A ratio that compares two different entities of different units is termed as ‘rates’. For example, Miles per hour. Here, the word ‘per’ gives a clue that we are dealing with rates. It can be replaced by a symbol ‘/’. Likewise, the ratio between two different units with the second term as 1 is referred to as ‘unit rates’. For instance, in one hour there are 60 minutes. Here, a unit rate can be expressed as 60 minutes per hour.
Grade 7
Rates And Proportional Relationships
7.RP.A.2
Teaching Finding Unit Rates Easily
A unit rate is the ratio between two different entities of different measurements.
Firstly, identify the two quantities. Such as, a and b. Here, a and b are two different quantities.
Then, determine the ratio between these two quantities. For example, a:b or a/b. The resultant value is the unit rate.
Unit Rate Formula = a:b = a/b.
Where, a and b are two different quantities.
Let us look at the given example mentioned below to understand more about ‘unit rates’.
Q. Jack harvests 20 acres per day and gets 200 bushels of wheat per acre. Using the unit rate formula, calculate the number of bushels of wheat he needs to harvest in a day.
Solution:
Step 1: Identify the two quantities.
Let, a = quantity harvested and b = number of days required.
So,
A = 20 * 200
a = 4000.
Step 2: Use the unit rate formula i.e a/b or a:b.
So,
4000/1 = 4000 bushels.
Hence, the number of bushels of wheat he needs to harvest in a day is 4000 bushels.
Why Should you use a Find unit rates (change in units) worksheet for your students?
Solving these worksheets will help your students to learn about different things like, ratio, quantities, rates and so on.
Unit Rate Worksheets will increase the efficiency of your students in solving the problems based on ratio and quantities.
Download Equations with Find unit rates (change in units) Worksheets PDF
A unit rate is the ratio between two different entities of different measurements.
Firstly, identify the two quantities. Such as, a and b. Here, a and b are two different quantities.
Then, determine the ratio between these two quantities. For example, a:b or a/b. The resultant value is the unit rate.
Unit Rate Formula = a:b = a/b.
Where, a and b are two different quantities.
Let us look at the given example mentioned below to understand more about ‘unit rates’.
Q. Jack harvests 20 acres per day and gets 200 bushels of wheat per acre. Using the unit rate formula, calculate the number of bushels of wheat he needs to harvest in a day.
Solution:
Step 1: Identify the two quantities.
Let, a = quantity harvested and b = number of days required.
So,
A = 20 * 200
a = 4000.
Step 2: Use the unit rate formula i.e a/b or a:b.
So,
4000/1 = 4000 bushels.
Hence, the number of bushels of wheat he needs to harvest in a day is 4000 bushels.
Why Should you use a Find unit rates (change in units) worksheet for your students?
Solving these worksheets will help your students to learn about different things like, ratio, quantities, rates and so on.
Unit Rate Worksheets will increase the efficiency of your students in solving the problems based on ratio and quantities.
Download Equations with Find unit rates (change in units) Worksheets PDF
A unit rate is the ratio between two different entities of different measurements.
Firstly, identify the two quantities. Such as, a and b. Here, a and b are two different quantities.
Then, determine the ratio between these two quantities. For example, a:b or a/b. The resultant value is the unit rate.
Unit Rate Formula = a:b = a/b.
Where, a and b are two different quantities.
Let us look at the given example mentioned below to understand more about ‘unit rates’.
Q. Jack harvests 20 acres per day and gets 200 bushels of wheat per acre. Using the unit rate formula, calculate the number of bushels of wheat he needs to harvest in a day.
Solution:
Step 1: Identify the two quantities.
Let, a = quantity harvested and b = number of days required.
So,
A = 20 * 200
a ...
Show all
What teachers are saying about BytelearnWhat teachers are saying
Stephen Abate
19-year math teacher Carmel, CA
Any math teacher that I know would love to have access to ByteLearn.
Jennifer Maschino
4-year math teacher Summerville, SC
“I love that ByteLearn helps reduce a teacher’s workload and engages students through an interactive digital interface.”
Rodolpho Loureiro
Dean, math program manager, principal Miami, FL
“ByteLearn provides instant, customized feedback for students—a game-changer to the educational landscape.”
