6th Grade Unit Rate and Proportions

Front

What is a unit rate?

Back

A unit rate is a comparison of two different quantities where one of the quantities is expressed as a quantity of one. For example, if a car travels 300 miles in 5 hours, the unit rate is 60 miles per hour.

Front

How do you find the cost of multiple items using unit rates?

Back

To find the cost of multiple items, multiply the unit rate (cost per item) by the number of items. For example, if one app costs $3, then 7 apps would cost 3 x 7 = $21.

Front

What is a ratio?

Back

A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, the ratio of 3 to 4 can be written as 3:4.

Front

How do you fill in missing values in a ratio table?

Back

To fill in missing values in a ratio table, maintain the same relationship between the quantities. Use multiplication or division to find the missing value based on the known values.

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal. For example, if 1/2 = 2/4, then these two ratios are in proportion.

Front

How do you solve for a variable in a proportion?

Back

To solve for a variable in a proportion, cross-multiply the ratios and then isolate the variable. For example, if a/b = c/d, then a*d = b*c.

Front

What is calorie expenditure?

Back

Calorie expenditure refers to the number of calories burned during physical activity. It can be calculated based on the duration and intensity of the activity.

Front

How do you calculate calories burned per minute?

Back

To calculate calories burned per minute, divide the total calories burned by the total time in minutes. For example, if 120 calories are burned in 30 minutes, then 120/30 = 4 calories per minute.

Front

What is the relationship between time and calories burned in exercise?

Back

The relationship is often linear; as time increases, the calories burned also increase proportionally, assuming the intensity of the exercise remains constant.

Front

How do you determine the number of specific items in a group?

Back

To determine the number of specific items in a group, use the total number of items and the known quantities of other items to find the missing quantity.