ratios, rates and unit rates

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 calculate a unit rate?

Back

A unit rate is calculated by dividing the quantity of one item by the quantity of another item, typically expressed as 'per unit' (e.g., miles per hour, cost per item).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the difference between a ratio and a rate?

Back

A ratio compares two quantities of the same kind, while a rate compares two quantities of different kinds (e.g., speed is a rate comparing distance and time).

Tags

CCSS.6.RP.A.3A

Front

What is a part-to-whole ratio?

Back

A part-to-whole ratio compares a part of a group to the entire group, indicating how much of the whole is made up of that part.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How can you determine which option is a better buy when comparing prices?

Back

To determine the better buy, calculate the unit price for each option (price per item) and compare them; the option with the lower unit price is the better buy.

Tags

CCSS.6.RP.A.3B

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

What is a rate?

Back

A rate is a specific kind of ratio that compares two different units, such as speed (miles per hour) or price (cost per item).

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

How do you express a ratio of boys to girls if there are 7 boys and 9 girls?

Back

The ratio of boys to girls is expressed as 7 to 9 or 7:9.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

Front

What is the significance of unit rates in real-life applications?

Back

Unit rates help consumers make informed decisions by allowing them to compare prices, speeds, and other quantities on a consistent basis.

Tags

CCSS.6.RP.A.3B

Front

What is the formula for calculating a unit price?

Back

Unit Price = Total Price / Number of Units.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2