Vocab 1
a measure of the steepness of a line on a graph
Slope
Find the slope of...
(30,150)
(think y/x)
5/1 or 5
the rate that shows how one quantity changes in relation to another quantity
rate of change
I drove 50 miles in one hour, but the second hour I drove 60 miles.
Is this a proportional relationship?
No, because to be proportional there has to be a constant rate. (Unit rate)
Whole numbers and their opposites.
integers
It always has a denominator of 1.
Unit rate
Find the slope of...
(8,2)
(think y/x)
1/4
the constant (unchanged) ratio of two quantities; in direct variation, it is usually denoted as k
constant of variation
I run 5 miles everyday, so on day 3 I ran a total of 15 miles.
Is this a proportional relationship?
Hint: x=time y=miles
Yes, because everyday I ran 5 miles = unit rate.
Numbers that cannot be written as
Fractions.
irrational numbers
Rate in which the second quantity in the comparison is one unit
Unit rate
Find the slope…
(12,96)
(think y/x)
1/8
slope or unit rate
(1,5)
(2,7)
(3,10)
(4,15)
Is this a proportional relationship? yes or no. Make a graph
No, how can u make it proportional?
a mathematical sentence that uses symbols such as <, ≤, >, or ≥ to compare two quantities.
inequality
a fixed number that stands alone in an equation or expression.
Constant
Find the slope…
(28,14)
(Make sure to simplify)
(think y/x)
2/1 or 2
the positive constant, usually denoted k, that relates two quantities in the form y = kx
constant of proportionality
(1,40)
(2,80)
(3,?)
(4,?)
Fill in the missing numbers if this is a proportional relationship…
120
160
a mathematical sentence that uses numbers, one or more operation symbols, and an equal sign.
equation
when two quantities have the same ratio
for example: 5/1 to 15/3
Proportional Relationship
Find the slope…
(120,15)
(think y/x)
8 or 8/1
a letter or symbol that takes the place of a number that can change; a letter that can stand for an unknown number or a set of numbers.
variable
(X,Y)
(1,20)
(2,40)
(3,60)
(4,80)
What is the unit rate?
Slope/Unit rate= 20
the number placed directly before a variable that tells you to multiply that number by the variable.
coefficient