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Graphing Proportional Relationships
Presentation
•
Mathematics
•
5th - 8th Grade
•
Medium
+1
Standards-aligned
Kelsey Angel
Used 552+ times
FREE Resource
5 Slides • 14 Questions
1
Graphing Proportional Relationships
- I can identify a proportional relationship from a graph.
- I can identify the unit rate (1,r) from a graph.
2
Properties of Proportional Graphs
All graphs that represent a proportional relationship must be a straight line (linear)
Proportional relationships must also show the line passing through the origin (0,0)
The point on the graph (1, r) is the unit rate which is also constant of proportionality (k).
3
Multiple Choice
Does this graph represent a proportional relationship?
4
Multiple Choice
Does this graph represent a proportional relationship?
5
Multiple Choice
Does this graph represent a proportional relationship?
6
Multiple Choice
Does this graph represent a proportional relationship?
7
Multiple Choice
Does this graph represent a proportional relationship?
8
Identifying Unit Rate and K from a Graph
The point on the graph (1, r), where r represents the unit rate, is also constant of proportionality (k).
9
Multiple Choice
What is the unit rate (or "k") in this graph?
10
Multiple Choice
What is the unit rate (or "k") in this graph?
11
Multiple Choice
What is the unit rate (or "k") in this graph?
12
Multiple Choice
What is the unit rate (or "k") in this graph?
13
Identifying Unit Rate and K from a Graph
So what happens when you don't see (1, r) plotted on the graph?? ...
Coordinate pairs can also be used to calculate the unit rate because k is the same thing as unit rate!
where y is the y-coordinate and x is the x-coordinate.
14
Multiple Choice
What is the unit rate (or "k") in this graph?
15
Multiple Choice
What is the unit rate (or "k") in this graph?
16
Describing the Meaning of Unit Rate from a Graph
Unit rate and the constant of proportionality describe the relationship between two quantities.
This graph shows k=10/5 so k=2.
The graph shows, for every 1 text message sent, we are charged $2.00!
17
Multiple Choice
What does the point (1, 50) represent in the graph?
18
Multiple Choice
What does the point (1, 60) represent in the graph?
19
Multiple Choice
What does the point (1, 7.5) represent in the graph?
Graphing Proportional Relationships
- I can identify a proportional relationship from a graph.
- I can identify the unit rate (1,r) from a graph.
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