Unit Rate
Proportional Relationships
Graphing Proportional Relationships
Vocabulary
Random
100
Which of the following is not a unit rate?
$5.99/ 1 lb
65 miles per hour
$46.25/ 4 hours
$46.25/ 4 hours
100
Would you rather have 1/2 or 2/4 of a pizza?
They are proportional!!!
100
Which of the following shows a proportional relationship?
Graph A
100
What does k stand for?
Constant of Proportionality
100
What is Mr. Guerrero's favorite football team?
Pittsburgh Steelers
200
Solve for the Unit Rate:
$32/ 4 hours
$8/ 1 hour
200
We use this letter to represent the Constant of Proportionality.
k
200
What two things does a graph need to have to be proportional?
It must be a straight line and cross through the origin.
200
A whole number, can not be a fraction or decimal
Integer
200
What did Mr. Guerrero go to college for?
Hint: It's not teaching
Biology and Chemistry
300
The unit rate can be found by solving for the Y value when X = ?
x = 1
300
Is the following table proportional? Why?
No, it does not have a Constant of Proportionality.
300
How could you solve for k using the following graph?
Divide a Y value by its corresponding X value.
300
A fraction that has a fraction in either the numerator, denominator, or both.
Complex Fraction
300
Mr. Guerrero used to play this sport growing up.
Soccer
400
Jack works as a lifeguard at Water World. One week he worked for 30 hours, and he was paid a total of $337.50. What is his pay rate per 1 hour?
$11.25/hour
400
Determine if the following situation is proportional or not:
Jasper is buying art supplies from Amazon. He pays $3 per bottle of paint plus a one-time fee of $5.99 to ship his entire order.
No, because of the $5.99 fee
400
What point represents the Constant of Proportionality (unit rate) on the graph below? Give in (x,y) form.
(1,6)
400
A rate that has the denominator (bottom number) equal to one. Example: $4.99/1 lb
Unit Rate
400
True or False: Mr. Guerrero lives in the same neighborhood at Stuart Middle School.
False
500
What would be the first step in solving the Unit Rate for the following problem:
1 1/4 cups/ 5 quarts
Convert the mixed number to an improper fraction.
500
Find k in the following table:
k=1.6
500
Explain how you would complete the following equation using either a graph or table.
y = kx
1. Solve for k using a Y value divided by its corresponding x value.
2. Plug the k value into the equation where we see k
500
An equality, or equation, that relates equal ratios
Proportion
500
Mr. Guerrero has lived in three cities in his life: Pittsburgh, Denver, and ...
Dallas, Texas