
Conditional Relative Frequency
Presentation
•
Mathematics
•
8th Grade
•
Hard
Joseph Anderson
FREE Resource
11 Slides • 16 Questions
1
8.SP.4 - Relative Frequency
8.F.1 - Function or Not a Function
8.F.3 - Linear Vs. Nonlinear
8.F.5 - Examine Function Graphs
2
Part / Whole * 100 = %
Whole = One of the specified totals
Conditional Relative Frequency
Part / Whole * 100 = %
Whole = Total of all Totals
Relative Frequency
Be careful of key words: OF, WHO and THAT
3
Multiple Choice
What is the relative frequency that students prefer movies and popcorn?
14%
42.4%
35%
13%
4
Multiple Choice
Of students who prefer movies, what is the relative frequency that prefer popcorn?
14%
42.4%
35%
13%
5
Of students who prefer movies, what is the relative frequency that prefer popcorn?
Conditional Relative Frequency
What is the relative frequency that students prefer movies and popcorn?
Relative Frequency
14/108*100 = about 13%
14/33*100 = about 42.4%
6
Multiple Choice
Based on the table, what percentage of campers who are 13-16 years old prefer the activity of swimming?
30.5%
20%
12.5%
5%
7
Multiple Choice
What is the approximate relative frequency of students who have a Brand X cell phone?
18%
35%
46%
82%
8
Multiple Choice
Of the children who order a sundae, approximately what percentage get crushed candy?
17.1%
17.7%
27.3%
28.2%
9
Graph - Does not pass the VLT (Crosses more than once)
Table - for each input (x) there is more than output (y)
Not a Function
Graph - Passes the Vertical Line Test (Crosses once)
Table - for every input (x) there is only one output (y)
Function
10
Not a Function
Function
11
Multiple Choice
Which table represents a function?
12
Multiple Choice
Which statement best describes the graph?
The graph does not represent a function because for every input value, there is only one output value.
The graph does not represent a function because for some input values, there is more than one output values.
The graph represents a function because for every input value, there is only one output value.
The graph represents a function because for some input values, there is more than output value.
13
Multiple Choice
Which statement is true?
The graph is a function because for every input, there is exactly one output.
The graph is a function because for multiple inputs, there is more than one output.
The graph is not a function because for every input, there is exactly one output.
The graph is not a function because for multiple inputs, there is more than one output.
14
Multiple Choice
Which statement describes the graph?
The graph does not represent a function because for every input value, there is only one output value.
The graph does not represent a function because for some input values, there is more than one output value.
The graph represents a function because for every input value, there is only one output value.
The graph represents a function because for some input values, there is more than one output value.
15
Graph - Not a Straight line
Table - Does not have a Constant Rate of Change (Slope)
Equation:
x is in the denominator
x has a power of 2, 3, 4, etc...
x is under a square/cube root
x is the exponent
x is multiplied more than once (this changes the exponent on x)
Nonlinear
Graph - Straight line
Table - Constant Rate of Change (Slope)
Equation:
x must have an invisible exponent of 0 or 1 and be in the numerator
Linear
16
Nonlinear Examples
Linear Examples
17
Multiple Choice
Which graph is a linear function?
18
Multiple Select
Select all equations that are linear. Choose two correct answers.
4+y=2x
x2+8=−x
2x2+x=3x−5
y−2=2(x−5)
y=2x
19
Multiple Select
Which two equations represent a nonlinear function?
y=2(x−1)+1
y=2x−1
y=(x−1)2
y=3x−1
y=x−1
20
These problems look a lot alike. Can you tell the difference?
21
Match the Scenario or Graph
or
Between x values, what is happening?
Often given as two types of problems:
22
A student leaves home and walks at a constant rate to a friend's apartment before heading to school. The student stops at the friend's apartment for a period of time before continuing the walk at a faster pace.
Match the Scenario or Graph
Which graph best represents the distance the student has walked since leaving home?
23
Multiple Choice
Read the scenario and answer the question.
24
Between x values, what is happening?
25
Multiple Choice
Which statement is true?
When x is between -8 and -5, the function is nonlinear and decreasing.
When x is between -5 and 1, the function is linear and increasing.
When x is between 1 and 7, the function is linear and increasing.
When x is between 7 and 9, the function is nonlinear and decreasing.
26
Multiple Choice
Which statement is true?
When −2<x<1 the function is decreasing, and when 3<x<6 the function is decreasing.
When −2<x<1 the function is decreasing, and when 3<x<6 the function is increasing.
When −2<x<1 the function is increasing, and when 3<x<6 the function is decreasing.
When −2<x<1 the function is increasing, and when 3<x<6 the function is increasing.
27
Draw
Give Lou a hat.
8.SP.4 - Relative Frequency
8.F.1 - Function or Not a Function
8.F.3 - Linear Vs. Nonlinear
8.F.5 - Examine Function Graphs
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