, bar graphs, or by using objects to show the relationship.

Tags

CCSS.7.RP.A.2C

Front

What is the ratio of 8 to 12 in simplest form?

Back

The simplest form of the ratio 8:12 is 2:3, obtained by dividing both terms by their GCF, which is 4.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If there are 4 apples and 6 oranges, what is the ratio of apples to oranges?

Back

The ratio of apples to oranges is 4:6, which simplifies to 2:3.

Tags

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.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you convert a ratio to a percentage?

Back

To convert a ratio to a percentage, divide the first term by the sum of both terms and multiply by 100.