6th Grade Unit Rates and Rates 134

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, like miles per hour or price per item.

Front

How do you calculate a unit rate?

Back

To calculate a unit rate, divide the quantity by the number of units. For example, if you have 60 miles in 2 hours, the unit rate is 60 miles ÷ 2 hours = 30 miles per hour.

Front

What is a ratio?

Back

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

Front

If there are 8 red apples and 6 green apples, what is the ratio of red apples to green apples?

Back

The ratio of red apples to green apples is 8:6, which can be simplified to 4:3.

Front

How do you find the cost of an item based on a unit rate?

Back

To find the cost of an item based on a unit rate, multiply the unit rate by the number of units you want to purchase.

Front

If Marcus spends $40 on 5 pounds of concrete, what is the cost per pound?

Back

The cost per pound is $40 ÷ 5 pounds = $8 per pound.

Front

How do you determine distance traveled at a constant speed?

Back

To determine distance traveled at a constant speed, multiply the speed by the time traveled. For example, if the speed is 65 miles per hour and the time is 3 hours, the distance is 65 miles/hour × 3 hours = 195 miles.

Front

If Ernie travels 195 miles in 3 hours, how far will he travel in 5 hours?

Back

Ernie will travel 325 miles in 5 hours, calculated by finding the speed (195 miles ÷ 3 hours = 65 miles/hour) and then multiplying by 5 hours.

Front

What is the calorie count per slice if 2 slices of pizza have 230 calories?

Back

The calorie count per slice is 230 calories ÷ 2 slices = 115 calories per slice.

Front

How many calories are in 5 slices of pizza if 2 slices have 230 calories?

Back

There are 575 calories in 5 slices, calculated by finding the calories per slice (115 calories) and multiplying by 5 slices.