Ratios/Rates/Unit Rate
Proportions
Part to Whole Proportions and Direct Proportions
Proportional Relationships using Tables, Graphs, Equations
100
Solve for the unit rate 54 miles/ 2 gallons
what is 27 miles per gallon
100
Solve for x x/8 = 2/4
x = 4
100
There are 4 girls to every 1 boy in Mr. Sam's class. If the total class has 20 people. How many girls in total are in the class? Create a proportion.
What is 16 girls?
100

A table shows that 2 pencils cost $4 and 4 pencils cost $8. What is the constant of proportionality?

What is 2

200
Write as a ratio: 42 pairs of hi-tops out of 56 pairs of sneakers?? Simplify
What is 3/4
200
Do they form a proportion. 3/14, 9/42
What is Yes
200
Yellow shirts come in packs of 4 and white shirts come in packs of 3. If Sal buys 28 shirts, how many shirts of each color does he buy?
Yellow shirts: 16 White shirts: 12
200

A graph passes through the points (0, 0) and (3, 9). Write the equation that represents this proportional relationship.

What is y=3x

300
Compares two quantities that have different units of measure
What is a rate?
300
Write a PROPORTION: It took 10 students 4 hours to clean the gym after the prom. Which proportion can you use to find how long it would have taken 2 students to clean the gym?
10 students/ 4 hours = 2 students/x hours
300
For every 3 square feet that Lily plants, Josh plants 2 square feet. If Lily plants 12 square feet, how many square feet are planted in all?
What is 20 square feet?
300

A table shows that 5 hours worked earns $60, and 8 hours worked earns $96. What is the unit rate (dollars per hour)?

What is $12 per hour? 

400
Write the unit rate for $375 saved in 5 years
What is $75 per year
400
Determine if the set of ratios is equivalent 72/45 ______ 16/10
What is yes? =
400
True or False: This is an example of direct proportion: The longer Sal drives, the less fuel he has left.
What is False? Direct proportion is when two quantities move in the same direction or have the same kind of change.
400

Two graphs are drawn. Graph A passes through (0, 0) and (2, 10). Graph B passes through (0, 0) and (4, 12). Which graph has the greater constant of proportionality, and what is its value?

What is Graph A, with a constant of proportionality of 5?

500
A ball fell 144 ft in 3 seconds. How far did it fall in one second?
What is 48 ft per second.
500
3 cups of nuts are needed to make 48 cookies. How many cookies will 5 cups of nuts make?
What is 80 cookies.
500
Katy works at a Subway. She can make 27 sandwiches in 3 hours. At that rate, how long does she have to work to make 81 sandwiches?
What is 9 hours?
500

A bakery sells 3 cupcakes for $7.50. If the relationship between number of cupcakes and cost is proportional, how much would 12 cupcakes cost? Write the equation that represents this relationship

What is $30, with the equation y=2.5x