Ratios, unit rates and percents with double number lines

Front

What is a ratio?

Back

A ratio is a comparison of two quantities expressed as a fraction, indicating how many times one value contains or is contained within the other.

Tags

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).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit rate?

Back

A unit rate is a ratio that compares a quantity to one unit of another quantity, often expressed as 'per' something (e.g., miles per hour).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate a unit rate from a ratio?

Back

To calculate a unit rate from a ratio, divide the first quantity by the second quantity to find the value for one unit.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a double number line?

Back

A double number line is a visual representation that shows two related quantities along two parallel lines, helping to illustrate ratios and unit rates.

Tags

CCSS.7.RP.A.2D

Front

How can you use a double number line to find equivalent ratios?

Back

You can use a double number line by marking equivalent ratios along both lines, allowing you to see the relationship between the two quantities.

Tags

CCSS.6.RP.A.3A

Front

What does it mean to express a ratio as a fraction?

Back

Expressing a ratio as a fraction means writing the two quantities as a fraction, where the first quantity is the numerator and the second is the denominator.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you find the total number of items in a ratio?

Back

To find the total number of items in a ratio, add the parts of the ratio together.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the significance of the denominator in a ratio?

Back

The denominator in a ratio indicates the total number of parts into which the whole is divided, providing context for the comparison.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you interpret a ratio of 8:23?

Back

A ratio of 8:23 means that for every 8 parts of one quantity, there are 23 parts of another quantity, indicating a relationship between the two.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2