GCF
Concepts/Theories
Ratios
Tables & Proportionality
Graphs & Proportionality
100
What does G.C.F. stand for?
Greatest Common Factor
100
What is the unit rate?
The unit rate is ...
ex. The simplified version of a ratio.
ex. 10 miles per hour
ex. The constant of proportionality
100
What are the three ratios in fraction form? 
The three ratios are
18/2 , 27/3 & 36/4
100
In the table below, which column represents your y-values? Your x-values? 
The x-values are represented by Time (in hours) and the y-value is represented by Wages (in dollars).
100
What two things are required in order for a graph to be considered proportional?
1. It must go through the origin
2. It has to be a straight line
200
What is the GCF for 7 and 9 ?
The GCF is 1
200
Is the simplified ratio the same as the constant of proportionality? Explain.
Yes because the simplified ratio represents the constant number and so does the constant of proportionality. In addition a constant number only exists if the relationship is proportional and the constant of proportionality only exists if the relationship is proportional.
200
If I have 9 tennis balls in 3 cans, what is the ratio between tennis balls and cans?
9/3 -> 3/1 -> 3
200
If you have a pair of ordered numbers in a table whose simplified ratio is not equal to the other ones, is the relationship proportional or not proportional?
In order for a relationship to be proportional then all the simplified ratios must be EQUAL in order to have a constant number or constant of proportionality.
200
For every 3 pieces of bread I buy I spend $6. Create a graph with three points on it.
Answers will vary.
300
If the GCF for 6/48 is 6, what number do you divide by in order to simplify?
You divide by 6, because once you find the GCF you can use it to simplify a fraction.
300
If you know the dependent and independent values how do you write the ratio?
The ratio is written as dependent value/independent value.
300
Can I use the ratio to find the constant of proportionality in a proportional relationship?
Yes! the ratio will simplify to the constant number which is the same as the constant of proportionality.
300
Create your own table showing a proportional relationship.
Answers will vary.
300
How much will Amber get paid if she works 3 hours? 
She will get paid $24 because
$8 * 3 = $24
400
Simplify 9/54 by dividing the fraction by the GCF.
The simplified fraction is 1/6
400
Give me an example of something that is dependent and something that is independent.
Dependent means that it changes as the independent variable changes.
Examples will vary.
400
What is the general equation form?
y = kx
400
What does 3 and 27 mean in terms of what the table represents? 
The 3 means that for every 3 hours worked John gets paid $27.
400
What does the point (0,0) mean in terms of the relationship? 
(0,0) means that if Amber worked 0 hours then she got paid $0 dollars.
500
Do 36/81 and 9/18 have the same GCF? If yes, what is it? If not then tell me their respective GCF's.
Yes, the GCF for 36/81 is 9 and the GCF for 9/18 is 9.
500
If I am paid $15 per hour is the relationship between the money I am paid and the number of hours always going to be proportional?
Yes because you will always be paid $15 per hour and it changes as you increase or decrease the number of hours you work proportionally.
500
If the constant of proportionality, k= 3/5, what is the equation?
y = kx -> y = 3/5 x
500
Find the constant of proportionality and write an equation that will model the relationship between wages and time. 
18/2 -> 9/1 -> 9
27/3 -> 9/1 -> 9
36/4 -> 9/1 -> 9
k = 9 ; y= kx ; y = 9x
500
Write an equation that represents the relationship between the number of hours worked and the amount of pay. 
Choose any point on the line. For example (2,16) The ratio is 16/2, once simplified it is 8, which is equal to the constant of proportionality, k. Therefore the equation is
y = kx -> y= 8x