Equivalent Ratios
- Due Nov 16, 2021 at 9:59pm
- Points 8
- Questions 8
- Time Limit None
- Allowed Attempts 3
Instructions
Students will be able to find the equivalence for ratios and rates by comparing unit rates or fractions that are given with 75% accuracy.
How do you use equivalent rates in the real world?
M06.A-R.1.1.2 Find the unit rate a/b associated with a ratio a:b (with b ≠ 0) and use rate language in the context of a ratio relationship.
Textbook page: 59
ratios, equivalent ratios, unit rates
Check out the BrainPop video that Tim and Moby have on simplifying fractions.
(I know we are passed fractions, but the same concept applies when we simplify ratios and make equivalent ratios.)
Photography 
Andrea spent $2 to make 10 prints from a photo booth. Later, she spent $6 to make 30 prints.
| Number of Prints | Cost ($) |
| 10 | 2 |
| 30 | 6 |
- Write each rate as a fraction to express the relationship of prints to cost.
- What is the unit rate for 10 prints?
- What is the unit rate for 30 prints?
Highlight for the answer (1)10/$2 and 30/$6 , (2) 5 prints/$1, (3) 5 prints/$1
How do we find equivalent ratios?
The word equivalent means equal to. In this lesson we are working to compare ratios and determine if they are equal to one another.
- One way to compare and check for equivalence is by looking at the unit rates.
- Remember, a unit rate has a denominator of 1, so finding the equivalence of a ratio or rate using the unit rate makes things a little easier.
- Let's take a look at an example:
- In the problem above:
- the first ratio 3:21 is divided by 3 to get a unit rate of 7:1
- the second ratio 35:5 is divided by 5 to get a unit rate of 7:1
- when you compare 7:1 and 7:1, they are equal or equivalent.
- A second way is to compare quantities as fractions. In their simplest form, you can determine if the relationship between the two quantities is the same.
- In the problem above:
- the two ratios are written and set equal to one another.
- the numerator and denominator are able to be divided by two.
- because both top and bottom are divisible by two this creates an equivalent ratio.
Watch this video to learn how to compare rates two different ways.
Check your understanding by completing the problems below!
Click here for the practice problems - Equivalent Ratios Practice Problems
Use this link to check your answers.
Take a look at the Khan Academy video below to see another example using a recipe.
Practice more on IXL
After you have reviewed the entire lesson above including the videos and practice problems, click the next button to move on to the graded questions for equivalent ratios.
Make sure to send Mrs. Cole a canvas message if you have any questions or stop in during a lesson help time.