If you can multiply each of the numbers in the first ratio by the same factor to get the numbers in the second ratio.
Equivalent Ratios
Jacob is attending lessons to learn how to play an instrument. He can attend 4 hours of lessons for a total of $100. Assuming the price per hour is constant, how much would it cost for 9 hours of lessons? Show your work.
At $25 per hour, 9 hours of lessons would cost $225.
Write 6 penguins to 8 llamas as a ratio in 2 ways.
6 to 8 and 6:8
Are these rates equivalent? $3 for 6 Rice Crispy Treats; $9 for 24 Rice Crispy Treats?
No, the rates are not equivalent.
What is the largest population of penguin species?
Macaroni penguin
The cost for one item or one unit of measure
Unit Price
If Ms. Marsh types 120 words per 3 minutes, what is her rate of typing?
40 words per minute
Use the picture to complete the problems.

a. Complete the table to show how many of each shape there are.

b. The ratio of circles to squares is ______ : ______.
c. For every _____ circles, there are _____ squares.
a. 4 squares: 2 circles
b. 2: 4
c. 2, 4
Are these rates equivalent? 96 words typed in 3 minutes; 160 words typed in 5 minutes.
Yes, the rates are equivalent.
What college did your teachers go to?
Ms Lindvold - Old Dominion University
Mr. Viridian - University of California - Irvine
What does "for each" mean?
Per
1 quart is equivalent to 64 tablespoons, as shown on the double number line diagram below.

How many quarts are equivalent to 96 tablespoons?
1 1/2 quarts are equivalent to 96 tablespoons.
The double number line diagram shows Jia running at a constant speed.

At this rate, how far could Jia run in 50 minutes? Use the double number line diagram to support your answer.
b. How long did it take Jia to run 1 mile? Use the double number line diagram to support your answer.
c. At this rate, could Jia run 5 miles in under 20 minutes? Explain your reasoning.
a. Jia can run 10 miles in 50 minutes.
b. It took Jia 5 minutes to run 1 mile.
c. No, It would take Jia 25 minutes to run 5 miles.
Are these ratios equivalent? 60 miles on 5 gallons of fuel; 240 miles on 20 gallons of fuel.
Yes, they are equivalent ratios.
What sport did Ms. Lindvold and Mr. Viridian play together?
Softball and Mr. Viridian was one of the pitchers!
A comparison between two numbers is called a
Ratio
Reed is selling 4 bags of marbles for $12. What is the unit price for bags of marbles? Use the double number line diagram to support your answer.

The unit price is _____________ because
The unit price for one bag of marbles is $3. You find the price of one by dividing the total cost by quantity of marbles.
The diagram shows how much red and white paint is needed for a pink paint mixture.

a. The ratio of cups of red paint to tablespoons of white paint is _____ : _____.
b. For every _____ cups of red paint, there are _____ tablespoons of white paint.
a. 6:2
b. 6, 2 or 3, 1
At the kennel, there are 3 dogs for every 4 cats.
1. The ratio of dogs to cats is _____ to _____.
2. Is 6 dogs to 8 cats equivalent to 3 dogs to 4 cats?
1. 3:4
2. Yes.
How many pets do your teachers have?
Ms. Lindvold
Mr. Viridian
Ms. Marsh
Ms. Frederick
Ms. Lindvold - 7
Mr. Viridian - 1
Ms. Marsh - 3
Ms. Frederick -
It measures speed. It tells how many meters an object goes in one second.
Meters per second
Noelle bought these items at Winco Find each unit price.
a. 12 eggs for $4. How much is the cost per egg?
b. 3 cartons of milk for $15. What is the price per carton of milk.
c. 4 rolls of toilet paper for $4. How much is the cost per roll?
a. The cost per egg is $3.
b. The cost per carton of milk is $5.
c. The cost per toilet paper roll is $1.
Kholter and Azaylia are making strawberry-banana smoothies. Their recipes are shown below:

Who’s recipe will have a stronger strawberry flavor? Show your work and explain your reasoning.
Kholter's recipe will have a stronger strawberry flavor because for every 40 strawberries he will have 10 bananas. Azaylia's recipe is for every 40 strawberries she will have 12 bananas.
S:8, 16, 24, 32, 40
B: 2, 4, 6, 8, 10
S:10, 20, 30, 40
B:3, 6, 9, 12
Are these two ratios equivalent? 6:4 and 18:8
No the ratios are not equivalent.
How many countries has your teachers visited?
Ms. Lindvold - 21
Mr. Viridian - 2
Ms. Marsh - 1