Ratio Basics
Equivalent Ratios
Ratio Tables
Unit Rates
Vocabulary Mix
100
What is the definition of a ratio?
A comparison between two different quantities
100
What does it mean for two ratios to be equivalent?
They represent the same relationship.
100
What is the definition of a ratio table?
A table that shows pairs of numbers that form equivalent ratios.
100
What is a unit rate?
how much there is for one of something. A comparison where the second number is 1
100
What does it mean to “simplify" a ratio?
Make a ratio smaller but still equivalent by dividing both numbers by the same factor
200
What are the three ways to write a ratio comparing 3 apples and 5 oranges?
WORDS 3 to 5
COLON 3:5
FRACTION 3/5
200
Is 2:3 equivalent to 30:45?
Yes, both simplify to 2:3.
200
Complete the table for the ratio 2:3 →
8
12
200
If a car travels 180 miles in 9 hours, what is the unit rate?
20 miles per hour.
200
What is a scale factor?
The ratio of two corresponding sides in a set of similar figures
300
If a class has 8 girls and 12 boys, what is the ratio of girls to boys in simplest form?
8:12 = 2:3
(Divide each side by 4)
300
Fill in the blank: 5:8 = 10:___
16
300
If 4 pencils cost $2, how much do 10 pencils cost using a ratio table?
$5
300
A package of 8 notebooks costs $12. What is the cost per notebook?
$1.50 per notebook.
300
If the scale factor is 3, and the original ratio is 2:5, what is the new ratio?
6:15
400
The ratio of cats to dogs is 5:10. What does this mean?
For every 5 cats, there are 10 dogs
400
What are the TWO ways you find an equivalent ratio?
Multiply or divide both terms by the same number.
400
In a ratio table, what pattern (vocabulary term) do you see between the numbers in equivalent ratios?
They increase or decrease by the same scale factor.
400
How do you find the unit rate?
Divide the first quantity by the second quantity.
400
Which term means “equal in value or amount”?
Equivalent
500
A class has 4 teachers for every 80 students. What is the unit rate of teachers per student?
1 teacher for every 20 students
500
Which ratio is equivalent to 9:12? 3:4 or 6:8?
Both are equivalent to 9:12.
500
Use a ratio table to find how many cups of juice are needed for 15 servings if 5 servings use 2 cups.
6 cups
500
A printer can make 225 copies in 5 minutes. What is the unit rate of copies per minute?
45 copies per minute
500
In the ratio 12:16, what is the greatest common factor, and what is the simplified ratio?
GCF = 4
Simplified ratio = 3:4