Rates and Ratios

Front

What is a ratio?

Back

A ratio is a comparison of two quantities that shows the relative size of one quantity to another. It can be expressed in three ways: as a fraction, with a colon, or with the word 'to'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can a ratio be written?

Back

A ratio can be written in three ways: 1) as a fraction (e.g., 3/4), 2) with a colon (e.g., 3:4), and 3) using the word 'to' (e.g., 3 to 4). It cannot be written as an equation (e.g., 3=4).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is a unit rate?

Back

A unit rate is a rate in which the denominator is 1. It expresses how much of one quantity corresponds to one unit of another quantity.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If you spend $40 on 5 pounds of concrete, what is the unit rate in dollars per pound?

Back

$8 per pound.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you calculate the cost per item?

Back

To calculate the cost per item, divide the total cost by the number of items. For example, if 9 concert tickets cost $279, the cost per ticket is $279 ÷ 9 = $31.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the formula to find the unit rate?

Back

The formula to find the unit rate is: Unit Rate = Total Quantity / Number of Units.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

If it costs $46.80 to fill a 13-gallon gas tank, how do you find the price of gas per gallon?

Back

To find the price per gallon, divide the total cost by the number of gallons: $46.80 ÷ 13 = $3.60 per gallon.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What does it mean if a ratio is simplified?

Back

A simplified ratio means that the quantities have been reduced to their smallest whole number form, making it easier to understand the relationship between them.

Tags

CCSS.6.RP.A.3A

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities, while a rate compares two quantities with different units, such as speed (miles per hour) or price (dollars per pound).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you express a ratio of 2 to 3?

Back

You can express a ratio of 2 to 3 as 2:3, 2/3, or '2 to 3'.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2